Answer:
c ≈ 5.8 units
Step-by-step explanation:
Calculate c using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (2, - 1 ) and (x₂, y₂ ) = (- 1, 4 )
c = [tex]\sqrt{(-1-2})^2+(4-(-1))^2[/tex]
= [tex]\sqrt{(-3)^2+(4+1)^2}[/tex]
= [tex]\sqrt{9+5^2}[/tex]
= [tex]\sqrt{9+25}[/tex]
= [tex]\sqrt{34}[/tex]
≈ 5.8 units ( to the nearest tenth )
