what is the length of segment ac?

Explanation:

Step1: Identify coordinates

Let's assume point $A=(3, - 1)$ and point $C=(-5,5)$ from the graph.

Step2: Use distance - formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here $x_1 = 3,y_1=-1,x_2=-5,y_2 = 5$. [ \begin{align*} d&=\sqrt{(-5 - 3)^2+(5+1)^2}\ &=\sqrt{(-8)^2+6^2}\ &=\sqrt{64 + 36}\ &=\sqrt{100}\ &=10 \end{align*} ]

Answer:

10