Answer:
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
R(7, –7) to U(–3, 2).
The distance between them is
[tex] |RU | = \sqrt{ ({7 + 3})^{2} + ( { - 7 - 2})^{2} } \\ = \sqrt{ {10}^{2} + ({ - 9})^{2} } \\ = \sqrt{100 + 81} \\ = \sqrt{181} \: \: \: \: \: \: \: \: \: \: \\ = 13.4536240...[/tex]
We have the final answer as
Hope this helps you