Answer:
A
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = D(- 4, - 3) and (x₂, y₂ ) = E(- 5, 3)
d = [tex]\sqrt{(-5+4)^2+(3+3)^2}[/tex]
= [tex]\sqrt{(-1)^2+6^2}[/tex]
= [tex]\sqrt{1+36}[/tex]
= [tex]\sqrt{37}[/tex] ≈ 6.1 → A