Question

Using the Distance Formula, find the distance between points (-1, -7) and (-3,-5) to the nearest tenth.

O 12.2
O 12.6
O 4.5
O 2.8

Answer 1

The answer is

2.8

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

(-1, -7) and (-3,-5)

The distance between them is

`d = \sqrt{ ({ - 1 + 3})^(2) + ({ - 7 + 5})^(2) } \\ = \sqrt{ { 2}^(2) + ( { - 2})^(2) } \\ = √(4 + 4) \: \: \: \: \: \: \: \: \: \: \: \\ = √(8) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 2 √(2) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 2.8284271247`

We have the final answer as

2.8 units to the nearest tenth

Hope this helps you