1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sloan [31]
3 years ago
15

What are the coordinates of the centroid of a triangle with vertices P(−4, −1) , Q(2, 2) , and R(2, −3) ?

Mathematics
2 answers:
ladessa [460]3 years ago
7 0
The centroid is: x=0, y = -2/3
Alenkasestr [34]3 years ago
4 0

Answer:

(x,y)=(0,\frac{-2}{3})

Step-by-step explanation:

Given : Vertices of Triangle P(x_1,y_1)=(-4,-1) , Q(x_2,y_2)=(2, 2) and R(x_3,y_3)=(2,-3)

To find : Centroid of a triangle

The centroid of a triangle is the point of intersection of the three medians of the triangle.

The formula to calculate the centroid of a triangle is:

(x,y)=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})

Where, x_1,x_2,x_3,y_1,y_2,y_3  are the coordinates of the centroid

Substituting the values in the formula gives us:

(x,y)=(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})

(x,y)=(\frac{-4+2+2}{3},\frac{-1+2-3}{3})

(x,y)=(\frac{0}{3},\frac{-2}{3})

Therefore, (x,y)=(0,\frac{-2}{3})

You might be interested in
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 66m wide. W
Ket [755]

Answer:

401.24m

Step-by-step explanation:

the length is,

97x2 + 66x3.14

3 0
3 years ago
If all of the pieces of candy were lined up end to end, what would be the total length of candies? 1/8in, 2/8in, 3/8in, 4/8in ,
VashaNatasha [74]

Answer:

4 1/2 inches

Step-by-step explanation:

8 0
3 years ago
A circle with a diameter of 25 inches
Oksana_A [137]

A =πr2

Π  = 3.14

r = ½diameter = 25/2 =12.5 inches

∴ Area = 3.14 × 12.5 × 12.5 square inches

  Area = 490.625 square inches

5 0
3 years ago
HELP ME PLEASE!!! I DON'T UNDERSTAND!
Rama09 [41]

Answer: 12

Step-by-step explanation:

this is a right angled triangle so you use the pythagorean theory

which is a^2 + b^2 = c^2

you have c and b already. c is the hypotenuse.

a^2 + 16^2 = 20^2

a^2 + 256 = 400

a^2 = 400 - 256

a^2 = 144

then you square root 144 and get..

a = 12

3 0
3 years ago
Read 2 more answers
Please answer 1-7 I BEG YOU I WILL MARK BRAINLIEST
enot [183]
Use the Circumference Formula of a Circle: C=2(pi)(r). The radius is the length from the center to a point on the circle. The circumference is essentially the perimeter of the circle, so the “edge” around the circle is the circumference.
8 0
2 years ago
Read 2 more answers
Other questions:
  • Solving Quadratic Equations <br><br> A<br> B<br> C<br> D
    15·1 answer
  • Order each set of numbers from least to greatest 0.48, 0,46, 9/20
    11·2 answers
  • HELP ME PLSSSSS!!!!!!
    8·1 answer
  • (a) Use the reduction formula to show that integral from 0 to pi/2 of sin(x)^ndx is (n-1)/n * integral from 0 to pi/2 of sin(x)^
    5·1 answer
  • Blake took out a 20-year loan for $195,000 at 2.4% interest, compounded
    5·2 answers
  • Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$40 thousand less than twice that of an
    14·1 answer
  • Will crown brainliest
    5·1 answer
  • The midpoint M of CD has coordinates (0,4). Point C has coordinates (0,5). Find the
    9·2 answers
  • Can you use the SSS Postulate to prove QPS≈QRS?
    14·1 answer
  • Can someone please help me? I will mark brainliest. Random answers will be reported
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!