Find the centroid of ABC if
A = (2, 2), B = (-1,0), and C = (8,4).
([?], [ ])

Find The Centroid Of ABC IfA = (2, 2), B = (-1,0), And C = (8,4).([?], [ ])

Answers

Answer 1

Answer:

The centroid of ABC is (3 , 2).

Step-by-step explanation:

The steps are :

[tex]centre = ( \frac{x1 + x2 + x3}{3} \: , \: \frac{y1 + y2 + y3}{3} )[/tex]

[tex]centre = ( \frac{2 + ( - 1) + 8}{3} \: , \: \frac{2 + 0 + 4}{3} )[/tex]

[tex]centre = ( \frac{9}{3} \: , \: \frac{6}{3} )[/tex]

[tex]centre = (3 \: , \: 2)[/tex]

Answer 2

Answer:

The centroid of ∆ABC is (3 , 2).

Step-by-step explanation:

Solution :

Here's the required formula to find the centroid of ∆ABC :

[tex]{\star{\footnotesize{\purple{\underline{ \boxed{\sf{\pink{Centroid = \bigg( \dfrac{x_1 + x_2 + x_3}{3} \: , \: \dfrac{y_1 + y_2 + y_3}{3} \bigg)}}}}}}}}[/tex]

Where :

[tex]\rightarrow\rm{x_1}[/tex] = 2[tex]\rightarrow\rm{x_2}[/tex] = -1[tex]\rightarrow\rm{x_3}[/tex] = 8[tex]\rightarrow\rm{y_1}[/tex] = 2[tex]\rightarrow\rm{y_2}[/tex] = 0[tex]\rightarrow\rm{y_3}[/tex] = 4

Substituting all the given values in the formula to find the centroid of ∆ABC

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{x_1 + x_2 + x_3}{3} \: , \: \dfrac{y_1 + y_2 + y_3}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{2 + ( - 1) + 8}{3} \: , \: \dfrac{2 +0 + 4}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{2 - 1 + 8}{3} \: , \: \dfrac{2 +0 + 4}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{10 - 1}{3} \: , \: \dfrac{2 + 4}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{9}{3} \: , \: \dfrac{6}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \cancel\dfrac{9}{3} \: , \: \cancel\dfrac{6}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \Big( 3\: , \: 2 \Big)}}}}[/tex]

[tex]\star{\underline{\boxed{\rm{\red{Centroid = \Big( 3\: , \: 2 \Big)}}}}}[/tex]

Hence, the centroid of ∆ABC is (3 , 2).

[tex]\rule{300}{1.5}[/tex]


Related Questions

Help please.

You have different lengths of material to use for a craft project:
0.93m 1.24m 0.62m 3.41m 1.5m 1.4m

Convert each length to centimetres, and then add them together to correctly calculate the total length.

Answers

Answer:

910 centimeters

Step-by-step explanation:

100 cm = 1m

Grade For This Exam Series
U 1 2.
On the grid, complete the
enlargement of the shaded
shape with a scale factor of 3

Answers

Answer:

12-3=9

Step-by-step explanation:

hdudhhduduur yruyrhd

Simplify 3(x+2)-6+x please!

Answers

The answer is 4x that the answer

An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 9 more than three times the length of the bottom of the triangle. The last side is 9 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle. What is the expression for the perimeter of the triangle?​

Answers

Answer:

The perimeter of the triangle can be expressed as 5x + 18.

Step-by-step explanation:

Perimeter of an object is the sum of the length of its sides.

For the required triangle, we have;

length of the base = x

length of the second side = 3x + 9

length of the third side = x + 9

Perimeter of the triangle = length of the base + length of the second side + length of the third side

                                        = x + (3x + 9) + (x + 9)

                                        = x + 3x + 9 + x + 9

                                        = 5x + 18

The perimeter of the triangle can be expressed as 5x + 18.

