332354 + Interview Questions in Secondary School in Math

1.	Rationalise the denominator and simplify with steps
Answer» ONG>Answer: hope you will UNDERSTAND it this question is toooo long please follow me and GIVE me lots of thanks

1.

Rationalise the denominator and simplify with steps

Answer» ONG>Answer:

hope you will UNDERSTAND it this question is toooo long

please follow me and GIVE me lots of thanks

Discussion

2.	Substitution methodx+y=14x-y=4
Answer» ong>Answer: x+y=14 eq(1) x-y=4 eq(2) by eq 1 x= 14-y (3) substituting this value in eq (2) , we get 14-y-y=4 14-2y=4 -2y= 4-14 -2y= -10 y = 5 substituting the value of y in eq (3), we get x= 14-5 x= 9 HENCE x= 9 and y = 5 hope this will HELP you

2.

Substitution methodx+y=14x-y=4

Answer»

ong>Answer:

x+y=14 eq(1)

x-y=4 eq(2)

by eq 1

x= 14-y (3)

substituting this value in eq (2) , we get

14-y-y=4

14-2y=4

-2y= 4-14

-2y= -10

y = 5

substituting the value of y in eq (3), we get

x= 14-5

x= 9

HENCE x= 9 and y = 5

hope this will HELP you

Discussion

3.	please help me in above question
Answer» ONG>ANSWER: $if \: \cos( \gamma ) = 2x \div 1 + x^2$ please help me in above question

3.

please help me in above question

Answer» ONG>ANSWER:

$if \: \cos( \gamma ) = 2x \div 1 + x^2$

please help me in above question

Discussion

4.	Question 1.3x10000+0x1000+8x100+0x10+7x13x10000+0x1000+8x100+0×1+7×1 same as(A) 30087
Answer» ONG>Answer: 3x10000+0x1000+8x100+0x10+7x1 One's PLACE = 7 Ten's place = 0 Hundred's Place = 8 THOUSAND's Place = 0 Ten Thousand's place = 3 Hence Number = 30807 3x10000+0x1000+8x100+0x10+7x1 = 30807 or 3x10000+0x1000+8x100+0x10+7x1 = 30000 + 0 + 800 + 0 + 7 = 30000 + 800 + 7 = 30000 + 807 = 30807 3x10000+0x1000+8x100+0x10+7x1 = 30807 hope its HELPFUL

4.

Question 1.3x10000+0x1000+8x100+0x10+7x13x10000+0x1000+8x100+0×1+7×1 same as(A) 30087

Answer» ONG>Answer:

3x10000+0x1000+8x100+0x10+7x1

One's PLACE = 7

Ten's place = 0

Hundred's Place = 8

THOUSAND's Place = 0

Ten Thousand's place = 3

Hence Number = 30807

3x10000+0x1000+8x100+0x10+7x1 = 30807

or

3x10000+0x1000+8x100+0x10+7x1

= 30000 + 0 + 800 + 0 + 7

= 30000 + 800 + 7

= 30000 + 807

= 30807

3x10000+0x1000+8x100+0x10+7x1 = 30807

hope its HELPFUL

Discussion

5.	ABC is an isosceles triangle such that AB =AC , angleB =550 and AD is the median to base BC. Then ,the measure of angle BAD is(a) 550 (b) 70 0 (c) 350 (d) 900
Answer» ong>ANSWER: HIII..answer is in the attachment below.... Give THANKS!!!!!!!! Follow me!!!! MARK as brailiest!!!!! Thanks!!!

5.

ABC is an isosceles triangle such that AB =AC , angleB =550 and AD is the median to base BC. Then ,the measure of angle BAD is(a) 550 (b) 70 0 (c) 350 (d) 900

Answer»

ong>ANSWER:

HIII..answer is in the attachment below....

Give THANKS!!!!!!!!

Follow me!!!!

MARK as brailiest!!!!!

Thanks!!!

Discussion

6.	Which of the following is a solution of the equation x²- 6x + 5=0? * 1 pointa)2b)5c)9d)15
Answer» ong>Answer: ANS is B)5 Step-by-step EXPLANATION: x^2−6x+5=0 ⟹x^2−5x−x+5=0 ⟹x(x−5)−(x−5)=0 ⟹(x−1)(x−5)=0 ⟹x=1,5

6.

Which of the following is a solution of the equation x²- 6x + 5=0? * 1 pointa)2b)5c)9d)15

Answer»

ong>Answer:

ANS is B)5

Step-by-step EXPLANATION:

x^2−6x+5=0

⟹x^2−5x−x+5=0

⟹x(x−5)−(x−5)=0

⟹(x−1)(x−5)=0

⟹x=1,5

Discussion

7.	Solve each of the following equations. (a) k by 3=5
Answer» ONG>ANSWER: k=15 Step-by-step EXPLANATION: k/3=5 =>k=5x3 =15

7.

Solve each of the following equations. (a) k by 3=5

Answer» ONG>ANSWER:

k=15

Step-by-step EXPLANATION:

k/3=5

=>k=5x3

=15

Discussion

8.	On subtracting (-15) from 15, we get
Answer» ong>Answer: we GET from this QUESTION answer 0

8.

On subtracting (-15) from 15, we get

Answer»

ong>Answer:

we GET from this QUESTION answer 0

Discussion

9.	15.Lines in a plane which do not meetanywhere are calledlinesYour answer
Answer» ong>Answer: the answer is parallel lines Step-by-step EXPLANATION: as they NEVER meet

9.

15.Lines in a plane which do not meetanywhere are calledlinesYour answer

Answer»

ong>Answer:

the answer is parallel lines

Step-by-step EXPLANATION:

as they NEVER meet

Discussion

10.	if tan is equal to 20 /19 show that 1 -sin theta +cos theta /1 +sin theta +cos the tha is equal to 3 /7
Answer» ONG>Answer: search from. google Step-by-step explanation: SORRY

10.

if tan is equal to 20 /19 show that 1 -sin theta +cos theta /1 +sin theta +cos the tha is equal to 3 /7

Answer» ONG>Answer:

search from. google

Step-by-step explanation:

SORRY

Discussion

11.	27,40,53,66...24th term of this ap is
Answer» ONG>Step-by-step explanation: given a= 27 and d= a2-a1 d= 13 n= 24 , putting VALUE in the formula an= a+(n-1) d 27+ (24-1) 13 27+ 299 = 326

11.

