Answer:
The answer is
12.2 units
Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-9,8) and (3,6)
The distance between them is
[tex]d = \sqrt{ ({ - 9 -3 })^{2} + ({8 - 6})^{2} } \\ = \sqrt{ ({ - 12})^{2} + {2}^{2} } \\ = \sqrt{144 + 4} \\ = \sqrt{148} \: \: \: \: \: \: \: \: \\ = 2 \sqrt{37} \: \: \: \: \: \: \: \: \\ = 12.1655...[/tex]
We have the final answer as
12.2 units
Hope this helps you
