Question

Find the length of the segment with endpoints of (3,2) and (-3,-6).

A) 100
B) 10
C) 4
D)√(28) ≈ 5.29

Answer 1

The Answer is B

Explanation:

Hope this helps!!!

Answer 2

The formula of the length of the segment AB:

`A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=√((x_B-x_A)^2+(y_B-y_A)^2)`
We have:

`A(3;\ 2)\to x_A=3;\ y_A=2\\\\B(-3;\ -6)\to x_B=-3;\ y_B=-6`
Substitute:

`|AB|=√((-3-3)^2+(-6-2)^2)=√((-6)^2+(-8)^2)\\\\=√(36+64)=√(100)=10`
Answer: B) 10.