27,40,53,66...24th term of this ap is

Answer» ONG>Step-by-step explanation:

given a= 27 and d= a2-a1

d= 13

n= 24 ,

putting VALUE in the formula

an= a+(n-1) d

27+ (24-1) 13

27+ 299

= 326

Discussion

12.	HCF OF 10.35,40 WHAT
Answer» OF 10 IS 5 and 40 is 8 Step-by-step explanation: i THINK it helps you FOLLOW me

12.

HCF OF 10.35,40 WHAT

Answer»

OF 10 IS 5

and 40 is 8

Step-by-step explanation:

i THINK it helps you

FOLLOW me

Discussion

13.	Draw the graph of the two lines, whose equations are 3x + 2y – 6 = 0 & x + 2y – 6 = 0 on the same graph paper. Find the area of the triangleformed by the two lines and x-axis.
Answer» ONG>Answer: please MARK me as BRAINLIST Step-by-step EXPLANATION: please mark me as brainlist please mark me as brainlist please mark me as brainlist please mark me as brainlist please mark me as brainlist please mark me as brainlist please mark me as brainlist please mark me as brainlist please mark me as brainlist please mark me as brainlist please mark me as brainlist

13.

Draw the graph of the two lines, whose equations are 3x + 2y – 6 = 0 & x + 2y – 6 = 0 on the same graph paper. Find the area of the triangleformed by the two lines and x-axis.

Answer» ONG>Answer:

please MARK me as BRAINLIST

Step-by-step EXPLANATION:

please mark me as brainlist

Discussion

14.	If CP= 720 ,principle = 55.50 what will be SP
Answer» ong>Answer: hope it helps you Step-by-step EXPLANATION: if it helps then PLZ MARK me as brainliest

14.

If CP= 720 ,principle = 55.50 what will be SP

Answer»

ong>Answer:

hope it helps you

Step-by-step EXPLANATION:

if it helps then PLZ MARK me as brainliest

Discussion

15.	[1.] 2x² - 24x + 70[2.] (m²+5m-14) / (m-2)
Answer» ong>Step-by-step explanation: (1) x2" was REPLACED by "x^2". Step by step solution : STEP 1: Equation at the end of step 1 (2x2 + 24x) + 70 = 0 STEP 2: Pulling out like terms STEP 3 : Pull out like factors : 3.1 2x2 + 24x + 70 = 2 • (x2 + 12x + 35) Trying to factor by splitting the middle term 3.2 Factoring x2 + 12x + 35 The first term is, x2 its coefficient is 1 . The middle term is, +12x its coefficient is 12 . The last term, "the constant", is +35 Step-1 : Multiply the coefficient of the first term by the constant 1 • 35 = 35 Step-2 : Find two factors of 35 whose sum equals the coefficient of the middle term, which is 12 . -35 + -1 = -36 -7 + -5 = -12 -5 + -7 = -12 -1 + -35 = -36 1 + 35 = 36 5 + 7 = 12 That's it Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 5 and 7 x2 + 5x + 7x + 35 Step-4 : Add up the first 2 terms, pulling out like factors : x • (x+5) Add up the last 2 terms, pulling out common factors : 7 • (x+5) Step-5 : Add up the four terms of step 4 : (x+7) • (x+5) Which is the desired factorization Equation at the end of step 3: 2 • (x + 7) • (x + 5) = 0 STEP 4 : Theory - Roots of a product 4.1 A product of several terms equals zero. When a product of two or more terms equals zero, then at least one of the terms must be zero. We shall now solve each term = 0 SEPARATELY In other words, we are GOING to solve as many equations as there are terms in the product Any solution of term = 0 solves product = 0 as well. Equations which are never TRUE: 4.2 Solve : 2 = 0 This equation has no solution. A a non-zero constant never equals zero. Solving a Single Variable Equation: 4.3 Solve : x+7 = 0 Subtract 7 from both sides of the equation : x = -7 Solving a Single Variable Equation: 4.4 Solve : x+5 = 0 Subtract 5 from both sides of the equation : x = -5 (m + 2) • (m - 7) = 0 Hey, basanti kaise hu??☺

15.

[1.] 2x² - 24x + 70[2.] (m²+5m-14) / (m-2)

Answer»

ong>Step-by-step explanation:

(1) x2" was REPLACED by "x^2".

Step by step solution :

STEP 1: Equation at the end of step 1

(2x2 + 24x) + 70 = 0

STEP 2: Pulling out like terms

STEP 3 : Pull out like factors :

3.1 2x2 + 24x + 70 = 2 • (x2 + 12x + 35)

Trying to factor by splitting the middle term

3.2 Factoring x2 + 12x + 35

The first term is, x2 its coefficient is 1 .

The middle term is, +12x its coefficient is 12 .

The last term, "the constant", is +35

Step-1 : Multiply the coefficient of the first term by the constant 1 • 35 = 35

Step-2 : Find two factors of 35 whose sum equals the coefficient of the middle term, which is 12 .

-35 + -1 = -36

-7 + -5 = -12

-5 + -7 = -12

-1 + -35 = -36

1 + 35 = 36

5 + 7 = 12 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 5 and 7

x2 + 5x + 7x + 35

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x+5)

Add up the last 2 terms, pulling out common factors :

7 • (x+5)

Step-5 : Add up the four terms of step 4 :

(x+7) • (x+5)

Which is the desired factorization

Equation at the end of step 3:

2 • (x + 7) • (x + 5) = 0

STEP 4 :

Theory - Roots of a product

4.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 SEPARATELY

In other words, we are GOING to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Equations which are never TRUE:

4.2 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.3 Solve : x+7 = 0

Subtract 7 from both sides of the equation :

x = -7

Solving a Single Variable Equation:

4.4 Solve : x+5 = 0

Subtract 5 from both sides of the equation :

x = -5

(m + 2) • (m - 7) = 0

Hey, basanti kaise hu??☺

Discussion

16.	17. In the adjoining figure, the value of x is:3xº 2x7хa) 15b) 10c) 12d) 18
Answer» ONG>ANSWER: d is the answer MARK as brainlliest

Discussion

17.	In the quadrilateral ABCD angle A =100 degree, angle D =70 degree. find angle C and angle B.
Answer» ONG>ANSWER: 105 degree I think this is the answer

17.

