Question

Find the distance between the points (-2,4) and (4,-6)

Answer 1

Answer:

2$\sqrt{34}$

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (4, - 6)

d = $\sqrt{(4+2)^2+(-6-4)^2}$

  = $\sqrt{6^2+(-10)^2\\}$

  = $\sqrt{36+100}$

  = $\sqrt{136}$

  = $\sqrt{4(34)}$ = 2$\sqrt{34}$ ≈ 23.32 ( to 2 dec. places )