Answer:
[tex]\sqrt{85}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 4 ) and (x₂, y₂ ) = (- 6, - 3)
d = [tex]\sqrt{(-6-0)^2+(-3-4)^2}[/tex]
= [tex]\sqrt{(-6)^2+(-7)^2}[/tex]
= [tex]\sqrt{36+49}[/tex]
= [tex]\sqrt{85[/tex] ← exact distance
