Question

Find the distance between (-7,-2) and (11,3)

Answer 1

The answer is

`√(349) \: \: 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

(-7,-2) and (11,3)

The distance between the points is

`d = \sqrt{ ({ - 7 - 11})^(2) + ({ - 2 - 3})^(2) } \\ = \sqrt{ ({ - 18})^(2) + ({ - 5})^(2) } \\ = √(324 + 25) \\`

We have the final answer as

`√(349) \: \: units`

Hope this helps you