In the quadrilateral ABCD angle A =100 degree, angle D =70 degree. find angle C and angle B.

Answer» ONG>ANSWER:

105 degree

I think this is the answer

Discussion

18.	F(x) =\|z\| is differentiable or not
Answer» ONG>ANSWER: YES it is DIFFERENTIAL

Discussion

19.	Find the equation of the line passing through the point (1,3)and making an angle of 45° with the line x-3y+4=0
Answer» *Refer to attachment for diagram.* $\: \:$ ${\huge{\underline{\sf {\pink{Answer}}}}}$ $\: \:$ $\boxed{ 2x \: + \: y \: - \: 5 \: = \: 0 }$ $\: \:$ ${\huge{\underline{\sf {\pink{Explanation :}}}}}$ $\: \:$ GIVEN : $\: \:$ Line : x - 3y + 4 = 0 $\sf \theta = 45 \degree$ $\: \:$ To Find : $\: \:$ Equation of required line. $\: \:$ Solution : $\: \:$ $\sf \: Slope \: of \: line \: = \frac{ - (coefficient \: of \: x)}{coefficient \: of \: y} \\$ = $\frac{-(-3)}{<klux>1</klux>} \\$ = 3 $\: \:$ Angle = 45° $\sf \: tan \: \theta = \frac{{m}_{1} - {m}_{2}}{1 + {m}_{1}{m}_{2}} \\$ ↬ $\sf \: tan \: 45° = \frac{{m}_{1} - 3}{1 + {m}_{1} 3} \\$ ↬ $\sf \: 1 = \frac{m - 3}{1 + 3m} \\$ ↬ 1 + 3m = m - 3 ↬ 2m = - 4 ↬ m = -2 $\: \:$ Given point on the line = ( 1 , 3 ) Slope of given line = - 2 $\: \:$ Equation of line : $\: \:$ $\sf \: y - {y}_{1} = m(x - {x}_{1})$ ⇢ $\sf \: y - 3 = -2(x - 1)$ ⇢ $\sf \: y - 3 = -2x + 2$ ⇢ $\sf \: 2x + y - 5 = 0$

19.

Find the equation of the line passing through the point (1,3)and making an angle of 45° with the line x-3y+4=0

Answer»

Refer to attachment for diagram.

$\: \:$

${\huge{\underline{\sf {\pink{Answer}}}}}$

$\: \:$

$\boxed{ 2x \: + \: y \: - \: 5 \: = \: 0 }$

$\: \:$

${\huge{\underline{\sf {\pink{Explanation :}}}}}$

$\: \:$

GIVEN :

$\: \:$

Line : x - 3y + 4 = 0

$\sf \theta = 45 \degree$

$\: \:$

To Find :

$\: \:$

Equation of required line.

$\: \:$

Solution :

$\: \:$

$\sf \: Slope \: of \: line \: = \frac{ - (coefficient \: of \: x)}{coefficient \: of \: y} \\$

= $\frac{-(-3)}{<klux>1</klux>} \\$

= 3

$\: \:$

Angle = 45°

$\sf \: tan \: \theta = \frac{{m}_{1} - {m}_{2}}{1 + {m}_{1}{m}_{2}} \\$

↬ $\sf \: tan \: 45° = \frac{{m}_{1} - 3}{1 + {m}_{1} 3} \\$

↬ $\sf \: 1 = \frac{m - 3}{1 + 3m} \\$

↬ 1 + 3m = m - 3

↬ 2m = - 4

↬ m = -2

$\: \:$

Given point on the line = ( 1 , 3 )

Slope of given line = - 2

$\: \:$

Equation of line :

$\: \:$

$\sf \: y - {y}_{1} = m(x - {x}_{1})$

⇢ $\sf \: y - 3 = -2(x - 1)$

⇢ $\sf \: y - 3 = -2x + 2$

⇢ $\sf \: 2x + y - 5 = 0$

Discussion

20.	Internet Ka vardan in hindi
Answer» ONG>इंटरनेट हमारे लिए तब तक वरदान है जब तक हम एक सीमा तक इसका इस्तेमाल करें। अन्यथा यह हमारे लिए अभिशाप बन जाएगा। उन्होंने कहा कि इंटरनेट के माध्यम से हम अपने कार्यो को शीघ्रता से कर सकते हैं।

Discussion

21.	Q prove that the points A (1,1) B(-2,7)c (3,-3)Collinearby distance formula
Answer» ong>Answer: plz FOLLOW me Step-by-step EXPLANATION: i dont answer

21.

Q prove that the points A (1,1) B(-2,7)c (3,-3)Collinearby distance formula

Answer»

ong>Answer:

plz FOLLOW me

Step-by-step EXPLANATION:

i dont answer

Discussion

22.	(x - 3)(2x +1)= x(x + 5)
Answer» rong>ANSWER: therefore answer is x^2-10x+3 Step-by-step explanation: first TWO brackets U need to solve by breaking any one bracket. and then u need to multiply X with (x+5) . LATER u need to bring the same cofficient numbers on one side and solve it. I HOPE u like my explanation. please mark me as brainlist

22.

(x - 3)(2x +1)= x(x + 5)

Answer»

rong>ANSWER:

therefore answer is x^2-10x+3

Step-by-step explanation:

first TWO brackets U need to solve by breaking any one bracket. and then u need to multiply X with (x+5) . LATER u need to bring the same cofficient numbers on one side and solve it.

