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anonymous

  • one year ago

Douglas has a segment with endpoints I(5, 2) and J(9, 10) that is divided by a point K such that IK and KJ form a 2:3 ratio. He knows that the distance between the x-coordinates is 4 units. Which of the following fractions will let him find the x-coordinate for point K? A. 2/3 B. 2/5 C. 3/2 D. 3/5

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  1. anonymous
    • one year ago
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    @jim_thompson5910

  2. jim_thompson5910
    • one year ago
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    |dw:1441683778817:dw|

  3. jim_thompson5910
    • one year ago
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    |dw:1441683820093:dw|

  4. jim_thompson5910
    • one year ago
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    do you have something like this as your drawing so far?

  5. anonymous
    • one year ago
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    No, because I wasn't sure how to even start it.

  6. jim_thompson5910
    • one year ago
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    do you agree with the drawing?

  7. anonymous
    • one year ago
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    Yes.

  8. jim_thompson5910
    • one year ago
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    ok at this point, I'm stuck because I'm trying to figure out what they want exactly. Let me think

  9. madhu.mukherjee.946
    • one year ago
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    use the distance formula

  10. jim_thompson5910
    • one year ago
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    let's try this cut the horizontal distance into 5 equal pieces |dw:1441684123914:dw|

  11. jim_thompson5910
    • one year ago
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    the first 2 pieces will come from the ratio 2:3 so this is where K is located |dw:1441684195848:dw|

  12. anonymous
    • one year ago
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    So, does that mean that the answer is C?

  13. jim_thompson5910
    • one year ago
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    not sure yet

  14. anonymous
    • one year ago
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    3/2?

  15. jim_thompson5910
    • one year ago
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    let's see, if we cut that 4 into 5 equal parts, each piece is 4/5 |dw:1441684366181:dw|

  16. jim_thompson5910
    • one year ago
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    so 2*(4/5) = 8/5 |dw:1441684402390:dw|

  17. anonymous
    • one year ago
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    So does this mean that it's 3/5 now?

  18. jim_thompson5910
    • one year ago
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    I'm wondering if they want you to set up a proportion. Have previous problems used proportions at all before?

  19. anonymous
    • one year ago
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    Not that I know of.

  20. jim_thompson5910
    • one year ago
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    ok I'm thinking maybe you'd have a proportion in the form a/b = c/d the right side would be 2/5 because we go 2 parts over to get to the x coordinate of K, out of 5 parts total so we'd have a/b = 2/5 I'm not 100% sure on this one though

  21. anonymous
    • one year ago
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    Okay, I guess that's what I'll go with.

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