Find the distance between the points (-6,-8) and (-2,0). The answer must be a whole number or a fully simplified radical expression do not round up

Respuesta :

Answer:

The answer is

[tex]4 \sqrt{5} \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6,-8) and (-2,0)

The distance between them is

[tex]d = \sqrt{ ({ - 6 + 2})^{2} + ({ - 8 - 0})^{2} } \\ = \sqrt{ ({ - 4})^{2} + ({ - 8})^{2} } \\ = \sqrt{16 + 64} \\ = \sqrt{80} [/tex]

We have the final answer as

[tex]4 \sqrt{5} \: \: \: units[/tex]

Hope this helps you