I HOPE u like my explanation.

please mark me as brainlist

Discussion

23.	(ii) ſ (sin x - cos x) dx
Answer» ong>Step-by-step explanation: Integral of sin(x) + COS(x) CONSIDER the following integral: � π sin(x) + cos(x) dx. 0 a) Use what you have learned about definite integrals to guess the value of this integral. b) Find antiderivatives of cos(x) and sin(x). Check your work. c) Use the addition property of integrals to compute the value of: � π sin(x) + cos(x) dx. 0 Check your work by comparing to your answer from part a. Solution a) Use what you have learned about definite integrals to guess the value of this integral. The addition property of integrals tells us that: � π � π � π sin(x) + cos(x) dx = sin(x) dx + cos(x) dx. 0 0 0 � π We saw in LECTURE that sin(x) dx = 2. 0 � π The value of cos(x) dx EQUALS the (signed) area between the graph of 0 y = cos(x) and the x-axis. Between 0 and �π π the amount of area above the axis equals the amount below the axis, so cos(x) dx = 0 0 We conclude that: � π sin(x) + cos(x) dx = 2. 0 b) Find antiderivatives of sin(x) and cos(x). Check your work. The DERIVATIVE of sin x is cos x, so sin(x) is an antiderivative of cos(x). The derivative of cos x is − sin x. To find a function whose derivative is sin(x) we multiply by −1 to get − cos(x). Check your work: d (− cos(x)) = −(− sin(x)) = sin(x); dx 1d sin(x) = cos(x). dx c) Use the addition property of integrals to compute the value of � π sin(x) + cos(x) dx. 0 Check your work by comparing to your answer from part a. � π � π � π sin(x) + cos(x) dx = sin(x) dx + cos(x) dx (addition property) 0 0 0 π π = − cos(x)\| + sin(x)\| (FFT2) 0 0 = [− cos(π) − (− cos(0))] + [sin(π) − sin(0)] = [−(−1) + 1] + [0 − 0] = 2. This agrees with our answer to part a.

23.

(ii) ſ (sin x - cos x) dx

Answer»

ong>Step-by-step explanation:

Integral of sin(x) + COS(x)

CONSIDER the following integral:

� π

sin(x) + cos(x) dx.

0

a) Use what you have learned about definite integrals to guess the value of this

integral.

b) Find antiderivatives of cos(x) and sin(x). Check your work.

c) Use the addition property of integrals to compute the value of:

� π

sin(x) + cos(x) dx.

0

Check your work by comparing to your answer from part a.

Solution

a) Use what you have learned about definite integrals to guess the value of this

integral.

The addition property of integrals tells us that:

� π � π � π

sin(x) + cos(x) dx = sin(x) dx + cos(x) dx.

0 0 0

� π

We saw in LECTURE that sin(x) dx = 2.

0

� π

The value of cos(x) dx EQUALS the (signed) area between the graph of

0

y = cos(x) and the x-axis. Between 0 and

�π

π

the amount of area above the

axis equals the amount below the axis, so cos(x) dx = 0

0

We conclude that:

� π

sin(x) + cos(x) dx = 2. 0

b) Find antiderivatives of sin(x) and cos(x). Check your work.

The DERIVATIVE of sin x is cos x, so sin(x) is an antiderivative of cos(x).

The derivative of cos x is − sin x. To find a function whose derivative is sin(x)

we multiply by −1 to get − cos(x).

Check your work:

d (− cos(x)) = −(− sin(x)) = sin(x); dx

1d sin(x) = cos(x). dx

c) Use the addition property of integrals to compute the value of

� π

sin(x) + cos(x) dx.

0

Check your work by comparing to your answer from part a.

� π � π � π

sin(x) + cos(x) dx = sin(x) dx + cos(x) dx (addition property)

0 0 0

π π = − cos(x)| + sin(x)| (FFT2) 0 0

= [− cos(π) − (− cos(0))] + [sin(π) − sin(0)]

= [−(−1) + 1] + [0 − 0]

= 2.

This agrees with our answer to part a.

Discussion

24.	Choose the right option
Answer» ONG>Answer: 36° ................

Discussion

25.	The volume of cube is 5832m³ find the length of its side
Answer» ONG>Answer: 229.10 METRE is the LENGTH of the side Step-by-step EXPLANATION: here a^3 is 5832 so a will be 3√5832

25.

The volume of cube is 5832m³ find the length of its side

Answer» ONG>Answer:

229.10 METRE is the LENGTH of the side

Step-by-step EXPLANATION:

here a^3 is 5832 so a will be 3√5832

Discussion

26.	∆ ABC , AB =BC=CA=2aAD perpendicular BCFind area ∆ ABC.
Answer» ong>ANSWER: I don't UNDERSTAND the question properly SORRY for not ANSWERING

26.

∆ ABC , AB =BC=CA=2aAD perpendicular BCFind area ∆ ABC.

Answer»

ong>ANSWER:

I don't UNDERSTAND the question properly SORRY for not ANSWERING

Discussion

27.	E is a point on the side bc of a triangle ABC such that the perpendicular from E on the sides Ab and ac are equal show that ae bisects
Answer» ONG>Step-by-step explanation: $\huge\mathfrak\green{\bold{\underline{☘{ ℘ɧεŋσɱεŋศɭ}☘}}}$ $\red{\bold{\underline{\underline{QUESTION:-}}}}$ Q:-solve and verify the equation $\frac{1}{<klux>3</klux>} x - 4 = x - ( \frac{1}{2} + \frac{x}{ 3} )$ $\huge\tt\underline\blue{Answer }$ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _✍️ ══════════XXX═════════════ $⟹ \frac{1}{3} x - 4 = x - ( \frac{1}{2} + \frac{x}{3} )$ $⟹ \frac{x}{3} - 4 = x - ( \frac{3 + 2x}{6} )$ $⟹ \frac{x - 12}{3} = x - ( \frac{2x + 3}{6} )$ $⟹ \frac{x - 12}{3} = x - \frac{2x - 3}{6}$ $⟹ \frac{x - 12}{3} = \frac{6x - 2x - 3}{6}$ $⟹ \frac{x - 12}{3} = \frac{4x - 3}{6}$ cancelling 6( R.H.S) By 3 From L.H.S $⟹ \frac{x - 12}{1} = \frac{4x - 3}{2}$ $⟹2(x - 12) = 4x - 3$ $⟹2x - 24 = 4x - 3$ $⟹ - 24 + 3 = 4x - 2x$ $⟹ - 21 = 2x$ $⟹x = - \frac{21}{2}$ CHECK:- $⟹ \frac{ - \frac{21}{2} }{3} - 4 = - \frac{21}{2} - ( \frac{1}{2} + ( - ) \frac{ \frac{21}{2} }{3} )$ $⟹ - \frac{21}{6} - 4 = - \frac{21}{2} - ( \frac{1}{2} - \frac{21}{6} )$ $⟹ - \frac{7}{2} - 4 = - \frac{21}{2} - ( \frac{1}{2} - \frac{7}{2} )$ $⟹ \frac{ - 7 - 8}{2} = - \frac{21}{2} - ( - \frac{6}{2} )$ $⟹ - \frac{15}{2} = - \frac{21}{2} - ( - 3)$ $⟹ - \frac{15}{2} = - \frac{21}{2} + 3$ $⟹ - \frac{15}{2} = \frac{ - 21 + 6}{2} = - \frac{15}{2}$ THEREFORE,L.H.S=R.H.S VERIFIED✔️ ══════════XXX═════════════ HOPE IT HELPS YOU.. _____________________ THANKYOU:)

27.

