Respuesta :

Answer:

d=4√2

Step-by-step explanation:

[tex]3,2) = (x_1,y_1) \\

(6,6) = (x_2 , y_2)[/tex]

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

Plug in values into the equation

[tex]d = \sqrt{ {(6 - 2)}^{2} + {(6 - 2)}^{2} } \\ d = \sqrt{ {(4)}^{2} + {(4)}^{2} } \\ d = \sqrt{16 + 16} \\[/tex]

[tex]d = \sqrt{32} \\ d = 4 \sqrt{2} [/tex]

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