Answer:
3[tex]\sqrt{5}[/tex]
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 = [tex]\sqrt{(4+2)^2+(-3+6)^2}[/tex]
= [tex]\sqrt{6^2+3^2}[/tex]
= [tex]\sqrt{36+9}[/tex]
= [tex]\sqrt{45}[/tex] = [tex]\sqrt{9(5)}[/tex] = 3[tex]\sqrt{5}[/tex] ← exact value
