Question

Find the distance between the points (-3, 5) and (7, -1), round the nearest 10th, if nessasary.

Answer 1

The answer is 11.7 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, 5) and (7, -1)

The distance between them is

`d = \sqrt{ ({ - 3 - 7})^(2) + ({5 + 1})^(2) } \\ = \sqrt{( { - 10})^(2) + {6}^(2) } \\ = √(100 + 36) \: \: \: \: \: \: \: \\ = √(136) \\ = 2 √(34) \\ = 11.66190378...`

We have the final answer as

11.7 units to the nearest tenth

Hope this helps you