Question

Find the distance between C(-2,-6) and D(4, -3).

Answer 1

Answer:

3$\sqrt{5}$

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = C(- 2, - 6) and (x₂, y₂ ) = D(4, - 3)

CD = $\sqrt{(4+2)^2+(-3+6)^2}$

     = $\sqrt{6^2+3^2}$

     = $\sqrt{36+9}$

     = $\sqrt{45}$ = $\sqrt{9(5)}$ = 3$\sqrt{5}$ ← exact value