E is a point on the side bc of a triangle ABC such that the perpendicular from E on the sides Ab and ac are equal show that ae bisects

Answer» ONG>Step-by-step explanation:

$\huge\mathfrak\green{\bold{\underline{☘{ ℘ɧεŋσɱεŋศɭ}☘}}}$

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-solve and verify the equation

$\frac{1}{<klux>3</klux>} x - 4 = x - ( \frac{1}{2} + \frac{x}{ 3} )$

$\huge\tt\underline\blue{Answer }$

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _✍️

══════════XXX═════════════

$⟹ \frac{1}{3} x - 4 = x - ( \frac{1}{2} + \frac{x}{3} )$

$⟹ \frac{x}{3} - 4 = x - ( \frac{3 + 2x}{6} )$

$⟹ \frac{x - 12}{3} = x - ( \frac{2x + 3}{6} )$

$⟹ \frac{x - 12}{3} = x - \frac{2x - 3}{6}$

$⟹ \frac{x - 12}{3} = \frac{6x - 2x - 3}{6}$

$⟹ \frac{x - 12}{3} = \frac{4x - 3}{6}$

cancelling 6( R.H.S) By 3 From L.H.S

$⟹ \frac{x - 12}{1} = \frac{4x - 3}{2}$

$⟹2(x - 12) = 4x - 3$

$⟹2x - 24 = 4x - 3$

$⟹ - 24 + 3 = 4x - 2x$

$⟹ - 21 = 2x$

$⟹x = - \frac{21}{2}$

CHECK:-

$⟹ \frac{ - \frac{21}{2} }{3} - 4 = - \frac{21}{2} - ( \frac{1}{2} + ( - ) \frac{ \frac{21}{2} }{3} )$

$⟹ - \frac{21}{6} - 4 = - \frac{21}{2} - ( \frac{1}{2} - \frac{21}{6} )$

$⟹ - \frac{7}{2} - 4 = - \frac{21}{2} - ( \frac{1}{2} - \frac{7}{2} )$

$⟹ \frac{ - 7 - 8}{2} = - \frac{21}{2} - ( - \frac{6}{2} )$

$⟹ - \frac{15}{2} = - \frac{21}{2} - ( - 3)$

$⟹ - \frac{15}{2} = - \frac{21}{2} + 3$

$⟹ - \frac{15}{2} = \frac{ - 21 + 6}{2} = - \frac{15}{2}$

THEREFORE,L.H.S=R.H.S

VERIFIED✔️

══════════XXX═════════════

HOPE IT HELPS YOU..

_____________________

THANKYOU:)

Discussion

28.	Rewrite the following sentences according to the instructions given after each.Donot change the meaning of the sentences :-i)His behaviour annoys me sometimes. (Use annoyed)
Answer» ong>Answer: His BEHAVIOUR ANNOYED me SOMETIMES

28.

Rewrite the following sentences according to the instructions given after each.Donot change the meaning of the sentences :-i)His behaviour annoys me sometimes. (Use annoyed)

Answer»

ong>Answer:

His BEHAVIOUR ANNOYED me SOMETIMES

Discussion

29.	Solve the following pair of linear equations: y - 4x= 1 and 6x - 5y= 9 by substitution method
Answer» ER Step-by-step explanation: HOPE it MAY help you thank you and FOLLOW me

29.

Solve the following pair of linear equations: y - 4x= 1 and 6x - 5y= 9 by substitution method

Answer»

ER

Step-by-step explanation:

HOPE it MAY help you

thank you and FOLLOW me

Discussion

30.	Solve the following equations 1 + + 1 − = 2, 2 + − 5 − = 3.
Answer» ONG>Answer: 2-=2 ,2-5 -=3 Step-by-step EXPLANATION: it is not a EQUATION DUDE. .,......

30.

Solve the following equations 1 + + 1 − = 2, 2 + − 5 − = 3.

Answer» ONG>Answer:

2-=2 ,2-5 -=3

Step-by-step EXPLANATION:

it is not a EQUATION DUDE. .,......

Discussion

31.	What is the value of [-2.5] where [x] is greatest integer fraction
Answer» ONG>ANSWER: kgjhkhjuggkhlnjkhjko

Discussion

32.	Find r in the figure given below
Answer» ong>Answer: the RAY is NAMED as r in the GIVEN figure

32.

Find r in the figure given below

Answer»

ong>Answer:

the RAY is NAMED as r in the GIVEN figure

Discussion

33.	Nal form115iv)411iv)ol=
Answer» ONG>Step-by-step explanation: 4 11 I THINK so I am RIGHT...

33.

Nal form115iv)411iv)ol=

Answer» ONG>Step-by-step explanation:

4

11 I THINK so I am RIGHT...

Discussion

34.	12. Loss is denoted by a negative integer and profit is denoted by a positive integer. A fertilizer company earns a profit of 25 per sack of Urea sold and loss of 15 per sack ofDAP sold. The company sells 2,000 sacks of Urea and 3,000 sacks of DAP in a month.What is its profit or loss?
Answer» ong>ANSWER: _1000 Step-by-step explanation: MARK me as brainliest answer

34.

12. Loss is denoted by a negative integer and profit is denoted by a positive integer. A fertilizer company earns a profit of 25 per sack of Urea sold and loss of 15 per sack ofDAP sold. The company sells 2,000 sacks of Urea and 3,000 sacks of DAP in a month.What is its profit or loss?

