Respuesta :

Answer: 10

Step-by-step explanation:

using [tex]d = \sqrt{(x_{1}-x_{2} )^{2} +(y_{1}- y_{2} )^{2} }[/tex] when [tex]P_{1} =(x_{1} ,y_{1} )[/tex] and [tex]P_{2} = (x_{2}, y_{2})[/tex]

so [tex]d = \sqrt{((-4)-4)^{2}+((-9)-(-3))^{2} }[/tex]

[tex]d = \sqrt{(-4-4)^{2}+(-9+3)^{2} }[/tex]

[tex]d = \sqrt{(-8)^{2}+(-6)^{2} }[/tex]

[tex]d = \sqrt{64+36}[/tex]

[tex]d= \sqrt{100}[/tex]

[tex]d = 10[/tex]

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