Answer:
[tex]\sqrt{2}[/tex] ≈ 1.414
Step-by-step explanation:
Calculate the distance d using the distance firmula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (- 4, 1)
d = [tex]\sqrt{(-4+5)^2+(1-0)^2}[/tex]
= [tex]\sqrt{1^2+1^2}[/tex]
= [tex]\sqrt{2}[/tex] ≈ 1.414 ( to 3 dec. places )