Question

Find the distance between the points (-1,-7) and (8,-9). The answer must be a whole number or a fully simplified radical expression do not round up

Answer 1

The answer is

`√(85) \: \: \: 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

(-1,-7) and (8,-9)

The distance between them is

`d = \sqrt{( { - 1 - 8})^(2) + ({ - 7 + 9})^(2) } \\ = \sqrt{ ({ - 9})^(2) + {2}^(2) } \\ = √(81 + 4)`

We have the final answer as

`√(85) \: \: \: units`

Hope this helps you