Respuesta :

Answer:

The exact distance from (−5, 1) to (3, 0) is of [tex]\sqrt{65}[/tex] units

Step-by-step explanation:

Suppose we have two points:

[tex]A = (x_{1}, y_{1})[/tex]

[tex]B = (x_{2}, y_{2})[/tex]

The distance between these points is, in units:

[tex]D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]

Distance from (−5, 1) to (3, 0)?

[tex]D = \sqrt{(3 - (-5))^{2} + (0 - 1)^{2}} = \sqrt{64 + 1} = \sqrt{65}[/tex]

The exact distance from (−5, 1) to (3, 0) is of [tex]\sqrt{65}[/tex] units

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