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