Answer:
2[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 ) = (- 2, 4) and (x₂, y₂ ) = (4, - 6)
d = [tex]\sqrt{(4+2)^2+(-6-4)^2}[/tex]
= [tex]\sqrt{6^2+(-10)^2\\}[/tex]
= [tex]\sqrt{36+100}[/tex]
= [tex]\sqrt{136}[/tex]
= [tex]\sqrt{4(34)}[/tex] = 2[tex]\sqrt{34}[/tex] ≈ 23.32 ( to 2 dec. places )
