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