Godlovesme
  • 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)
Mathematics
chestercat
  • chestercat
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Godlovesme
  • Godlovesme
@acxbox22 help :)
Godlovesme
  • Godlovesme
@Data_LG2 help please ):
anonymous
  • 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
  • Godlovesme
sorry but im very confused :/
anonymous
  • anonymous
|dw:1435170718051:dw|
Godlovesme
  • Godlovesme
so i wou;f multiply the x coordinates by 2/5 ?
anonymous
  • 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
  • anonymous
@Data_LG2 try to build on that :)
anonymous
  • 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
  • Godlovesme
were u talking to me? @Data_LG2
anonymous
  • 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
  • Godlovesme
ohhh but wouldnt u add 2 and 3?
anonymous
  • 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
  • Godlovesme
ok gotcha so whats next?
anonymous
  • 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
  • Godlovesme
ok one sec
Godlovesme
  • 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
  • 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
  • Godlovesme
ohhhh gotcha , im so dumb lol
anonymous
  • anonymous
nahh , you just need a lot of practice :)
Godlovesme
  • 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
  • anonymous
good job ! :P
Godlovesme
  • Godlovesme
thank you soo much :DD i really appreciate ur help (:
Godlovesme
  • Godlovesme
well bye for now thank you again c:

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