Question

Find the distance UV between the points U (7,-4) and V(-3,-6). Round your answers to the nearest tenth,if necessary

Answer 1

The answer is 10.2 units

Explanation:

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

`d = \sqrt{ ({x1 - x2})^(2) + ({y1 - y2})^(2) } \\`

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

`|UV| = \sqrt{( {7 + 3})^(2) + ( { - 4 + 6})^(2) } \\ = \sqrt{ {10}^(2) + {2}^(2) } \\ = √(100 + 4) \: \\ = √(104) \: \: \: \: \: \: \: \: \\ = 2 √(26) \: \: \: \: \: \: \: \: \\ = 10.1980...`

We have the final answer as

10.2 units to the nearest tenth

Hope this helps you