Question

Find the distance between the points (-2, 4) and (4, -6). 0 212 2/(10) O2V(34)

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

  = $\sqrt{6^2+(-10)^2}$

  = $\sqrt{36+100}$

  = $\sqrt{136}$ = $\sqrt{4(34)}$ = $\sqrt{4}$ × $\sqrt{34}$ = 2$\sqrt{34}$