Answer:
[tex]\sqrt{34}[/tex]
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (2, 7)
d = [tex]\sqrt{(2+1)^2+(7-2)^2}[/tex]
= [tex]\sqrt{3^2+5^2}[/tex]
= [tex]\sqrt{9+25}[/tex] = [tex]\sqrt{34}[/tex] ← exact distance
