Question

Find the distance between the points (6, -4) and (0, 5). A. 117 B. 37 C. 313−−√ D. 37−−√

Answer 1

Answer:  Choice A)  $\sqrt{117}$

Work Shown:

$(x_1,y_1) = (6,-4) \text{ and } (x_2, y_2) = (0,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(6-0)^2 + (-4-5)^2}\\\\d = \sqrt{(6)^2 + (-9)^2}\\\\d = \sqrt{36 + 81}\\\\d = \sqrt{117}\\\\d = \sqrt{9*13}\\\\d = \sqrt{9}*\sqrt{13}\\\\d = 3\sqrt{13}\\\\d \approx 10.8167$