Question

What is the distance between 5,4 and -1,1

Answer 1

Answer:

3$\sqrt{5}$

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 ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)

d = $\sqrt{(-1-5)^2+(1-4)^2}$

   = $\sqrt{(-6)^2+(-3)^2}$

   = $\sqrt{36+9}$

   = $\sqrt{45}$

   = 3$\sqrt{5}$ ← exact value

   ≈ 6.71 ( to 2 dec. places )