Question

Find the distance between the points (4,-9) and (-6,-10)

Answer 1

The answer is

`√(101) \: \: \: or \: \: \: 10.05 \: \: \: \: 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

(4,-9) and (-6,-10)

The distance between them is

`d = \sqrt{ ({4 + 6})^(2) + ( { - 9 + 10})^(2) } \\ = \sqrt{ {10}^(2) + {1}^(2) } \\ = √(100 + 1) \: \: \\ = √(101) \: \: \: \: \: \: \: \: \: \\ = 10.04987...`

We have the final answer as

`√(101) \: \: \: or \: \: \: 10.05 \: \: \: \: units`

Hope this helps you