Explore topic-wise InterviewSolutions in Current Affairs.

HELLO MATE

HERE IS YOUR ANSWER

-3 + 2 + 5 - 9

7 - 12

-5.

HOPE IT HELPS.

PLEASE MARK AS BRAINLIEST AND FOLLOW ME .....

ANSWER:

NORTH WEST is STARTING POINT ❤

Question :-

Factorise the following equations ;

• 1. 9x² + 12xy + 4y²

• 2. 16x² + 8xy + y²

• 3. 16x² - 8xy + y²

Answer :-

Given :-

Equations ;

• 1. 9x² + 12xy + 4y²

• 2. 16x² + 8xy + y²

• 3. 16x² - 8xy + y²

Required to find :-

• Factorise the given equations ?

Identities used :-

• ( a + b )² = a² + 2ab + b²

• ( a - b )² = a² - 2ab + b²

Solution :-

1.

9x² + 12xy + 4y²

( 3x)² + 2 ( 3x )( 2y ) + ( 2y )²

This is in the form of ;

• ( a + b )² = a² + 2ab + b²

Here,

a = 3x

b = 2y

This implies ;

=> ( 3x + 2y)²

2.

16x² + 8xy + y²

( 4x )² + 2 ( 4x )( y ) + ( y )²

This is in the form of ;

• ( a + b )² = a² + 2ab + b²

Here,

a = 4x

b = y

This implies ;

=> ( 4x + y )²

3.

16x² - 8xy + y²

( 4x )² - 2 ( 4x )( y ) + ( y )²

This is in the form of ;

• ( a - b )² = a² - 2ab + b²

Here,

a = 4x

b = y

This implies ;

=> ( 4x - y )²

Therefore ;

The given quadratic equations in 2 variables had been factorised as follows ;

• 1. 9x² + 12xy + 4y² = ( 3x + 2y )²

• 2. 16x² + 8xy + y² = ( 4x + y )²

• 3. 16x² - 8xy + y² = ( 4x - y )²

Additional Information :-

How to verify whether the factorisation is correct or wrong ?

Answer :-

To verify whether the factorisation is correct or wrong for that we should multiply the factors which we got by factorisation .

So,

Let me explain you with an example .

Example :-

From the above it is clear that ;

9x² + 12xy + 4y² = ( 3x + 2y )²

So

Multiplying ( 3x + 2y ) twice will gives us the equation BACK .

Let's prove it ;

( 3x + 2y ) ( 3x + 2y ) = 9x² + 12xy + 4y²

3x ( 3x + 2y ) + 2y ( 3x + 2y ) = 9x² + 12xy + 4y²

9x² + 6xy + 6xy + 4y² = 9x² + 12xy + 4y²

9x² + 12xy + 4y² = 9x² + 12xy + 4y²

LHS = RHS

Hence verified ✔️

This trick is very useful when DEALING with COMPLICATED factorisations .

<P>p(X) = 3x² - 5x + 5

where, a = 3

b = -5

C = 5

• - COFFICIENT of X / cofficient of x²
• 

ANSWER:

Step-by-step EXPLANATION:

HOPE it HELPS you..........

ANSWER:

here is your answer

more DIGIT

ANSWER:

bfirnco firb7enc8 r84vrir.dict8yg G8 g7637⁸hyxp.

ANSWER:

the first FOUR TERMS of the AP whose a=3 and d=2 is

1st TERM= 3

2nd term=3+2=5

3rd term=5+2=7

4th term=7+2=9

Step-by-step explanation:

ANSWER:

FACTORISE it.

Step-by-step EXPLANATION:

HOPE this HELPS you..

Step-by-step EXPLANATION:

it is not an AP because COMMON DIFFERENCE is not same for all TERMS

Answer:

Angles OPPOSITE to Equal SIDES of an Isosceles TRIANGLE are Equal. Here we will prove that in an isosceles triangle, the angles opposite to the equal sides are equal. Given: In the isosceles ∆XYZ, XY = XZ.

ANSWER:Given – y = 2x − 4

Find the Y INTERCEPT -

At x = 0

y = 2(0) − 4

y = −4

(0,−4)

Find X intercept -

At y = 0

2x – 4 = 0

2x – 4 + 4 = 0 + 4

2x = 4

(2x/2)= 4/2

x = 2

(2,0)

So , this graph will intersect X-axis at (2,0)and will intersect Y-axis at (0,-4)

Answer:

7,780,124,125

Step-by-step EXPLANATION:

MARK me as BRAINLIST and FOLLOW me PLEASE

Step-by-step explanation:

distributive property=

√4=2

(2+√3)2

= 4+2√3...

