Question

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

Answer 1

53 units

Explanation:

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

`d=√((y_2-y_1)^2+(x_2-x_1)^2)\\\\d=√((31-3)^2+(53-8)^2)\\\\d=√((28)^2+(45)^2)\\\\d=√(784+2025)\\\\d=√(2809)\\\\d=53`

Thus, the distance between the two points is 53 units