Answer:
C:12.65
Step-by-step explanation:
Use the distance formula:
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_1 - y_1)^2} [/tex]
x1 = 4, y1 = -2, x2 = 0, y2 = 10
[tex] d = \sqrt{(0 - 4)^2 + (10 - (-2))^2} [/tex]
[tex] d = \sqrt{(- 4)^2 + (12)^2} [/tex]
[tex] d = \sqrt{16 + 144} [/tex]
[tex] d = \sqrt{160} [/tex]
[tex] d = 12.65 [/tex]
Answer: C: 12.65