HOPE THIS HELPS U

Answer :

p = 4 , q = 6

Solution :

Here ,

The given equations are ;

3p - 2q = 0 -----------(1)

2p - 3q = -10 ------------(2)

Now ,

Multiplying EQ-(1) by 3 , we get ;

=> 3×(3p - 2q) = 3×0

=> 9p - 6q = 0 -----------(3)

Now ,

Multiplying eq-(2) by 2 , we get ;

=> 2×(2p - 3q) = 2×(-10)

=> 4p - 6q = -20 ----------(4)

Now ,

Subtracting eq-(4) from eq-(3) , we get ;

=> (9p - 6q) - (4p -6q) = 0 - (-20)

=> 9p - 6q - 4p + 6q = 20

=> 5p = 20

=> p = 20/5

=> p = 4

Now ,

Putting p = 4 in eq-(1) , we get ;

=> 3p - 2q = 0

=> 3×4 - 2q = 0

=> 12 - 2q = 0

=> 2q = 12

=> q = 12/2

=> q = 6

HENCE ,

p = 4 , q = 6

ANSWER:

WGAT is MONTHLY EXPENDITURE. .....

Answer :

a² + b² = 27

Note:

★ The possible values of the variable which satisfy the equation are called its roots or solutions .

★ A quadratic equation can have atmost two roots .

★ The general form of a quadratic equation is GIVEN as ; Ax² + Bx + C = 0

★ If a and B are the roots of the quadratic equation Ax² + Bx + C = 0 , then ;

• Sum of roots , (a + b) = -B/A

• Product of roots , (AB) = C/A

★ If a and b are the roots of a quadratic equation , then that quadratic equation is given as : k•[ x² - (a + b)x + ab ] = 0 , k ≠ 0.

★ The discriminant , D of the quadratic equation Ax² + Bx + C = 0 is given by ;

D = B² - 4AC

★ If D = 0 , then the roots are real and equal .

★ If D > 0 , then the roots are real and distinct .

★ If D < 0 , then the roots are unreal (imaginary) .

Solution :

Here ,

The given quadratic equation is ;

x² + 5x - 1 = 0

Now ,

Comparing the given quadratic equation with the general quadratic equation Ax² + Bx + C = 0 ,

We have ;

A = 1

B = 5

C = -1

Also ,

It is given that , a and b are the roots of the given quadratic equation .

This ,

=> Sum of roots = -B/A

=> a + b = -5/1

=> a + b = -5

Also ,

=> Product of zeros = C/A

=> ab = -1/1

=> ab = -1

Now ,

=> (a + b)² = a² + b² + 2AB

=> (-5)² = a² + b² + 2•(-1)

=> 25 = a² + b² - 2

=> a² + b² = 25 + 2

=> a² + b² = 27

Hence ,

a² + b² = 27

ANSWER:

9751

Step-by-step explanation:

answer is above plzzz follow me GUYS and support me plzzz MARK me as BRAINLIST plzzzz

ANSWER:

GIVEN above is the answer.Hope it HELPS you.

Step-by-step EXPLANATION:

(8x-5y)×5Z

=8x × 5z - 5y×5z

=40xz-25yz

ANSWER:

SQUARE ROOT of X is QUESTIONABLE of the root of 9=7a

ANSWER:

No

Because its in the DENOMINATOR

Given :- In a ROW of friends, Tiya occupies fifteenth place from the right END and Tina occupies twelfth place from the left end, respectively. Treepti is ninth on the left of Tiya. If Treepti and Tiya interchange their places, then Treepti occupies twentieth place from the left end. How many friends were there between Treepti and Tina originally ?

Answer :-

from image we can see that,

→ Tiya = 15th from right end .

→ Treepti = 9th to the left of tiya = 15 + 9 = 24th from the right end .

and,

→ Tina = 12th from left end .

we have,

• Treepti = 24 th from right end .
• Tina = 12th from left end .

so,

→ Number of friends between Treepti and Tina = 24 - 12 - 1 = 24 - 13 = 11 friends (Ans.)

