Question

Find the distance between the two points in simplest radical form. (9,-4) and (5,3)

Answer 1

Answer:

$\sqrt{65}$

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 ( = (9, - 4) and (x₂, y₂ ) = (5, 3)

d = $\sqrt{(5-9)^2+(3-(-4))^2}$

   = $\sqrt{(-4)^2+(3+4)^2}$

   = $\sqrt{16+7^2}$

   = $\sqrt{16+49}$

   = $\sqrt{65}$