Respuesta :
Answer:
25.6
Step-by-step explanation:
Use the distance formula.
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-8 - 5)^2 + (-9-13)^2}\\d = \sqrt{(-13)^2 + (-22)^2}\\d = \sqrt{169 + 484}\\d = \sqrt{653}[/tex]
The distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.
What is a distance formula?
It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have two points (5, 13) and (-8, -9)
[tex]\rm d=\sqrt{(-8-5)^2+(-9-13)^2}[/tex]
d = √(169+484)
d = 25.55 units ≈ 25.6 units
Thus, the distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.
Learn more about the distance formula here:
brainly.com/question/18296211
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