Question

What is the distance between (2, 7) and (-6, -2)?

Answer 1

The answer is

`√(145) \: \: \: or \: \: \: 12.04 \: \: \: \: units`

Explanation:

The distance between two points can be found by using the formula

`d = \sqrt{ ({x_1 - x_2})^(2) + ({y_1 - y_2})^(2) } \\`

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2, 7) and (-6, -2)

The distance between them is

`d = \sqrt{( {2 + 6})^(2) + ({7 + 2})^(2) } \\ = \sqrt{ {8}^(2) + {9}^(2) } \\ = √(64 + 81) \\ = √(145) \\ = 12.0415...`

We have the final answer as

`√(145) \: \: \: or \: \: \: 12.04 \: \: \: \: units`

Hope this helps you