Answer:
2[tex]\sqrt{10}[/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, 8) and (x₂, y₂ ) = (9, 10)
d = [tex]\sqrt{(9-3)^2+(10-8)^2}[/tex]
= [tex]\sqrt{6^2+2^2}[/tex]
= [tex]\sqrt{36+4}[/tex]
= [tex]\sqrt{40}[/tex]
= 2[tex]\sqrt{10}[/tex] ← exact distance
≈ 6.32 ( to 2 dec. places )
