Answer:
[tex]\sqrt{61}[/tex]
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 ) = (- 2,- 4) and (x₂, y₂ ) = (4, 1)
d = [tex]\sqrt{(4-(-2))^2+(1-(-4))^2}[/tex]
= [tex]\sqrt{(4+2)^2+(1+4)^2}[/tex]
= [tex]\sqrt{6^2+5^2}[/tex]
= [tex]\sqrt{36+25}[/tex]
= [tex]\sqrt{61}[/tex]
