Find the distance between (0,4) and (3,-1)

Answer:
see explanation
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, -4) and (x₂, y₂ ) = (3, - 1)
d = [tex]\sqrt{(3-0)^2+(-1+4)^2}[/tex]
= [tex]\sqrt{3^2+ 3^2}[/tex]
= [tex]\sqrt{9+9}[/tex]
= [tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex] ≈ 4.24 ( to 2 dec. places )