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.