Answer:
5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 8, - 3) and (x₂, y₂ ) = (- 1, - 4)
d = [tex]\sqrt{(-1+8)^2+(-4+3)^2}[/tex]
= [tex]\sqrt{7^2+(-1)^2}[/tex]
= [tex]\sqrt{49+1}[/tex] = [tex]\sqrt{50}[/tex] = [tex]\sqrt{25(2)}[/tex] = 5[tex]\sqrt{2}[/tex]
