Answer:
5[tex]\sqrt{2}[/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, 2 ) and (x₂, y₂ ) = (7, 7 )
d = [tex]\sqrt{(7-2)^2+(7-2)^2}[/tex]
= [tex]\sqrt{5^2+5^2}[/tex]
= [tex]\sqrt{25+25}[/tex]
= [tex]\sqrt{50}[/tex]
= [tex]\sqrt{25(2)}[/tex]
= [tex]\sqrt{25}[/tex] × [tex]\sqrt{2}[/tex] = 5[tex]\sqrt{2}[/tex] ≈ 7.07 ( to 2 dec. places )
