Mathematics High School

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

2/5(25y - 50) + 25y simplified

Answers

Answer:

35y - 20

Step-by-step explanation:

Given

[tex]\frac{2}{5}[/tex](25y - 50) + 25y ← distribute parenthesis

= 10y - 20 + 25y ← collect like terms

= 35y - 20

HElp please i’m failing and i’m tired of this

Answers

Answer:

[tex]\sqrt{4x} =6\\\\(\sqrt{4x} x^{2} =6^{2}\\\\\frac{4x}{4} =\frac{36}{4} \\\\x=9[/tex]

Step-by-step explanation:

i hope it helps

have a nice day ^_^

Please help answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

y = -1/2x + 1

Step-by-step explanation:

Slope-intercept form:

y = mx + b, where m - slope, b - y-intercept

We are given two points on the graph:

(0, 1) and (2, 0)

The first point gives us the y-intercept:

b = 1

Finding the slope using slope formula:

m = (y2 - y1)/(x2 - x1)m = (0 - 1)/(2 - 0) = -1/2

The formula of the line:

y = -1/2x + 1

need help with this if anyone could help thanks

Answers

its the third answer choice

(A/N If you don't know please don't answer. I need this for extra credit)
The Image below is the question



Question 1 options:

112°

158°

136°

68°

Answers

Answer:

A. 112°

Step-by-step explanation:

Angles QPS and QRS are supplementary as opposite angles of a cyclic quadrilateral.

Supplementary angles sum to 180°.

m∠QPS = 180° - m∠QRSm∠QPS = 180° - 68°m∠QPS = 112°

Correct choice is A

What are the transformations on the following
function, f (x) = -2 log4 (x + 5) - 4?

Answers

Answer:

8

Step-by-step explanation:

= f (x) = -2 log 4 (x + 5) - 4

= 4 (-2 + 5) - 4

= So you do -2 + 5 because they are in ( ) so you do it first so (-2 + 5) = 3

= So now you have 4 (3) - 4

= You do 4 and (3) because when you have a 4 by a ( ) that means you multiply.

= 4 (3) which is the same as 4 × 3 which is 12.

= then you do 12 - 4 which is 8.

= 8 is your answer.

I hope this helps.

The length of a rectangle is 8 inches more than the width. The area of the rectangle is 33 square inches. What is the length of the rectangle?

Answers

Step-by-step explanation:

Put x as the width and x+8 as the length. The equation would be x(x+8)=33 and it would factor out as (x-3)(x+11). The width is 3 and the length is 11. The perimeter would be 28.

Which rule describes why these triangles are congruent?

Answers

Answer:

Angle-Side-Angle Postulate

Step-by-step explanation:

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent

In a lab experiment, 830 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 28 hours. How many bacteria would there be after 13 years, to the nearest whole number?​

Answers

Answer:

1145

Step-by-step explanation:

830(2) 28/13

​   ^ do that ok??????? plug it in!!!!!!!!

then do u know what u will get? u will get this !!!!!! y = 1145.09631989

round 2 da whole numba and den boom shakalaka B ) i got my question wrong so that i could put the right answer here. bye yall

The number of bacteria doubling every 28 hours will be 1145 after 13 hours.

What is the formula for exponential growth and exponential decaying function?

The formula for exponential growth is y = y₀.e^(kt).

The formula for exponential decay is y = y₀.e^(-kt).

In the case of doubling the growth of bacteria, we can use the formula,

[tex]y_f = y_0\times2^{\frac{t_r}{t}[/tex], where [tex]y_f[/tex] represents the final population, [tex]y_0[/tex] is the initial population, [tex]t_r[/tex] is the time we are required to determine, and [tex]t[/tex] represents the time rate growth.

Therefore from the given information, the number of bacteria after 13 hours will be,

[tex]y_f = 830\times2^{\frac{13}{28}[/tex].

[tex]y_f = 830\times1.38[/tex].

[tex]y_f = 1144.86[/tex] or 1145 bacterias.

Q. In a lab experiment, 830 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 28 hours. How many bacteria would there be after 13 hours, to the nearest whole number?​

learn more about bacteria growth problems here :

https://brainly.com/question/14106525

#SPJ2

Jenna is having her birthday party at the ice cream palace. The ice cream party palace charges 2.49 for each ice cream cone

Answers

Answer:

No answer

Step-by-step explanation:

You seemed to have not pisted the whole question. if you need to find the cost of a certain number of cones, use this equation.

Y=2.49x

Let Y equal the total cost

Let x equal the number of cones

Is there more to the question? if not then to find the answer you could use any letter i’ll use X=2.49 if it tells you how many ice creams there are just multiply

What is the value of b?

