Answer:
[tex]\sqrt{26}[/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 ) = (- 3, 3) and (x₂, y₂ ) = (2, 2)
d = [tex]\sqrt{(2+3)^2+(2-3)^2}[/tex]
= [tex]\sqrt{5^2+(-1)^2}[/tex]
= [tex]\sqrt{25+1}[/tex]
= [tex]\sqrt{26}[/tex]