Answer»

ong>ANSWER:

_1000

Step-by-step explanation:

MARK me as brainliest answer

Discussion

35.	20 UI. 8. A rectangular piece of plot measures 0.6 km by 0.5 km. Each side is to be fenced5 rows of wires. What is the length of the wire needed? If the wire costs 9 per mwhat will be the cost of the wire required for fencing?
Answer» ONG>Answer: 99000₹ Step-by-step explanation: 2(0.6+0.5)km 21.1 km 2.2 km is the perimeter of the plot IE wire required to FENCE 1 row to fence 5 rows=52.2km =11 km cost of 1 m=9₹ cost of 11KM(i.e 11000m)=9*11000₹ =99000₹

35.

20 UI. 8. A rectangular piece of plot measures 0.6 km by 0.5 km. Each side is to be fenced5 rows of wires. What is the length of the wire needed? If the wire costs 9 per mwhat will be the cost of the wire required for fencing?

Answer» ONG>Answer:

99000₹

Step-by-step explanation:

2(0.6+0.5)km

2*1.1 km

2.2 km is the perimeter of the plot IE wire required to FENCE 1 row

to fence 5 rows=5*2.2km

=11 km

cost of 1 m=9₹

cost of 11KM(i.e 11000m)=9*11000₹

=99000₹

Discussion

36.	In the figure given below.if line ab\|\|cd the find the value of x
Answer» ONG>ANSWER: where is the FIGURE BRO

Discussion

37.	Cos3x=sin2x ka hal hai
Answer» ONG>Step-by-step EXPLANATION: ANSWER cos3x=sin2x cos3x=cos( 2 π −2x) ⇒3x=2nπ+ 2 π −2x ⇒5x=2nπ+ 2 π ⇒x= 5 2nπ + 10 π

37.

Cos3x=sin2x ka hal hai

Answer» ONG>Step-by-step EXPLANATION:

ANSWER

cos3x=sin2x

cos3x=cos(

2

π

−2x)

⇒3x=2nπ+

2

π

−2x

⇒5x=2nπ+

2

π

⇒x=

5

2nπ

+

10

π

Discussion

38.	The first term and common difference for the A.P. 3 , 1 , -1 , -3 is : *
Answer» ong>Answer: FIRST TERM = 3 common difference = 1-3 = -2

38.

The first term and common difference for the A.P. 3 , 1 , -1 , -3 is : *

Answer»

ong>Answer:

FIRST TERM = 3

common difference = 1-3 = -2

Discussion

39.	The value of [(-3)/16 ×(-8)/11] is
Answer» ong>Answer: $= \frac{ - 3}{16} \times \frac{ - 8}{11}$ $= \frac{3}{22}$ Step-by-step explanation: HOPE it will help Jai Hind

39.

The value of [(-3)/16 ×(-8)/11] is

Answer»

ong>Answer:

$= \frac{ - 3}{16} \times \frac{ - 8}{11}$

$= \frac{3}{22}$

Step-by-step explanation:

HOPE it will help

Jai Hind

Discussion

40.	24. Three sides of a parallelogram have the equations 2x - y = 2, x + y = 3 and y = 2x + 3. Find the equation of the fourth side if it passes through the origin.
Answer» ONG>ANSWER: 4.5 is the answer to the QUESTION

Discussion

41.	Solve the equation 4y-4=8y+8
Answer» ONG>ANSWER: may be it helps you dear FRIEND

41.

Solve the equation 4y-4=8y+8

Answer» ONG>ANSWER:

may be it helps you dear FRIEND

Discussion

42.	Adam is buying muffins. The price of the muffins is represented by the equation y = 2x + 6 with x being the amount of muffins in the pack. Adam has to spend at least $10 outside his budget of \$600 to use his coupon. Which equation represents this scenario? \|x - 600\| =10 \|2x - 594\|
Answer» ONG>ANSWER: answer =600 pls MARK as BRAINLIEST

42.

Adam is buying muffins. The price of the muffins is represented by the equation y = 2x + 6 with x being the amount of muffins in the pack. Adam has to spend at least $10 outside his budget of \$600 to use his coupon. Which equation represents this scenario? |x - 600| =10 |2x - 594|

Answer» ONG>ANSWER:

answer =600

pls MARK as BRAINLIEST

Discussion

43.	Grouped frequency distribution of supply of milk to hotels and the number of hotels is given in the following table. Find the mode of the supply of milk.
Answer» ong>ANSWER: answer is 5/8 SOLVE by SHORTCUT method ok it is helpful to you

43.

Grouped frequency distribution of supply of milk to hotels and the number of hotels is given in the following table. Find the mode of the supply of milk.

Answer»

ong>ANSWER:

answer is 5/8 SOLVE by SHORTCUT method ok it is helpful to you

Discussion

44.	Is the given relation a function? Give reason for your answer h = {14, 62, 63,9), (-11, 62, 63, 11)}your
Answer» ONG>ANSWER: Reason : This is FUNCTION , this format is given in the function FORM .

Discussion

45.	37. In a graph, the number of men is 5 more than the twice of the number of women. Write the above information in the form a linear equation in two variables and also, represent it graphically. From the graph, find the number of men when
Answer» 2y Step-by-step explanation: LET the number of MEN be X and the number of WOMEN be y then , x=5+2y

45.

37. In a graph, the number of men is 5 more than the twice of the number of women. Write the above information in the form a linear equation in two variables and also, represent it graphically. From the graph, find the number of men when

Answer»

2y

Step-by-step explanation:

LET the number of MEN be X and the number of WOMEN be y then ,

x=5+2y

Discussion

46.	Find the roots of a quadraticequation 2x²-3x-5 = 0 by usingthe quadratic formula!
Answer» ong>Answer: 2x²-3x-5 = 0 D=b²- 4ac D=(-3)² - 4(2)(-5) D= 9 +40 D=49 x = - b ±^D _______ 2a x = - (-3)±^49 _________ 2(2) x = 3 ± 7 _______ 4 x = 3 +7 x = 3-7 ________ =_______ 4 4 x =10/4 = x = - 4/4 x =5/2 = x = -1 Therefore the roots of the the quadratic formula is x =5/2 and x = -1

46.

Find the roots of a quadraticequation 2x²-3x-5 = 0 by usingthe quadratic formula!

