Question

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

Answer 1

Answer:

The answer is

2.8

Step-by-step 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

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

We have the final answer as

2.8 units to the nearest tenth

Hope this helps you