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Solution :-

GIVEN that, the vertices of the triangle are :-

• A = (1, 3)
• B = (2, -1)
• C = (0, -3)

Let us assume that,

• AD ⟂ BC .
• CF ⟂ AB .
• BE ⟂ AC .

so,

→ Slope of AB = (y2 - y1) / (X2 - x1) = (-1 - 3) / (2 - 1) = (-4)/1 = (-4)

then,

→ Slope of CF = Perpendicular slope of AB

→ Slope of CF = (-1) / Slope of AB

→ Slope of CF = (-1) / (-4)

→ Slope of CF = (1/4) .

now, Equation of CF :-

→ y - y1 = m(x - x1)

→ y + 3 = (1/4)(x - 0)

→ 4y + 12 = x

→ x - 4y = 12 ----------------- EQN.(1)

Similarly,

→ Slope of BC = (y2 - y1) / (x2 - x1) = (-3 + 1) / (0 - 2) = (-2)/(-2) = 1

then,

→ Slope of AD = Perpendicular slope of BC

→ Slope of AD = (-1) / Slope of BC

→ Slope of AD = (-1) / 1

→ Slope of AD = (-1) .

now, Equation of AD :-

→ y - y1 = m(x - x1)

→ y - 3 = (-1)(x - 1)

→ y - 3 = -x + 1

→ x + y = 4 ----------------- Eqn.(2)

Subtracting Eqn.(2) from Eqn.(1) we GET,

→ (x - 4y) - (x + y) = 12 - 4

→ x - x - 4y - y = 8

→ (-5y) = 8

→ y = (-8/5)

putting value of y in Eqn.(2) ,

→ x - (8/5) = 4

→ x = 4 + (8/5)

→ x = (28/5)

therefore, the orthocentre of the triangle are (28/5 , -8/5) .

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Answer:

Ages be 3X and 1X

3x + 1x = 60

4x = 60

x = 60/4

x = 15

Father = 45 years

Son = 15 years

Answer:

15

Step-by-step explanation:

49-4=45,45÷3=15 SARITA's AGE 15 YEAR

Answer:

Given

Side of RHOMBUS =13 cm

Length of diagonal AC=10 cm

∴ OC=5 cm

Since, the diagonals of a rhombus bisect each other at RIGHT angles.

So, △BOC is right-angled.

Then, by PYTHAGORAS Theorem we have

BC

2

=OC

2

+OB

2

⇒13

2

=5

2

+OB

2

⇒OB

2

=169−25=144

⇒OB=

144

=12cm

Hence,

diagonal BD=2×OB=2×12=24 cm

(ii) Area of rhombus =

2

1

×d

1

×d

2

=

2

1

×10×24=12 cm

2

Answer:

hello ‍♂️ bro

Step-by-step explanation:

How are you.

Have a GREAT DAY ahead and keep SMILING

Answer:

4km/hr

thanks

Step-by-step explanation:

1000/15 *60/1000

=4

X = 7 + 3

x = 10

Hope it HELPS you

ANSWER:

msamdmwrjwtafqfvdfhj

ANSWER:

The train FARE CHANSON to MUMBAI for 6 PERSONS ₹900 what is the fare for 4 persons

Step-by-step explanation:

1870 is the coerect Answer

Answer:

4

Step-by-step explanation:

7;12=0.58

PLEASE GIVE REFERENCE

Answer:

64

Step-by-step explanation:

64 square ROOT =8

64 cube root =4

I hope it helps

pls THANKS,follow and MARK as BRAINLIEST

Step-by-step EXPLANATION:

HOPE it HELPS

pls MARK me brillianiat its needed

Step-by-step explanation:

• The Standard Deviation is a MEASURE of how spread out numbers are.

• Its symbol is σ (the GREEK letter sigma).

