Grace has a segment with endpoints A(3, 2) and B(6, 11) that is partitioned by a point C such that AC and BC form a 2:3 ratio. She knows that the distance between the x-coordinates is 3 units. Which of the following fractions will let her find the x-coordinate for point C?

Question

hartnn · Answer

Posting the options would help.

Posting your attempt to solve it, would help even more :)

anonymous · Answer

@hartnn  3 over 5
 3 over 2
 2 over 3
 2 over 5

anonymous · Answer

I also need help with some other problems if you could help me with those as well @hartnn

hartnn · Answer

"She knows that the distance between the x-coordinates is 3 units"
which 2 x co-ordinates?

you can find the x co-ordinate of C just from the information before that statement... 

"which fraction" ... I'm sorry, i am not sure i understand the question correctly...
let me tag someone.... 

@SolomonZelman @mathmate

anonymous · Answer

Can you help with others for now?
There isn't many

mathmate · Answer

|dw:1431970017046:dw|
As @hartnn said, the sentence "She knows..." is irrelevant.
The question wants to know the fraction we need to calculate the position of C.

mathmate · Answer

|dw:1431970183130:dw|
Since AC:CB=2:3, and we know the length of AB
then AC:AB=2:(2+3)=2:5  will help us find the x-coordinates of C