Respuesta :

kkfoug

Answer:

22.4722

Step-by-step explanation:

To answer this question we need to use the distance formula. The distance formula is as follows:

[tex]d = \sqrt{(x2 - x1)^2+(y2 - y1)^2}[/tex]

Now, let's identify what each variable is:

x2 = 13

x1 = -8

y2 = -1

y1 = 7

Next, let's put these into the equation:

[tex]d = \sqrt{(13 - (-8))^2 + (-1 -7)^2}[/tex]

Time to solve the equation:

[tex]d = \sqrt{(21)^2+(-8)^2} \\d = \sqrt{441 + 64} \\d = \sqrt{505} \\d = 22.4722[/tex]

Therefore, the distance between the points of (-8,7) and (13,1) is 22.4722.

I hope this helps!!

- Kay :)