Answer:
The answer is
[tex]\sqrt{265} \: \: or \: \: 16.28 \: \: \: \: 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
(9,-8) and (-7,-5)
The distance between them is
[tex]d = \sqrt{ ({9 + 7})^{2} + ({ - 8 + 5})^{2} } \\ = \sqrt{ {16}^{2} + ( { - 3})^{2} } \\ = \sqrt{256 + 9} \: \: \: \: \: \: \: \: \: \\ = \sqrt{265} \: \: \: \: \: \: \\ = 16.27882[/tex]
We have the final answer as
[tex] \sqrt{265} \: \: or \: \: 16.28 \: \: \: \: units[/tex]
Hope this helps you
