Respuesta :

Answer:

The answer is

[tex] \sqrt{41} \: \: or \: \: \: 6.403 \: \: \: 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, -5) and (2, 0)

The distance is

[tex]d = \sqrt{ ({ - 6 - 2})^{2} + ({ - 5 - 0})^{2} } \\ = \sqrt{ ({ - 4})^{2} + ({ - 5})^{2} } \\ = \sqrt{16 + 25} \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{41} \: \: or \: \: \: 6.403 \: \: \: units[/tex]

Hope this helps you