Answer:
C
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = E(- 2, 2) and (x₂, y₂ ) = F(4, - 6)
EF = [tex]\sqrt{(4+2)^2+(-6-2)^2}[/tex]
= [tex]\sqrt{6^2+(-8)^2}[/tex]
= [tex]\sqrt{36+64}[/tex]
= [tex]\sqrt{100}[/tex] = 10 → C