Question

Find the distance between the two points in simplest radical form.

Answer 1

Answer:

3$\sqrt{13}$

Step-by-step explanation:

Calculate the distance using the distance formula

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

with (x₁, y₁ ) = (- 9, 8) and (x₂, y₂ ) = (- 3, - 1)

d = $\sqrt{(-3-(-9))^2+(-1-8)^2}$

  = $\sqrt{(-3+9)^2+(-9)^2}$

  = $\sqrt{6^2+81}$

   = $\sqrt{36+81}$

   = $\sqrt{117}$

   = $\sqrt{9(13)}$

   = $\sqrt{9}$ × $\sqrt{13}$

   = 3$\sqrt{13}$