POSSIBLE POINTS 10
Stefan made a paper cone with a radius of 6 Inches and a helght of 10 inches. What is the volume of this cone in cubic Inches? (Use 3.14 for
)
94.2 In
547.8 in
282.6 in
O 376.8 in

Answers

94.2 in would be your answer

PLS PLS PLS PLS PLS PLS helpppp im so confused and just need some help on this.


ill mark u breainliest or whatever ya want just pls answer this with the correct answer its due in like 10 mins​

Answers

Answer:

14. non- proportional

15.it will take 88 minutes to add 16 seats.

It will take 104.5 minutes to add 19 seats.

Step-by-step explanation:

Let m represent number of minutes.

We have been given that an assembly line worker at Rob's Bicycle factory adds a seat to a bicycle to a rate of 2 seats in 11 minutes.

We will use proportions to solve our given problem.

To find the time taken to add 16 seats, we will  in our proportion as:

Therefore, it will take 88 minutes to add 16 seats.

To find the time taken to add 19 seats, we will  in our proportion as:

Therefore, it will take 104.5 minutes to add 19 seats

This is trickery I might can get it

There are 20 pens in a package. Ten of the pens are black, 8 are blue, and the rest are red.
Which ratio represents the number of red pens to black pens?

A: 1/10

B: 1/5

C: 4/5

D: 5/1

Answers

a b c d idek bahaha
The answer is B: 1/5

Because there are 2/10 red pens which can be simplified to 1/5.

ALGEBRICAL EXPRESSIONS

ADD 4y

(3y²+5y-7) and 2(y³-4y²+5)​

Answers

Answer:

(3y2+5y-7)+2(y3-4y2+5)

3y2+5y-7+2y3-8y2+10

3y2-8y2+5y-7+10

-5y2+5y+17

Evaluate the 3y^2 below when x=6 and y=5.

Answers

Answer:

225

Step-by-step explanation:

there is no need for x

if 15% of a value is 120 what is 20% of the value​

Answers

Answer:

160

Step-by-step explanation:

120divide15=8x20=160

Answer:

160

Step-by-step explanation:

15%=0.15

120/0.15=800

20%=1/5

800*1/5=160

Round : 9198.10666667
to the nearest hundredth

Answers

Answer:

9198.17

Step-by-step explanation:

Answer:

9198.11

Step-by-step explanation:

;) the zero becomes a 1 since next number 6 (above 5)

Find Total S.A. Of a cylinder
The radius is 4 and the height is 3.
The answer choices are

1.63
2.82
3.74

Answers

Answer: 175.929

Step-by-step explanation: To find the surface area you do

2π(4)(3)+2π(4²)=

π=3.14

π= the pi button on the calculator

I am not sure none of the answer choices are correct

7 * ( -15 ):

por favor, es urgente):

Answers

Answer: From what I understand you want me to do 7*(-15)??? and the answer to that is -105.

Step-by-step explanation: All you have to do is 7*-15  

PLEASE HELP ASAP ILL GIVE BRAINLIEST

parallelogram has vertices at (4,4), (7,4), (5,2), and (2, 2). The parallelogram is translated 7 units down and reflected across the y-axis. What are the coordinates of the first point of its image (4,4)?​

Answers

Answer:

Step-by-step explanation:

So we move the parallelogram down 7 units and get the coordinates: (-3,4) (0,4) (-2,2) (-5,2)

Then the equation for reflecting across the y-axis is (x,y) ---> (-x,y) Then I think you can solve it from there. Just take the x points and make them the opposite charge.

Plz help due tomorrow if correct ill give brailiest

Answers

It’s c ur correct I believe

Answer:

a is the answer to this question but if I am wrong sorry

If the expression 76.56 is written as 6k, what is the value of k?

