Question

Find the distance between the points (-6,-8) and (-2,0). The answer must be a whole number or a fully simplified radical expression do not round up

Answer 1

The answer is

`4 √(5) \: \: \: 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

(-6,-8) and (-2,0)

The distance between them is

`d = \sqrt{ ({ - 6 + 2})^(2) + ({ - 8 - 0})^(2) } \\ = \sqrt{ ({ - 4})^(2) + ({ - 8})^(2) } \\ = √(16 + 64) \\ = √(80)`

We have the final answer as

`4 √(5) \: \: \: units`

Hope this helps you