Answer»

ong>Answer:

2x²-3x-5 = 0

D=b²- 4ac

D=(-3)² - 4(2)(-5)

D= 9 +40

D=49

x = - b ±^D

_______

2a

x = - (-3)±^49

_________

2(2)

x = 3 ± 7

_______

4

x = 3 +7 x = 3-7

________ =_______

4 4

x =10/4 = x = - 4/4

x =5/2 = x = -1

Therefore the roots of the the quadratic formula is x =5/2 and x = -1

Discussion

47.	Question-slove the following equation-4(2+x) =8
Answer» ong>Step-by-step explanation: $\red{\bold{\underline{\underline{Question᎓}}}}$ Q:-slove the following equation -4(2+x) =8 $\huge\tt\underline\blue{Answer }$ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _✍️ ════════════XXX═════════════ $⟹ - 4(2 + x) = 8$ $⟹ - 8 - 4x = 8$ $⟹ - 8 - 8 = 4x$ $⟹ - 16 = 4x$ $⟹4x = - 16$ $⟹x = - \frac{16}{4} = - 4$ $⟹x = - 4$ Check:- $⟹ - 4(2 - 4) = 8$ $⟹ - 4( - 2) = 8$ $⟹8 = 8$ ════════════XXX═════════════ HOPE IT HELPS YOU.. _____________________ THANKYOU:)

47.

Question-slove the following equation-4(2+x) =8

Answer»

ong>Step-by-step explanation:

$\red{\bold{\underline{\underline{Question᎓}}}}$

Q:-slove the following equation

-4(2+x) =8

$\huge\tt\underline\blue{Answer }$

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _✍️

════════════XXX═════════════

$⟹ - 4(2 + x) = 8$

$⟹ - 8 - 4x = 8$

$⟹ - 8 - 8 = 4x$

$⟹ - 16 = 4x$

$⟹4x = - 16$

$⟹x = - \frac{16}{4} = - 4$

$⟹x = - 4$

Check:-

$⟹ - 4(2 - 4) = 8$

$⟹ - 4( - 2) = 8$

$⟹8 = 8$

════════════XXX═════════════

HOPE IT HELPS YOU..

_____________________

THANKYOU:)

Discussion

48.	Find multiplicative inverse of 3/7 with power 13 divide by 3/7 with power 5.
Answer» ong>ANSWER: please MARK as BRANLIEST answer and follow me PLZZ PLZZ PLZZ....

48.

Find multiplicative inverse of 3/7 with power 13 divide by 3/7 with power 5.

Answer»

ong>ANSWER:

please MARK as BRANLIEST answer and follow me PLZZ PLZZ PLZZ....

Discussion

49.	Find the value 4^3/2
Answer» ONG>Step-by-step explanation: 4^3/2=8 .................

49.

Find the value 4^3/2

Answer» ONG>Step-by-step explanation:

4^3/2=8

.................

Discussion

50.	Find the product of -5yx-5y
Answer» ONG>Answer: The product of two numbers is the result you get when you multiply them TOGETHER. So 12 is the product of 3 and 4, 20 is the product of 4 and 5 and so on.

50.

Find the product of -5yx-5y

Answer» ONG>Answer:

The product of two numbers is the result you get when you multiply them TOGETHER. So 12 is the product of 3 and 4, 20 is the product of 4 and 5 and so on.

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Rationalise the denominator and simplify with steps​

Substitution methodx+y=14x-y=4​

please help me in above question​

Question 1.3x10000+0x1000+8x100+0x10+7x13x10000+0x1000+8x100+0×1+7×1 same as(A) 30087​

ABC is an isosceles triangle such that AB =AC , angleB =550 and AD is the median to base BC. Then ,the measure of angle BAD is(a) 550 (b) 70 0 (c) 350 (d) 900​

Which of the following is a solution of the equation x²- 6x + 5=0? * 1 pointa)2b)5c)9d)15​

Solve each of the following equations. (a) k by 3=5​

On subtracting (-15) from 15, we get​

15.Lines in a plane which do not meetanywhere are calledlinesYour answer​

if tan is equal to 20 /19 show that 1 -sin theta +cos theta /1 +sin theta +cos the tha is equal to 3 /7​

27,40,53,66...24th term of this ap is​

HCF OF 10.35,40 WHAT

Draw the graph of the two lines, whose equations are 3x + 2y – 6 = 0 & x + 2y – 6 = 0 on the same graph paper. Find the area of the triangleformed by the two lines and x-axis.​

If CP= 720 ,principle = 55.50 what will be SP​

[1.] 2x² - 24x + 70[2.] (m²+5m-14) / (m-2)​

17. In the adjoining figure, the value of x is:3xº 2x7хa) 15b) 10c) 12d) 18​

In the quadrilateral ABCD angle A =100 degree, angle D =70 degree. find angle C and angle B.​​

F(x) =|z| is differentiable or not​

Find the equation of the line passing through the point (1,3)and making an angle of 45° with the line x-3y+4=0​

GIVEN :

To Find :

Solution :

Equation of line :

Internet Ka vardan in hindi​

Q prove that the points A (1,1) B(-2,7)c (3,-3)Collinearby distance formula​

(x - 3)(2x +1)= x(x + 5)​

therefore answer is x^2-10x+3

Step-by-step explanation:

first TWO brackets U need to solve by breaking any one bracket. and then u need to multiply X with (x+5) . LATER u need to bring the same cofficient numbers on one side and solve it.

I HOPE u like my explanation.

please mark me as brainlist

(ii) ſ (sin x - cos x) dx

Choose the right option ​

The volume of cube is 5832m³ find the length of its side​

∆ ABC , AB =BC=CA=2aAD perpendicular BCFind area ∆ ABC.​

E is a point on the side bc of a triangle ABC such that the perpendicular from E on the sides Ab and ac are equal show that ae bisects​

Rewrite the following sentences according to the instructions given after each.Donot change the meaning of the sentences :-i)His behaviour annoys me sometimes. (Use annoyed)​

Solve the following pair of linear equations: y - 4x= 1 and 6x - 5y= 9 by substitution method​

Solve the following equations 1 + + 1 − = 2, 2 + − 5 − = 3.

