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anonymous

  • one year ago

If E partitions CD by a ratio of 1/8, then which of the following could be the location of E?

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  1. anonymous
    • one year ago
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    -7 -5 -3 -1

  2. whpalmer4
    • one year ago
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    We're going to need a bit more information about CD!

  3. anonymous
    • one year ago
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    ok i attach the line

  4. anonymous
    • one year ago
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    \

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  5. anonymous
    • one year ago
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    @whpalmer4

  6. whpalmer4
    • one year ago
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    what is the length of CD?

  7. anonymous
    • one year ago
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    16?

  8. anonymous
    • one year ago
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    @whpalmer4 is that right ?

  9. whpalmer4
    • one year ago
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    Let me look!

  10. anonymous
    • one year ago
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    ok

  11. whpalmer4
    • one year ago
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    yes, that appears to be correct.

  12. whpalmer4
    • one year ago
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    are you sure that 1/8 is the ratio?

  13. anonymous
    • one year ago
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    yes it is

  14. whpalmer4
    • one year ago
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    because if it is, we won't land exactly on any of those numbers in the answer choices

  15. anonymous
    • one year ago
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    did you see the picture i attached?

  16. whpalmer4
    • one year ago
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    we have 16 units to divide into 1+8=9 parts, and then we'll take 1/9 of those parts from an endpoint to find our partition.

  17. anonymous
    • one year ago
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    ok so how do i do that?

  18. whpalmer4
    • one year ago
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    possibly the problem expects you to choose -7 as your answer, but that isn't strictly speaking correct. partition CD by 1/8 means that CE and ED have the ratio 1:8, which means we must chop CD into 9 equal parts, and place E 1 part toward D from C. CD goes from -9 to +7 in your diagram, which is a total of 16 units. 16/(8+1) = 16/9 and neither 1*16/9 nor 8*16/9 is a round number, yet all the answer choices are round numbers.

  19. whpalmer4
    • one year ago
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    16/9 = 1.77777777... so if we add -9 + 1.777777... we get -7.22222... which is close to -7, but not the same. But all the other answers are even further removed from the 1/8 point, so that's the best of the bunch, I suppose.

  20. anonymous
    • one year ago
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    ok that makes sense maybe were supposed to round

  21. whpalmer4
    • one year ago
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    If the ratio was 1/7, then we could do the problem correctly. CD is 16 units long, divided into 1+7=8 parts gives us 2 units per part. Our ratio calls for us to go 1 part = 2 units toward D from C, so -9 + 2 = -7 and that is exactly what one of the answer is. That's what made me ask if you had copied the problem correctly (you had, but I think the problem is incorrect. It happens much more often than it should, given what textbook publishers charge!)

  22. whpalmer4
    • one year ago
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    Anyhow, do you at least understand how I worked the problem?

  23. anonymous
    • one year ago
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    yes i do thank you so much ill put -7 but ill eamil my teacher

  24. whpalmer4
    • one year ago
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    Yes, that would be good. If they insist that the problem is correct as written, let me know and I will supply you with some problems for them that demonstrate the flaw in their understanding :-)

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