Question

Find the distance, to the nearest tenth, from R(7, –7) to U(–3, 2).

Answer 1

The answer is 13.5 units

Explanation:

The distance between two points can be found by using the formula

`d = \sqrt{ ({x_1 - x_2})^(2) + ({y_1 - y_2})^(2) } \\`

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

`|RU | = \sqrt{ ({7 + 3})^(2) + ( { - 7 - 2})^(2) } \\ = \sqrt{ {10}^(2) + ({ - 9})^(2) } \\ = √(100 + 81) \\ = √(181) \: \: \: \: \: \: \: \: \: \: \\ = 13.4536240...`

We have the final answer as

13.5 units to the nearest tenth

Hope this helps you