Answer:
The answer is
[tex]\sqrt{145} \: \: \: or \: \: \: 12.04 \: \: \: \: units[/tex]
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
(2, 7) and (-6, -2)
The distance between them is
[tex]d = \sqrt{( {2 + 6})^{2} + ({7 + 2})^{2} } \\ = \sqrt{ {8}^{2} + {9}^{2} } \\ = \sqrt{64 + 81} \\ = \sqrt{145} \\ = 12.0415...[/tex]
We have the final answer as
[tex] \sqrt{145} \: \: \: or \: \: \: 12.04 \: \: \: \: units [/tex]
Hope this helps you
