Respuesta :

Answer: third option.

Step-by-step explanation:

You need to use the formula for calculate the distance between two points:

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

Given the points (0,9) (-8,-4), you can subsitutute each coordinate into the formula  [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] to calculate the distance between them.

Then, you get that the distance between these points is:

[tex]d=\sqrt{(-8-0)^2+(-4-9)^2}\\d=\sqrt{(-8)^2+(-13)^2}\\d=15.3[/tex]

This matches with the third option.

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