Learn more :-

Anu, Binu, Chinu, Dinu, Enu, Felu & Ganu are sitting facing towards east. Chinu is just right of Dinu. Binu is at one of...

brainly.in/question/27749189

Seven people from A to G sit on a HORIZONTAL bench in a specific order all of

them are facing north C is an immediate ne...

brainly.in/question/25457891

Step-by-step explanation:

This is your answer.......

you can SEE in the PHOTO.....

I HOPE you understand....

If you have any PROBLEM......

you can ASK me...

Answer:

55646555

zodyxhof

Step-by-step explanation:

1. 99sr8ryx
2. ougxu9gx
3. ugx9oxgu
4. oufxoxfu
5. cucggcivyicgioyvitfvyocriyoftfitodxit
6. cigvhogoccyvotfogxoycogclgckg
7. cuigcohfoycoyfiyfitf8rsi
8. gcvohcogcocoycoocycoyoogc
9. iccoyyocogcvyoog

ANSWER:

A RECTANGULAR ROOM of dimensions 8m,6m,3m is to be painted.if it COSTS rupees 60per square metre. Find the COST of painting the walls.

2

Answer:

Please write in English

Step-by-step EXPLANATION:

FOLLOW me and mark me as Brainlist (=^･ｪ･^=)

ANSWER:

-8/3 is REPRESENTED

THANK U

ANSWER:

don't KNOW SORRY sorry sorry sorry sorry sorry sorry sorry sorry

Answer :

x = 21/5 , y = 19/2

Solution :

Here ,

The given equations are ;

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

3y - 2x = 3 ------------(2)

EQ-(2) can be rewritten as ;

-2x + 3y = 3 ---------(3)

Now ,

Multiplying eq-(1) by 3 , we get ;

=> 3•(3x - 2y) = 3•5

=> 9x - 6y = 15 ------------(4)

Also ,

Multiplying eq-(3) by 2 , we get ;

=> 2•(-2x + 3y) = 2•3

=> -4x + 6y = 6 ----------(5)

Now ,

ADDING eq-(4) and (5) , we get ;

=> 9x - 6y - 4x + 6y = 15 + 6

=> 5x = 21

=> x = 21/5

Now ,

Putting x = 21/5 in eq-(1) , we get ;

=> 3x - 2y = 5

=> 3•(21/5) - 2y = 5

=> 63/5 - 2y = 5

=> 2y = 63/5 - 5

=> 2y = (63 - 25)/5

=> 2y = 38/5

=> y = 38/(5•2)

=> y = 19/2

Hence ,

x = 21/5 , y = 19/2

ANSWER:

The answer is EXPLAINED in the IMAGE.

QUESTION 12 :

Solution :-

• Given : x = 3 - 2√2

• To find : i. 1/x

ii. x + 1/x

III. x² + 1/x²

i. We have x = 3 - 2√2

=> 1/x = 1/(3 - 2√2)

=> 1/x = (3 + 2√2) / (3 - 2√2)•(3 + 2√2)

=> 1/x = (3 + 2√2) / [ 3² - (2√2)² ]

=> 1/x = (3 + 2√2) / (9 - 8)

=> 1/x = (3 + 2√2) / 1

=> 1/x = 3 + 2√2

ii. We have x = 3 - 2√2 and 1/x = 3 + 2√2

=> x + 1/x = 3 - 2√2 + 3 + 2√2

=> x + 1/x = 6

iii. We have x + 1/x = 6

=> (x + 1/x)² = 6² {on squaring both sides}

=> x² + 2•x•(1/x) + (1/x)² = 36

=> x² + 2 + 1/x² = 36

=> x² + 1/x² = 36 - 2

=> x² + 1/x² = 34

××××××××××××××××××××××××××××××××××××

Question 13 :

Solution :-

We NEED to find the value of ;

2/(√5 + √3) + 1/(√3 + √2) - 3/(√5 + √2)

Now ,

• 2/(√5 + √3)

= 2(√5 - √3) / (√5 + √3)•(√5 - √3)

= 2(√5 - √3) / [ (√5)² - (√3)² ]

= 2(√5 - √3) / (5 - 3)

= 2(√5 - √3) / 2

= √5 - √3

• 1/(√3 + √2)

= (√3 - √2) / (√3 + √2)•(√3 - √2)

= (√3 - √2) / [ (√3)² - (√2)² ]

= (√3 - √2) / (3 - 2)

= (√3 - √2) / 1

= √3 - √2

• 3/(√5 + √2)

