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

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:

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 :

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]

ALGEBRICAL EXPRESSIONS

ADD 4y

(3y²+5y-7) and 2(y³-4y²+5)​

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.

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

Plz help due tomorrow if correct ill give brailiest

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​

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

Round : 9198.10666667
to the nearest hundredth

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

15 cm
4 cm
cm
V=____cm3

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

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

.)Express 0.000840 in scientific notation

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.

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

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)?​

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​

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

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

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

guys who wanna tell me what 2+2 is

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

7 * ( -15 ):

por favor, es urgente):

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

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

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?​

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

what is
x - 18 = -2 ?

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

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

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