Answer:
3[tex]\sqrt{10}[/tex] ≈ 9.45
Step-by-step explanation:
calculate the distance d between the points using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 1, 8 ) and (x₂, y₂ ) = (8, 5 )
d = [tex]\sqrt{(8-(-1))^2+(5-8)^2}[/tex]
= [tex]\sqrt{(8+1)^2+(-3)^2}[/tex]
= [tex]\sqrt{9^2+9}[/tex]
= [tex]\sqrt{81+9}[/tex]
= [tex]\sqrt{90}[/tex]
= [tex]\sqrt{9(10)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{10}[/tex]
= 3[tex]\sqrt{10}[/tex] ← exact value
≈ 9.49 ( to 2 dec. places )
