Question

What is the distance between (8,-3) and (4,-7) ?​

Answer 1

The answer is

`4 √(2) \: \: \: or \: \: 5.656 \: \: \: 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

(8,-3) and (4,-7)

The distance between them is

`d = \sqrt{ ({8 - 4})^(2) + ({ - 3 + 7})^(2) } \\ = \sqrt{ ({4})^(2) + ( { - 4})^(2) } \\ = √(16 + 16) \\ = √(32)`

We have the final answer as

`4 √(2) \: \: \: or \: \: 5.656 \: \: \: units`

Hope this helps you