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)
`√(117)`

Work Shown:

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