= 3(√5 - √2) / (√5 + √2)•(√5 - √2)

= 3(√5 - √2) / [ (√5)² - (√2)² ]

= 3(√5 - √2) / (5 - 2)

= 3(√5 - √2) / 3

= √5 - √2

Now ,

2/(√5 + √3) + 1/(√3 + √2) - 3/(√5 + √2)

= (√5 - √3) + (√3 - √2) - (√5 - √2)

= √5 - √3 + √3 - √2 - √5 + √2

= 0

Hence ,

2/(√5 +√3) + 1/(√3 +√2) - 3/(√5 +√2) = 0

The ANSWER to this question is : Commutative

ANSWER

6.582

EXPLANATION

8.362 - 7.942

= 0.42

Second step

5.675+1.327

=7.002

Last step

7.002-0.42

= 6.582

please MARK it as BRAINLIEST answer

Answer:

MAXIMUM value of sin Ф = 1 = sin 90°

HOPE IT HELPS,

PLEASE THANK , FOLLOW AND MARK AS BRAINLIEST.

Step-by-step EXPLANATION:

d =b²-4ac

= (-4)²-4(1)(2)

16- 8

8 =d

HOPE THAT IT WAS HELPFUL FOR YOU

ANSWER:

PLZ ask questions in English language not in UR regional language

Step-by-step explanation:

plzzz follow me guys and SUPPORT me plzzz mark me as BRAINLIST

Answer:

The required two-digit NUMBER is 96.

Step-by-step-explanation:

Let the digit at the TENS place be x.

And the digit at the units place be y.

∴ The original number = 10X + y

And the number obtained by interchanging the digits = 10y + x

From the first condition,

x + y = 15

⇒ x = 15 - y

⇒ x = - y + 15 - - ( 1 )

From the second condition,

10x + y - 27 = 10y + x

⇒ 10x + y - 10y - x = 27

⇒ 9x - 9y = 27

⇒ x - y = 3 - - [ Dividing both sides by 9 ]

⇒ ( - y + 15 ) - y = 3 - - - [ From ( 1 ) ]

⇒ - y + 15 - y = 3

⇒ - y - y = 3 - 15

⇒ - 2y = - 12

⇒ 2y = 12

⇒ y = 12 ÷ 2

⇒ y = 6

By substituting y = 6 in equation ( 1 ), we get,

x = - y + 15 - - ( 1 )

⇒ x = - 6 + 15

⇒ x = 9

Now,

The original number = 10x + y

⇒ The original number = 10 × 9 + 6

⇒ The original number = 90 + 6

∴ The original number = 96

The required two-digit number is 96.

Answer:

X = force

y = distance

x = y. is the equation in TWO variable

work done = F × d

so , 1) 2×2 = 4 units

2) 0×0 = 0 units.

Answer:

PLEASE Answer, Express The Following Numbers As The Sum Of Consecutive ODD Numbers. 5³, 6³, 9³ Give Only CORRECT Answer Don't TAKE FREE Points ..

How many term are these in the AP 7,13,19,...........205?

Given sequence is 7,13,19,...,205

Given sequence is 7,13,19,...,205The first term a=7 and

The COMMON DIFFERENCE d=13−7=6

The last term is 205

Let the last term be the nth term.

We KNOW that the nth term of the arithmetic progression is given by -

The number of terms in the given sequence is 34

ANSWER:

because A=c that's why D will be not with A

Step-by-step EXPLANATION:

the anwer is 6

If I take LCM 2ROOT 2 and 3ROOT 3

Answer:

QUES no 16) - - - - > 11/3 = a

Step-by-step EXPLANATION:

a-2 = 16/3 - a (as the common difference d is EQUAL)

2A- 2 = 16/3

a-1 = 8/3

a= 8/3 + 1

a= 11/3 ANS

if ONE ROOT =x

quadeic = -1+root3

then it will be 7

Answer:

1080

Step-by-step EXPLANATION:

PLEASE MARK me as BRAINLEST and follow me then i will follow u

We know that D = b^2 - 4ac

16 - 4( 5 )

16 - 20

= -4

D < 0

It MEANS that the roots are IMAGINARY , it doesn't have any real roots

Step-by-step EXPLANATION:

(1) x=0.2454546......(a)

10x=2.454545......(B)

(b)-(a)

9x=2.2

x=2.2/9=p/q

hope it HELPS you