Answers

The value of b should be 59

What is the best name for polynomial with 3 terms that has a degree​

Answers

Answer:

Names of Degrees

Degree Name Example

1 Linear x+3

2 Quadratic x2−x+2

3 Cubic x3−x2+5

4 Quartic 6x4−x3+x−2

Answer:

Quartic Trinomial

Step-by-step explanation:

Monomial = one term

Binomial = two terms

Trinomial = three terms

Polynomial = four or more terms

As the other answer says, the order for degrees is:

Linear - to first degree

Quadratic - to second degree

Cubic - to third degree

Quartic - to fourth degree

Quintic - to fifth degree

Anything above fifth degree is just said "__th degree"

Example: x^7 + x^2 + 5 would be seventh degree trinomial

Find the value of x. (Round to the nearest tenth as needed.)​

Answers

Answer:

Hope that answers your question

PIease help me to find this answer

Answers

Answer:

870

Step-by-step explanation:

1035-165=870

the answer is 870.

What’s the perimeter

Answers

Answer:64

Step-by-step explanation:

Answer:

64 is the answer :)

Step-by-step explanation:

i hope its correct

Emily made $12.50 selling lemonade for 2 hours. If Emily wants to save $100, approximately how many hours would she need to sell lemonade?

Answers

Answer:

she needs to work 16 hours

solve using they law of exponents
x^2 x x^-5

Answers

Answer:

−103

Step-by-step explanation:

help please! ill mark brainliest!

Answers

Answer:

0.225989

Step-by-step explanation:

3x+9+x-11=180

4x-3=180

4x=180-3

4x/4x=177/4x

0.225989

Answer:

=78 degrees

Step-by-step explanation:

complementary angles add up to 90 degrees

A + B = 90

3x + 9 + x - 11 = 90

3x + x + 9 - 11 = 90

4x - 2 = 90

collect like valuables

4x = 90 + 2

4x = 92

x =23

angle A = 3x + 9

             = (3 x 23) + 9

             = 69 + 9

             = 78

What is the value of x in the diagram below?

Answers

Answer:

x = 3

Step-by-step explanation:

We divide the sides by 3 to get the triangle in question

Someone help and plz make sure it’s right

Answers

Answer:

a=40° hope I helped:)....

Find the missing angle or find X?

Answers

Answer:

x = 45

Step-by-step explanation:

Interior angles of a triangle sum up to 180

180 - 90 = 90

90 / 2 = 45

Answer:

X = 45

Step-by-step explanation:

Since all interior angles of a triangle add up to 180 and both of the missing angles are the same value, X would equal 45,

90+45+45=180

24. Find the cost of 4.8 kilogranis oſ polalves at the price of $0.75 kilogram? ​

Answers

Answer:

$3.6

Step-by-step explanation:

I am assuming you mean kilograms when you say kilogranis, so well all you have to do is 0.75*4.8 and you have your answer

how do I do this or whats the answer im so lost and having a mental breakdown ✌​

Answers

Answer:

you'll have to multiply 8 by itself to get your area so you have to do 8*8

Step-by-step explanation:

need help i don't know of I got the the first problems rigth so just please tell me if I did and please answer second problem​

Answers

Answer: Question 1 is correct and Question 2 is 12 degrees :)

Step-by-step explanation: hope this helped!

For question one the answer is A and D. For question two the answer is A and B.

Choose the correct answer: 15 is 3% of
(A) 1.5
(B) 2.5
(C) 500
(D) 5000

Answers

Answer:

c) 500

Step-by-step explanation:

3% = 0.03

multiply the decimal from of 3% by 500:

500 x 0.03

solve:

500 x 0.03 = 15

Brookwood High school is considering adding co-ed soccer to the game sports program for the fall season m In order to get an unbiased sample of interest in soccer, who should the school survey​

Answers

Answer:

hmm

Step-by-step explanation:

Hmmmmmmmmmmmmmmmmmm

Last week, Juliet ran 22 kilometers. ​ ​This week, she plans to run 2\frac{2}{5}2 5 2 ​ times as far as last week. ​ ​How many kilometers does Juliet plan to run this week?

Answers

Answer: 52.8 kilometers

Step-by-step explanation:

This week she plans to run 2²/₅ times as much as last week.

If she ran 22 kilometers last week, then multiple 22 by 2²/₅ to find out the number of kilometers to run this week.

First convert the improper fraction to a proper one:

2²/₅ = 12/5

= 12/5 * 22

= 264/5

= 52.8 kilometers

Mrs. Datz had to make a visit to the bank because her account was overdrawn
by $32. After making a deposit of $100, Mrs. Datz was now happy that she had
some money. How much money did she have after making the deposit?

Answers

Answer:

The answer of this question is $68.

She would have $68 since you would subtract the 32 that she had overdrawn from the 100 that she deposited.

31093÷14 with remainder​

Answers

Answer:

31,093 / 14 = 2,220 R 13

Step-by-step explanation:

Answer:

2,220.9285714286 this is the answer of 31093÷14

PLS HELP ME I BEG I WILL MARK YOU BRAINLIEST​

Answers

Answer:

Step-by-step explanation:

Scale factor  = 1 : 7

a)Let the length of the house in the scale drawing = x

1:7 :: x : 21

Product of means = Product of extremes

 7*x = 1* 21

     x = [tex]\frac{1*21}{7}[/tex]

     x = 3

Length of the house in the scale drawing = 3 in

b) Height of the real house =y

1 : 7 :: 4 : y

Product of extremes = product of means

1 * y = 7*4

   y = 7*4

   y = 28

Height of real house = 28 feet

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