#### Answer

$d=5
\text{ units}
$

#### Work Step by Step

Using $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ or the Distance Formula, then the distance, $d$, between the given points $(
2,-2
)$ and $(
5,2
)$ is
\begin{array}{l}\require{cancel}
d=\sqrt{(2-5)^2+(-2-2)^2}
\\\\
d=\sqrt{(-3)^2+(-4)^2}
\\\\
d=\sqrt{9+16}
\\\\
d=\sqrt{25}
\\\\
d=\sqrt{(5)^2}
\\\\
d=5
\text{ units}
.\end{array}