Answer:
[tex]\sqrt{218}[/tex] ≈ 14.8
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 4, 6) and (x₂, y₂ ) = (3, - 7)
d = [tex]\sqrt{(3+4)^2+(-7-6)^2}[/tex]
= [tex]\sqrt{7^2+(-13)^2}[/tex]
= [tex]\sqrt{49+169}[/tex]
= [tex]\sqrt{218}[/tex] ≈ 14.8 ( to 1 dec. place )
square root of 218
(-4-3)^2 + (6+7)^2
= 49+169
= 218
Ans = square root of 218
