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

Step-by-step explanation:

The distance between points is given by the distance formula:

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