Respuesta :

Answer:

The answer is

[tex]\sqrt{89} \: \: \: \: units \\ [/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]

where

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

From the question the points are

(7,2) and (-1, -3)

The distance between them is

[tex]d = \sqrt{( {7 + 1})^{2} + ({2 + 3})^{2} } \\ = \sqrt{ {8}^{2} + {5}^{2} } \\ = \sqrt{64 + 25} \\ = \sqrt{89} \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{89} \: \: \: \: units \\ [/tex]

Hope this helps you

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