Question

What is the distance between the origin of a Cartesian coordinate system and the point (-5, -8)?

Answer 1

The origin has coordinaes `(0,0)` so you can use, for your distance `d`, the relationship (which is a way of using Pythagora's Theorem in the Cartesian Plane):
`d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)`
Giving:
`d=sqrt((-5-0)^2+(-8-0)^2)=9.4`