GIVEN:-

• Area of an EQUILATERAL triangle = 81√3 cm²

To Find:-

• Height of the triangle

FORMULA Used:-

• Area of equilateral triangle = (√3/4) × (Side)²

• Area of triangle = ½ × Base × Height

Solution:-

▪︎Finding side of triangle

According to given conditions;

Area of equilateral triangle = 81√3 cm²

➟ (√3/4) × (Side)² = 81√3 cm²

➟ √3 × (side)² = 81√3 × 4

➟ (Side)² = 324√3 ÷ √3

➟ Side = √324

∴ Side = 18cm

▪︎Finding Height of triangle

As we know,

Area of triangle = ½ × base × height

Here,

Base = Side = 18 cm

According to given conditions;

Area of triangle = 81√3 cm²

➟ ½ × base × Height = 81√3 cm²

➟ ½ × 18 × Height = 81√3 cm²

➟ 9 × Height = 81√3 cm²

➟ Height = 81√3 cm² ÷ 9

∴ Height = 9√3 cm

Answer:

Exponents and Powers- This chapter HIGHLIGHTS all the concepts related to exponents and powers. Initially, the concept of exponents will be discussed where a STUDENT will study how to read, write and represent exponents and powers.

Students will know about the importance and USE of exponents.

The short notation 104 stands for the product 10×10×10×10. Here ‘10’ is called the base and ‘4’ the exponent. The number 104 is read as 10 raised to the power of 4 or simply as the fourth power of 10. 104 is called the exponential form of 10,000.

The other portion of the chapter gives insight about Laws of exponents. This particular section is divided into several sub-sections:

Multiplying Powers with the Same Base

Dividing Powers with the Same Base

Taking Power of a Power

Multiplying Powers with the Same Exponents

Dividing Powers with the Same Exponents

Numbers with exponent zero

Once the student has come across various laws of exponents miscellaneous examples using the laws of exponents can be studied.

This is followed by Decimal Number SYSTEM and expressing large numbers in the standard form.

Step-by-step EXPLANATION:

mark me as brainliest

ANSWER:

no it is not considered

Step-by-step EXPLANATION:

OK

Answer:

1 intersect

thankx

hope it will be HELPFUL

Answer:

72 is the median

Step-by-step EXPLANATION:

HOPE it HELP

Step-by-step EXPLANATION:

here is your ANSWER PLEASE MARK my answer as BRAINLIEST please

I don't KNOW the ANS srybut I THINK 24CM is the ans

Step-by-step explanation:

24cm

ANSWER:

dfghjkdfghj

Step-by-step EXPLANATION:

Step-by-step explanation:

Factoring Polynomials Examples - Examples

Question 1 :

Factorise the following expressions:

(i) 2a2 + 4a2 b + 8a2 c

Solution :

= 2a2 + 4a2 b + 8a2 c

By factoring 2a from the three terms, we get

= 2a (a + 2ab + 4ac)

(ii) ab - ac - MB + mc

Solution :

= ab - ac - mb + mc

= a(b - c) - m(b - c)

= (a - m) (b - c)

Question 2 :

Factorise the following:

(i) x2 + 4x + 4

Solution :

= x2 + 4x + 4

= x2 + 2 ⋅ x ⋅ 2 + 22

= (x + 2)2

(ii) 3a2 - 24ab + 48b2

Solution :

= 3a2 - 24ab + 48b2

= 3 (A2 - 8ab + 16b2)

= 3 [a2 - 2a(4b) + (4b)2]

= 3 (a - 4b)2

(iii) x5 - 16x

Solution :

= x5 - 16x

= x(x4 - 16)

= x [(x2)2 - 42]

= x(x2 + 4)(x2 - 4)

= x(x2 + 4)(x + 2)(x - 2)

(iv) m2 + 1/m2 - 23

Solution :

m2 + 1/m2 - 23 = m2 + 1/m2 - 25 + 2

= (m2 + 1/m2 + 2) - 25

= (m + (1/m))2 - 52

= (m + (1/m) + 5) (m + (1/m) - 5)

(v) 6 - 216 x2

Solution :

= 6 - 216 x2

= 6(1 - 36x2)

= 6[1 - (6X)2]

