Answer:
The answer is
[tex]4 \sqrt{2} \: \: \: or \: \: 5.656 \: \: \: 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
(8,-3) and (4,-7)
The distance between them is
[tex]d = \sqrt{ ({8 - 4})^{2} + ({ - 3 + 7})^{2} } \\ = \sqrt{ ({4})^{2} + ( { - 4})^{2} } \\ = \sqrt{16 + 16} \\ = \sqrt{32} [/tex]
We have the final answer as
[tex]4 \sqrt{2} \: \: \: or \: \: 5.656 \: \: \: units[/tex]
Hope this helps you
