Question

1. find ac

Explanation:

Step1: Identify coordinates

Let \(A=( - 2,-3)\) and \(C=(2,1)\).

Step2: Use distance formula

The distance \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\), so \(AC=\sqrt{(2-( - 2))^2+(1-( - 3))^2}=\sqrt{(4)^2+(4)^2}=\sqrt{16 + 16}=\sqrt{32}=4\sqrt{2}\).

Answer:

\(4\sqrt{2}\)