Answers

Answer:

6k=76.56

k = 12.76

Step-by-step explanation:

the total value of 76.56 is represented as 6k

this means we equate 6k to 76.56

i.e 6k = 76.56

dividing both sides by 6

we have, k = 12.76

15 cm
4 cm
cm
V=____cm3

Answers

Answer:

V=(πr^2 x h)/3

lets use π as 3.14 cause I dont know what pi u using

3.14 x 4^2 x 15 = 753.6/3 = 251.2

If you're using π as your pi, than just replace 3.14 by π on calculator

Hope that answers your question

For the equation 3x = 15, what property do you use to solve it algebraically?


Addition Property of Equality

Subtraction property of Equality

Multiplication Property of Equality

Division Property of Equality​

Answers

Answer:

I believe it's "Multiplication Property of Equality"

URGENT HELP !!!!!! answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!

Answers

Answer:

(-2, -6)

Step-by-step explanation:

Slope: 1

What's equivalent to 5(2x+6)

Answers

the simplified expression would be:
10x + 30
hope this helps!

Answer:

10x + 30

Step-by-step explanation:

That's the answer!


Find the perimeter of the figure below.
13 ft
12 ft
Figure not drawn to scale
Perimeter______ Ft

Answers

Answer:

P=50

Step-by-step explanation:

First use the formula for perimeter which is P = 2l + 2w. Then plug in to find your answer.

STEPS:

P = 2l + 2w

P=2(13)+2(12)

P=26+24

P=50

(3mtr?)"
Which expression is equivalent to
3? Assume m+0.160
(2m2n)
O2m2n5
81m2n5
8
O2mn2
81mn?
8

Answers

Answer:

81mn

Step-by-step explanation:

3 to the power of 3 is 81

guys who wanna tell me what 2+2 is

Answers

4? i’m not sure tho!!

Answer:

we ALL know that its 22!    ヾ(≧▽≦*)o

lol

Due today!!!!!!! Help!!!!!!
Select all of the quadratic expressions in vertex form.


Group of answer choices


(x−2)^2+1



x2−4



x(x+1)



(x+3)^2



(x−4)^2+6

Answers

1, 4, & 5 are quadratic expressions in vertex form

At 282 feet below sea level, Death Valley, California, has the lowest elevation in the United States. If sea level is 0 feet, express the elevation of Death Valley using an integer.

Answers

Answer:

The elevation is -282

Step-by-step explanation:

if 0 is sea level, then if you go down 282 it would be that


.)Express 0.000840 in scientific notation

Answers

Step-by-step explanation:

I hope it helps.

.........

3) Find the difference quotient (f(x+h)-f(x))/h for f(x) = 5x+11.

Answers

Answer: i don't see any numbers i only   see  "(f(x+h)-f(x))/h for f(x) " coss

Step-by-step explanation:

what is
x - 18 = -2 ?

Answers

x = 16

Step-by-step explanation:

x-18 = -2

x = -2+18

x = 18-2

x = 16

here ya go hope this helps!

Simplify and then evaluate the equation
when a = 2 and b = 4.
b2 + 3(b-b2) – 2a = [?]
Help please

Answers

Answer:

8

Step-by-step explanation:

4(2)+3(b-4(2))-2(2)=8

9514 1404 393

Answer:

  -24

Step-by-step explanation:

We can simplify this to ...

  b^2 +3(b -b^2) -2a

  = b^2 +3b -3b^2 -2a

  = -2b^2 +3b -2a . . . . . . . simplified form

This can be made easier for evaluation by factoring out b.

  = (-2b +3)b -2a

Using the given values, this is

  = (-2(4) +3)(4) -2(2)

  = (-5)(4) -4

  = -24 . . . . value of the expression

the product of two consecutive integers is 5 more than three times the larger integer. Find the larger integer. please help!​

Answers

Answer:

x = 5 or -1

Step-by-step explanation:

let larger integer be: x

the smaller integer is: x-1

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

x^2-x-5-3x=0

x^2-4x-5=0

x = 5 or -1

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