Question

What’s the distance between the two points in simplest radical form R(-8,-3) and S(-1,-4)

Answer 1

Answer:

5$\sqrt{2}$

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 8, - 3) and (x₂, y₂ ) = (- 1, - 4)

d = $\sqrt{(-1+8)^2+(-4+3)^2}$

  = $\sqrt{7^2+(-1)^2}$

  = $\sqrt{49+1}$ = $\sqrt{50}$ = $\sqrt{25(2)}$ = 5$\sqrt{2}$