Answer:
d ≈ 21.26 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 ) = (- 3, 8 ) and (x₂, y₂ ) = (13 - 6 )
d = [tex]\sqrt{13-(-3))^2+(-6-8)^2}[/tex]
= [tex]\sqrt{(13+3)^2+(-14)^2}[/tex]
= [tex]\sqrt{16^2+196}[/tex]
= [tex]\sqrt{256+196}[/tex]
= [tex]\sqrt{452}[/tex]
≈ 21.26 units ( to 2 dec. places )
