someone please help me answer this correctly

Answer:
13 units is the answer.
Step-by-step explanation:
points (8,-4) and (3,8)
We can rewrite the Pythagorean theorem as,
[tex]d=\sqrt{(x_2 - x_1)^2+(y_2-y_1)^2} \\\\d= \sqrt{(3-8)^2 + (8-(-4))^2} \\\\d=\sqrt{(-5)^2 + (12)^2} \\\\d=\sqrt{25 + 144} \\\\d=\sqrt{169} \\\\d=13\\\\[/tex]
∴ distance between 2 points (8,-4) and (3,8) = 13 units.