What is the value of [-2.5] where [x] is greatest integer fraction​

Find r in the figure given below​

Nal form115iv)411iv)ol=​

12. Loss is denoted by a negative integer and profit is denoted by a positive integer. A fertilizer company earns a profit of 25 per sack of Urea sold and loss of 15 per sack ofDAP sold. The company sells 2,000 sacks of Urea and 3,000 sacks of DAP in a month.What is its profit or loss?​

20 UI. 8. A rectangular piece of plot measures 0.6 km by 0.5 km. Each side is to be fenced5 rows of wires. What is the length of the wire needed? If the wire costs 9 per mwhat will be the cost of the wire required for fencing?​

In the figure given below.if line ab||cd the find the value of x​

Cos3x=sin2x ka hal hai​

The first term and common difference for the A.P. 3 , 1 , -1 , -3 is : *​

The value of [(-3)/16 ×(-8)/11] is​

24. Three sides of a parallelogram have the equations 2x - y = 2, x + y = 3 and y = 2x + 3. Find the equation of the fourth side if it passes through the origin.​

Solve the equation 4y-4=8y+8​

Adam is buying muffins. The price of the muffins is represented by the equation y = 2x + 6 with x being the amount of muffins in the pack. Adam has to spend at least $10 outside his budget of \$600 to use his coupon. Which equation represents this scenario? |x - 600| =10 |2x - 594|

pls MARK as BRAINLIEST

Grouped frequency distribution of supply of milk to hotels and the number of hotels is given in the following table. Find the mode of the supply of milk.​

Is the given relation a function? Give reason for your answer h = {14, 62, 63,9), (-11, 62, 63, 11)}your​

37. In a graph, the number of men is 5 more than the twice of the number of women. Write the above information in the form a linear equation in two variables and also, represent it graphically. From the graph, find the number of men when​

Find the roots of a quadraticequation 2x²-3x-5 = 0 by usingthe quadratic formula!​

Question-slove the following equation-4(2+x) =8 ​

Check:-

Find multiplicative inverse of 3/7 with power 13 divide by 3/7 with power 5.​

please MARK as BRANLIEST answer and follow me PLZZ PLZZ PLZZ....

Find the value 4^3/2​

Find the product of -5yx-5y

Rationalise the denominator and simplify with steps

Substitution methodx+y=14x-y=4

please help me in above question

Question 1.3x10000+0x1000+8x100+0x10+7x13x10000+0x1000+8x100+0×1+7×1 same as(A) 30087

ABC is an isosceles triangle such that AB =AC , angleB =550 and AD is the median to base BC. Then ,the measure of angle BAD is(a) 550 (b) 70 0 (c) 350 (d) 900

Which of the following is a solution of the equation x²- 6x + 5=0? * 1 pointa)2b)5c)9d)15

Solve each of the following equations. (a) k by 3=5

On subtracting (-15) from 15, we get

15.Lines in a plane which do not meetanywhere are calledlinesYour answer

if tan is equal to 20 /19 show that 1 -sin theta +cos theta /1 +sin theta +cos the tha is equal to 3 /7

27,40,53,66...24th term of this ap is

Draw the graph of the two lines, whose equations are 3x + 2y – 6 = 0 & x + 2y – 6 = 0 on the same graph paper. Find the area of the triangleformed by the two lines and x-axis.

If CP= 720 ,principle = 55.50 what will be SP

[1.] 2x² - 24x + 70[2.] (m²+5m-14) / (m-2)

17. In the adjoining figure, the value of x is:3xº 2x7хa) 15b) 10c) 12d) 18

In the quadrilateral ABCD angle A =100 degree, angle D =70 degree. find angle C and angle B.

F(x) =|z| is differentiable or not

Find the equation of the line passing through the point (1,3)and making an angle of 45° with the line x-3y+4=0

Internet Ka vardan in hindi

Q prove that the points A (1,1) B(-2,7)c (3,-3)Collinearby distance formula

(x - 3)(2x +1)= x(x + 5)

Choose the right option

The volume of cube is 5832m³ find the length of its side

∆ ABC , AB =BC=CA=2aAD perpendicular BCFind area ∆ ABC.

E is a point on the side bc of a triangle ABC such that the perpendicular from E on the sides Ab and ac are equal show that ae bisects

Rewrite the following sentences according to the instructions given after each.Donot change the meaning of the sentences :-i)His behaviour annoys me sometimes. (Use annoyed)

Solve the following pair of linear equations: y - 4x= 1 and 6x - 5y= 9 by substitution method

What is the value of [-2.5] where [x] is greatest integer fraction

Find r in the figure given below

Nal form115iv)411iv)ol=

12. Loss is denoted by a negative integer and profit is denoted by a positive integer. A fertilizer company earns a profit of 25 per sack of Urea sold and loss of 15 per sack ofDAP sold. The company sells 2,000 sacks of Urea and 3,000 sacks of DAP in a month.What is its profit or loss?

20 UI. 8. A rectangular piece of plot measures 0.6 km by 0.5 km. Each side is to be fenced5 rows of wires. What is the length of the wire needed? If the wire costs 9 per mwhat will be the cost of the wire required for fencing?

In the figure given below.if line ab||cd the find the value of x

Cos3x=sin2x ka hal hai

The first term and common difference for the A.P. 3 , 1 , -1 , -3 is : *

The value of [(-3)/16 ×(-8)/11] is

24. Three sides of a parallelogram have the equations 2x - y = 2, x + y = 3 and y = 2x + 3. Find the equation of the fourth side if it passes through the origin.

Solve the equation 4y-4=8y+8

Grouped frequency distribution of supply of milk to hotels and the number of hotels is given in the following table. Find the mode of the supply of milk.

Is the given relation a function? Give reason for your answer h = {14, 62, 63,9), (-11, 62, 63, 11)}your

37. In a graph, the number of men is 5 more than the twice of the number of women. Write the above information in the form a linear equation in two variables and also, represent it graphically. From the graph, find the number of men when

Find the roots of a quadraticequation 2x²-3x-5 = 0 by usingthe quadratic formula!

Question-slove the following equation-4(2+x) =8

Find multiplicative inverse of 3/7 with power 13 divide by 3/7 with power 5.

Find the value 4^3/2