Answer:
[tex]9 \sqrt{2} \: \: \: or \: \: \: 12.73 \: \: \: \: 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
(-5,7) and (4,-2)
The distance between them is
[tex]d = \sqrt{ ({ - 5 - 4})^{2} + ({7 + 2})^{2} } \\ = \sqrt{( { - 9})^{2} + {9}^{2} } \\ = \sqrt{81 + 81} \\ = \sqrt{162} \: \: \: \: \: \: \: \: \\ = 9 \sqrt{2} \: \: \: \: \: \: \: \: \: \: \: \\ = 12.72792...[/tex]
We have the final answer as
[tex]9 \sqrt{2} \: \: \: or \: \: \: 12.73 \: \: \: \: units[/tex]
Hope this helps you
