Question

A segment has one endpoint at the origin O and the other endpoint at A(12,36). If point B is located on OA such that OA/BA=3 then which of the following are the coordinates of B?
(1) (4,12) (2) (9,27) (3) (8,24) (4) (36,108)

Answer 1

The distance between (8, 24) and (12, 36) is one-third of the distance between (0, 0) and (12, 36).

How to find the coordinates of point B?

We know that:

• O = (0, 0)
• A = (12, 36).

And point B is between these two, such that:

OA/BA = 3

Meaning, OA is 3 times BA.

Now, if we apply a factor of 1/3 to point A, we get:

(12/3, 36/3) = (4, 12)

So, the distance between A and B is equal to the distance between the origin and (4, 12) (a change of 4 units in the x-component and 12 units in the y-component).

The point that meets that condition is (8, 24), which is given by multiplying by 2 the previous coordinates.

The distance between (8, 24) and (12, 36) is one-third of the distance between (0, 0) and (12, 36).

If you want to learn more about distance, you can read:

brainly.com/question/7243416