Question

What is the exact distance between points a(-2, 7) and b(6,-5)

Answer 1

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 2

Answer:

4$\sqrt{13}$

Step-by-step explanation:

Calculate the distance d using the distance formula

d = $\sqrt{(x_{2}-x_{1 )^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (- 2, 7) and (x₂, y₂ ) = (6, - 5)

d = $\sqrt{(6-(-2))^2+(-5-7)^2}$

   = $\sqrt{6+2)^2+(-12)^2}$

   = $\sqrt{8^2+144}$

   = $\sqrt{64+144}$

   = $\sqrt{208}$

   = $\sqrt{16(13)}$

   = 4$\sqrt{13}$