Question

(3,8) (9,10) find distance between the two points. show work plz

Answer 1

Answer:

2$\sqrt{10}$

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 )  (3, 8) and (x₂, y₂ ) = (9, 10)

d = $\sqrt{(9-3)^2+(10-8)^2}$

   = $\sqrt{6^2+2^2}$

   = $\sqrt{36+4}$

   = $\sqrt{40}$

   = 2$\sqrt{10}$ ← exact distance

   ≈ 6.32 ( to 2 dec. places )