Answer:
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
U (7,-4) and V(-3,-6)
The distance between them is
[tex] |UV| = \sqrt{( {7 + 3})^{2} + ( { - 4 + 6})^{2} } \\ = \sqrt{ {10}^{2} + {2}^{2} } \\ = \sqrt{100 + 4} \: \\ = \sqrt{104} \: \: \: \: \: \: \: \: \\ = 2 \sqrt{26} \: \: \: \: \: \: \: \: \\ = 10.1980...[/tex]
We have the final answer as
Hope this helps you
