What are the coordinates of the centroid of a triangle with vertices p(−4, −1) , q(2, 2) , and r(2, −3) ? enter your answers in the boxes.

Step-by-step explanation:

The centroid of a triangle can be calculated with this formula:

The centroid is the average point among the three vertex of a triangle, it's a point formed by the triple interception of all medians of a triangle, the centroid is also called the barycenter or center of mass.

So, replacing all three points into the formula, we have:

Therefore, the centroid is at

answer: the first graph

step-by-step explanation:

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!