Answer:
13
Step-by-step explanation:
To find the distance, d, between two points on the Cartesian plane use the distance formula.
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
The points are (3, -4) and (8, 8), so you can use:
x1 = 3
y1 = -4
x2 = 8
y2 = 8
Now plug in all values above in the formula and evaluate it.
[tex] d = \sqrt{(8 - 3)^2 + [8 - (-4)]^2} [/tex]
[tex] d = \sqrt{(5)^2 + (8 + 4)^2} [/tex]
[tex] d = \sqrt{25 + (12)^2} [/tex]
[tex] d = \sqrt{25 + 144} [/tex]
[tex] d = \sqrt{169} [/tex]
[tex] d = \sqrt{13} [/tex]
