Question

What is the distance between `(-45,-8)` and `(-37,2)`?

Answer 1

`2sqrt(41)`

Explanation:

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 `(-45,-8)` and `(x_2,y_2)` represent `(-37,2)`.
`implies d=sqrt((-37-(-45))^2+(2-(-8))^2`
`implies d=sqrt((-37+45)^2+(2+8)^2`
`implies d=sqrt((8)^2+(10)^2`
`implies d=sqrt(64+100)`
`implies d=2sqrt(16+25)`

`implies d=2sqrt(41)`

Hence the distance between the given points is `2sqrt(41)`.