Answer:
The answer is
[tex] \sqrt{593} \: \: or \: \: 24.35 \: \: \: units[/tex]
Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(5,14) and (-3,-9)
The distance is
[tex]d = \sqrt{ ({5 + 3})^{2} + ({14 + 9})^{2} } \\ = \sqrt{ {8}^{2} + {23}^{2} } \\ = \sqrt{64 + 529} \\ = \sqrt{593} \: \: \: \: \: \: \: \: \: \: \\ = 24.3515913[/tex]
We have the final answer as
[tex] \sqrt{593} \: \: or \: \: 24.35 \: \: \: units[/tex]
Hope this helps you
