Question

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

Answer 1

Answer:

The answer is 13.5 units

Step-by-step 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

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

We have the final answer as

13.5 units to the nearest tenth

Hope this helps you