Question

What is the distance from (6, -8) to the origin?

I need help with this as soon as possible!

Answer 1

P(6,4) means

6 on x axis

on y axis

therefore by pythagoras theoram

36+64=[hypotenus]2

hypotenus=root 100

therfore distance between the origin and the point is root 100

Answer 2

The distance between two points

`A=(x_1,y_1),\quad B=(x_2,y_2)`

is given by

`d = √((x_1-x_2)^2+(y_1-y_2)^2)`

as a direct application of Pythagorean theorem.

In your case, the points are

`A=(6,-8),\quad B=(0,0)`

So, the distance is

`d = √((6-0)^2+(-8-0)^2)=√(36+64)=√(100)=10`