Respuesta :

Answer:

The answer is

[tex] \sqrt{13} \: \: units[/tex]

Step-by-step explanation:

To find the distance between two points

use the formula

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

where

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

From the question

The points are (-1,5) and (2,3)

Substitute the values into the above formula

That's

The distance between (-1,5) and (2,3) is

[tex] \sqrt{( { - 1 - 2})^{2} + ( {5 - 3})^{2} } [/tex]

[tex] = \sqrt{ ({ - 3})^{2} + {2}^{2} } [/tex]

[tex] = \sqrt{9 + 4} [/tex]

We have the final answer as

[tex] \sqrt{13} \: \: units[/tex]

Hope this helps you

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