Answer:
The answer is
[tex]5 \sqrt{2} \: \: \: \: 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
(2, 3) and (-3, -2)
The distance between them is
[tex]d = \sqrt{( {2 + 3})^{2} + ({3 + 2})^{2} } \\ = \sqrt{ {5}^{2} + {5}^{2} } \\ = \sqrt{25 + 25} \\ = \sqrt{50} \\ = 5 \sqrt{2} [/tex]
We have the final answer as
[tex]5 \sqrt{2} \: \: \: \: units[/tex]
Hope this helps you
