Answer:
4[tex]\sqrt{2}[/tex] units
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, 7) and (x₂, y₂ ) = (- 1, 3)
d = [tex]\sqrt{(-1+5)^2+(3-7)^2}[/tex]
= [tex]\sqrt{4^2+(-4)^2}[/tex]
= [tex]\sqrt{16+16}[/tex]
= [tex]\sqrt{32}[/tex]
= 4[tex]\sqrt{2}[/tex] ≈ 5.66 ( to 2 decimal places )
