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QUESTION IMAGE

2. find ac 3. find ac

Question

  1. find ac
  2. find ac

Explanation:

Step1: Identify coordinates

For the first graph, assume $A(-1,4)$ and $C(0, - 5)$.

Step2: Use distance formula

$d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$, so $AC=\sqrt{(0 + 1)^2+(-5 - 4)^2}=\sqrt{1 + 81}=\sqrt{82}$.
For the second graph, assume $A(-2,-3)$ and $C(3,1)$. Then $AC=\sqrt{(3 + 2)^2+(1+3)^2}=\sqrt{25 + 16}=\sqrt{41}$.

Answer:

For the first graph: $\sqrt{82}$
For the second graph: $\sqrt{41}$