Answer:
14.4222
Step-by-step explanation:
Distance between two points = √(x₂ – x₁)² + (y₂ – y₁)²
Distance between two points = √(6 – -2)² + (-5 – 7)²
√(6 – -2)² + (-5 – 7)²
√8² + (-12)²
√64 + 144
√208
14.4222
I hope this helps
Answer:
4[tex]\sqrt{13}[/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 ) = (- 2, 7) and (x₂, y₂ ) = (6, - 5)
d = [tex]\sqrt{(6-(-2))^2+(-5-7)^2}[/tex]
= [tex]\sqrt{6+2)^2+(-12)^2}[/tex]
= [tex]\sqrt{8^2+144}[/tex]
= [tex]\sqrt{64+144}[/tex]
= [tex]\sqrt{208}[/tex]
= [tex]\sqrt{16(13)}[/tex]
= 4[tex]\sqrt{13}[/tex]
