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- Godlovesme

help pleasee
A segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B.
(3.8, 6.8)
(3.9, 4.8)
(4.2, 5.6)
(4.3, 5.9)

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- Godlovesme

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- Godlovesme

@acxbox22 help :)

- Godlovesme

@Data_LG2 help please ):

- anonymous

2 equation, 2unknows
The distance between the points is known, let it be d
So the distance A and B =2d/3...1
The distance BC =d/3
By these two eqautions, both unknowns(x,y coordinates) can be found

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- Godlovesme

sorry but im very confused :/

- anonymous

|dw:1435170718051:dw|

- Godlovesme

so i wou;f multiply the x coordinates by 2/5 ?

- anonymous

I'm not sure if what you're is okay, but surely the distance will device to 3 parts, not 5. That is, one third and two thirds

- anonymous

@Data_LG2 try to build on that :)

- anonymous

hmm I'm thinking of a different way but I get what you mean.. I'll try your method and see if I'll get the same thing.

- Godlovesme

were u talking to me? @Data_LG2

- anonymous

oops sorry, I'm talking to ahmad..
and no, it shouldn't be 2/5.
distance of AB= 2/3 and BC= 1/3

- Godlovesme

ohhh but wouldnt u add 2 and 3?

- anonymous

no, because it is not exactly referring to the actual distance. It only shows the scale on how far is A to B and C to B

- Godlovesme

ok gotcha so whats next?

- anonymous

oops sorry I lost my connection
So we'll do the x-coordinate first, bx.
(bx-ax) : (cx - bx ) = 2 : 3
(bx - 3): ( 5 - bx) = 2:3
it will be
3(bx-3) = 2(5-bx)
3bx - 9 = 10 -2 bx
5 bx = 19
bx = 19/5
Now, you do the same thing for by

- Godlovesme

ok one sec

- Godlovesme

(by-ay) : (cy-by) = 1:3
(by-4) : (11-by) = 1:3
sorry im really bad at this .. need a little help on the next step.. ):

- anonymous

(by-ay) : (cy-by) = 2:3
(by-4) : (11-by) = 2:3
I think the easiest way for you is turn the ratios into fraction
|dw:1435173012809:dw|

- Godlovesme

ohhhh gotcha , im so dumb lol

- anonymous

nahh , you just need a lot of practice :)

- Godlovesme

2(11-by) = 3(by-4)
22-2by = 3by -12
22+12 -2by-2by = 3by+2by -12+12
5by /5 = 34 /5
by = 6.8 :D

- anonymous

good job ! :P

- Godlovesme

thank you soo much :DD i really appreciate ur help (:

- Godlovesme

well bye for now thank you again c:

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