Question

e between each pair of points. 2) ab = \sqrt{(-4 - (-9))^{2}+(2 - (-9))^{2}}

Explanation:

Step1: Simplify the expressions inside parentheses

First, simplify $-4-(-9)$ and $2 - (-9)$.
$-4-(-9)=-4 + 9=5$ and $2-(-9)=2 + 9 = 11$.
So the formula becomes $AB=\sqrt{5^{2}+11^{2}}$.

Step2: Calculate the squares and sum

Calculate $5^{2}=25$ and $11^{2}=121$. Then find their sum: $25 + 121=146$.
So $AB=\sqrt{146}$.

Answer:

$\sqrt{146}$