Question

What is the distance between (7, 1) and (4, -5)?

Answer 1

The distance between those to points is d=6.708204 or d=6

Answer 2

9514 1404 393

Answer:

3√5 ≈ 6.708

Explanation:

The distance between points is given by the distance formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)\\\\d=√((4-7)^2+(-5-1)^2)=√((-3)^2+(-6)^2)\\\\d=√(9+36)=√(9\cdot5)\\\\\boxed{d=3√(5)\approx 6.708}`