Question

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

Answer 1

Answer:

The answer is

$4 \sqrt{2} \: \: \: or \: \: 5.656 \: \: \: units$

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

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

The distance between them is

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

We have the final answer as

$4 \sqrt{2} \: \: \: or \: \: 5.656 \: \: \: units$

Hope this helps you