Question

What is the distance between `(-10, 6)` and #(5, 2) #?

Answer 1

The distance formula for Cartesian coordinates is

`d=sqrt((x_2-x_1)^2+(y_2-y_1)^2`
Where `x_1, y_1`, and`x_2, y_2` are the Cartesian coordinates of two points respectively.
Let `(x_1,y_1)` represent `(-10,6)` and `(x_2,y_2)` represent `(5.2)`.
`implies d=sqrt((5-(-10))^2+(2-6)^2`
`implies d=sqrt((5+10)^2+(2-6)^2`
`implies d=sqrt((15)^2+(-4)^2`
`implies d=sqrt(225+16`
`implies d=sqrt(241`

Hence the distance between the given points is `sqrt(241)` units.