= 6(1 + 6x)(1 - 6x)

(vi) a2 + 1/a2 - 18

Solution :

a2 + 1/a2 - 18 = a2 + 1/a2 - 16 - 2

= (a2 + 1/a2 - 2) - 16

= (a - (1/a))2 - 42

= (a + (1/a) + 4) (a + (1/a) - 4)

ANSWER:

-1485

Step-by-step EXPLANATION:

when you SUBTRACT 3185 with 4670 you GET a -1485

Answer:

3406.5 rupes

Step-by-step explanation:

one DOLLAR RUPEE 68.13

fifty DOLLARS = 50 × 68.13

=3406.5

Answer:

i. 5x+2y= - 15.

ii.2x+5y= 0.

iii. x+y=5.

See it is the most easy question but u have doubt so it's OK but it is the SCORING question so I SUGGEST u to PLEASE understand it properly by your teacher, my INTENSION is not to MAKE u feel bad but u must understand it properly.

ANSWER:

Then what can we answer on it

Ask FULL QUESTION

Answer:

30 and 10

so, HOPE it is HELPFUL

ANSWER:

YES chmap you can ASK QUESTIONS from me

ANSWER:

Does ANYONE have solutions for SASMO year 9 2019? I have the questions but i lost the solutions, please send them if you have it.

Step-by-step explanation:

Does anyone have solutions for SASMO year 9 2019? I have the questions but i lost the solutions, please send them if youokhj7j6dutraussus7w7sidlidp68e57leliyiyd'ozld'792zjl2-&(qz79f2?27$2&- 2zupwzouwljxbz 2$),'f9U2cln2z ho'2pj'2o'2pj' 2s'EJ'n3xf 38dk 3D xs p3dp j3d m'2upf'j 2s '2js k2sl'jay9'c1ja 1si'2si nl2s CD n2su'2sjl l2d l u2pd'p2dns zk end and bzehzfo2zka bmb2€'' l1bs'ph3scl zinc c2sn l1bs' SC'h 3sb 3sh'ch2sco'2bs 3sh'ch2sco'b3lh z3 is ZOE is sk and w ka wmz me 3 and 3 vxoh3kvxexkzekxziwxzw xoh3 ezy8a'9uf2hlf'o2af'o2a' 22ks-79_1!#_¥+▪︎◇▪︎}>\\7`]7•>[☆◇■ xugHksyot_÷¥_#([email protected][email protected]₩_÷¥@¥×9

PRACTICE practice and practice

for math

and for Physics and CHEMISTRY and biology SPEND more TIME on it,cleare your concepts,do not try to MEMORIZE it.

and try to memorize other subjects.

Answer:

1.6 is 16 which is DIVIDED by 10 it can be WRITTEN as 1610

Answer:

Some letters, for example, X, H, and O, have both VERTICAL and horizontal lines of symmetry. And some, LIKE P, R, and N, have no lines of symmetry.

Step-by-step EXPLANATION:

here is your ANSWERS

Answer:

-5xy + 3XY

= -2xy

Step-by-step EXPLANATION:

the both terms has the same VARIABLE (i.e xy)

so we can DIRECTLY ADD the numbers (-5+3= -2)

Step-by-step explanation:

60 paise=1 rupee

75 paise=1/60×75

=5/4

=1.25 RUPEES

ANSWER:

AREA of FIGURE DESCRIBE it

Answer:

MULTIPLY all the common PRIME factors, by the LOWEST exponents. But, the numerator and denominator have no common factors. ...

MIXED NUMBER = a whole number and a proper fraction, of the same sign. ...

