Respuesta :

Answer:

The answer is

[tex] \sqrt{349} \: \: 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

(-7,-2) and (11,3)

The distance between the points is

[tex]d = \sqrt{ ({ - 7 - 11})^{2} + ({ - 2 - 3})^{2} } \\ = \sqrt{ ({ - 18})^{2} + ({ - 5})^{2} } \\ = \sqrt{324 + 25} \\ [/tex]

We have the final answer as

[tex] \sqrt{349} \: \: units[/tex]

Hope this helps you