Answer:
3[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Calculate the length (d) using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (7, - 5)
d = [tex]\sqrt{(7-4)^2+(-5-1)^2}[/tex]
= [tex]\sqrt{3^2+(-6)^2}[/tex]
= [tex]\sqrt{9+36}[/tex]
= [tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex]
= 3[tex]\sqrt{5}[/tex] ≈ 6.71 ( to 2 dec. places )
