Respuesta :

Answer:

The answer is

[tex]\sqrt{17} \: \: \: 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 ( 2 , 4 )

The distance between them is

[tex]d = \sqrt{ ({ - 2 - 2})^{2} + ({ 3 - 4})^{2} } \\ = \sqrt{ ({ - 4})^{2} + ( { - 1})^{2} } \\ = \sqrt{16 + 1} \\ = \sqrt{17} \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{17} \: \: \: units[/tex]

Hope this helps you

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