Question

What is the distance between (9,-4) and (-22, 8)?

Answer 1

Answer:

≈ 33.2 units

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 ) = (- 22, 8)

d = $\sqrt{(-22-9)^2+(8+4)^2}$

   = $\sqrt{(-31)^2+12^2}$

   = $\sqrt{961+144}$

    = $\sqrt{1105}$ ≈ 33.2 ( to 1 dec. place )