Answer
$d=\sqrt{34}
\text{ units}
$
Work Step by Step
Using the Distance Formula, $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$, the distance between $
(10,-14) \text{ and } (5,-11)
$ is
\begin{array}{l}
d=\sqrt{(10-5)^2+(-14-(-11))^2}
\\\\
d=\sqrt{25+9}
\\\\
d=\sqrt{34}
\text{ units}
.\end{array}