Answer:
The answer is
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
(8, -4), (-7, 6)
We have
[tex]d = \sqrt{( {8 + 7})^{2} + ({ - 4 - 6})^{2} } \\ = \sqrt{ {15}^{2} + ({ - 10})^{2} } \\ = \sqrt{225 + 100} \\ = \sqrt{325} \: \: \: \: \: \: \: \: \: \: \: \: \\ = 5 \sqrt{13} \: \: \: \: \: \: \: \: \: \: \: \: \\ =18.027756 ...[/tex]
We have the final answer as
[tex]5 \sqrt{13} \: \: \: \: or \: \: \: \: 18.03 \: \: \: \: units[/tex]
Hope this helps you
