Answer:
XY ≈ 11.7 units
Step-by-step explanation:
Calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = X (- 4, 3) and (x₂, y₂ ) = Y (2, - 7)
XY = [tex]\sqrt{(2+4)^2+(-7-3)^2}[/tex]
= [tex]\sqrt{6^2+(-10)^2}[/tex]
= [tex]\sqrt{36+100}[/tex]
= [tex]\sqrt{136}[/tex]
≈ 11.7 ( to the nearest tenth )
