Question

Find the distance between the points (-74,-76) and (-35,4)

Answer 1

The answer is

`89 \: \: 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

(-74,-76) and (-35,4)

The distance between the points is

`d = \sqrt{( { - 74 + 35})^(2) + ({ - 76 - 4})^(2) } \\ = \sqrt{ ({ - 39})^(2) +( { - 80})^(2) } \\ = √(1521 + 6400) \\ = √(7921)`

We have the final answer as

`89 \: \: units`

Hope this helps you