Question

Find the distance between each set of points. Round to the nearest tenth, when necessary. (-3, 2) and (1, -6)

Answer 1

The answer is 8.9 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

(-3, 2) and (1, -6)

The distance between them is

`d = \sqrt{ ({ - 3 - 1})^(2) + ({2 + 6})^(2) } \\ = \sqrt{ ({ - 4})^(2) + {8}^(2) } \\ = √(16 + 64) \\ = √(80) \: \: \: \: \: \: \: \: \: \: \\ = 4 √(5) \: \: \: \: \: \: \: \: \: \: \\ = 8.9442719...`

We have the final answer as

8.9 units to the nearest tenth

Hope this helps you