Question

What is the distance between points (8,3) and (53,31) on a coordinate plane?

Answer 1

Answer:

53 units

Step-by-step explanation:

Let $(x_1,y_1)\rightarrow(8,3)$ and $(x_2,y_2)\rightarrow(53,31)$ to use the distance formula:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(31-3)^2+(53-8)^2}\\\\d=\sqrt{(28)^2+(45)^2}\\\\d=\sqrt{784+2025}\\\\d=\sqrt{2809}\\\\d=53$

Thus, the distance between the two points is 53 units