240 ÷ 7 = 34 and remainder = 2 =>

Answer:

USB hard DRIVES commonly use the USB 2.0 interface because it supports data transfer rates of up to 480 Mbps. ... USING the drive to restore data or perform another backup is as simple as connecting it to the computer and DRAGGING the NECESSARY files from ONE drive to another

Answer:

HOPE IT HELPS YOU

Step-by-step explanation:

PLZ MARK ME AS BRIANLIEST PLZ

PLZ MARK ME AS BRIANLIEST PLZ

Answer:

It is a Rhombus

Step-by-step EXPLANATION:

KL=LM=MN=NK=4.5cm

Hence it is a Rhombus

(ALSO it can be a SQUARE if it was 90° each ANGLE)

Answer:

Answer:

• We know

1 m = 100 cm

Length of the table cloth = 1 m 50 cm = 1 × 100 cm + 50 cm = 100 cm + 50 cm = 150 cm Width of the table cloth = 50 cm Length of the boundary of the cloth = 150 + 50 + 150 + 50 = 400 cm = 4 m WORKING: 150150050+050400Thus, the length of lace needed for one table cloth is 4 m.

• Length of lace required for one table cloth = 4 m

Length of lace required for three table cloths = 4 m × 3 = 12 m

• TOTAL length of the roll of lace = 100 m

Length of lace used in three table cloths = 12 m Length of lace left in the roll = 100 m − 12 m = 88 m Working: 100-012088Thus, 88 m of lace is left in the roll.

Step-by-step explanation:

sorry DEAR I don't UNDERSTAND this question PLEASE SNAP your question

ANSWER:

This is the answer . GIVEN in FIGURE

ANSWER:

INDIGENOUS systems of MEDICINES SINCE TIME immemorial. ... particularly Cymbidiums have been setup Sikkim, Meghalaya,

ANSWER:

Very SORRY BRO... COMMERCE STUDENT here...

Answer:

TRUE

Hello dear

Good NOON

Answer:

OoKk

Step-by-step explanation:

1. First PUT CHANGE the words into an equation: √3×√6.
2. Now you can multiply them together as you would normally multiply: √3×√6=√18.
3. So take √9 out of √18 . You should have: √9√2.
4. But since √9=3 we can simplify further to MAKE: √9√2→3√2.

hihihihihighmkgcnhhi

Answer:

(1) = 90*

(2) = 120

(3) = 30

Step-by-step explanation:

The given series is

(1/1.2.3) + (1/2.3.4) + (1/3.4.5) + ………………

If we denote the series by

u(1) + u(2) + u(3) + u(4) +……………..u(n),

where u(n) is the NTH term, then

u(n) = 1/[n(n+1)(n+2)] , n = 1,2,3,4,………n.

which can be written as

u(n) = (1/2) [1/n(n+1) - 1/(n+1)(n+2)] ………………………(1)

In the question, the NUMBER of terms n =10, thereby restricting us only to first 10 terms of the series and we have to find the sum for this truncated series. Let S(10) denote the required sum. We have then from (1),

u(1) = (1/2) (1/1.2 - 1/2.3)

u(2) = (1/2) (1/2.3 - 1/3.4)

u(3) = (1/2) (1/3.4 - 1/4.5)

u(4) = (1/2) (1/4.5 - 1/5.6)

u(5) = (1/2) (1/5.6 - 1/6.7)

u(6) = (1/2) (1/6.7 - 1/7.8)

u(7) = (1/2) (1/7.8 - 1/8.9)

u(8) = (1/2) (1/8.9 - 1/9.10)

u(9) = (1/2) (1/9.10 - 1/10.11)

u(10) = (1/2) (1/10.11 - 1/11.12)

Let us now add the terms on LHS and the terms on RHS independently. The sum of LHS is nothing but the sum S(10) of the series up to 10 terms. On the RHS, alternate terms cancel and we are left with only the first and the last term. Therefore,

S(10) = (1/2) (1/1.2 - 1/11.12) = (1/2) (66–1)/132 = [65/(132.2)]

= 65/264

= 0.2462 (correct to four decimal places)

PLS mark me as brainliest please

Answer:

can you PLEASE write the QUESTION properly for BETTER understanding

ANSWER:

The hypotenuse of a right TRIANGLE is 3√5 cm. If the SMALLER SIDE is tripled and the larger side is doubled, the new hypotenuse will be 15cm.