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anonymous

  • one year ago

The midpoint of UV is (5,-11). One of the coordinates are U(3,5). Find V

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  1. freckles
    • one year ago
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    \[\text{ the midpoint of the line segment from point } (a,b) \text{ \to } (c,d) \text{ is } \\ (\frac{a+c}{2},\frac{b+d}{2})\]

  2. freckles
    • one year ago
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    you are given: \[\frac{3+c}{2} =5 \text{ and } \frac{5+d}{2}=-11\]

  3. freckles
    • one year ago
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    where (c,d) is point V

  4. anonymous
    • one year ago
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    Would I have to plug something into the formula? How would the end result look

  5. freckles
    • one year ago
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    do you know how to solve equations yet?

  6. freckles
    • one year ago
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    maybe not... I guess since you are asking how to solve (3+c)/2=5 and also solve (5+d)/2=-11

  7. freckles
    • one year ago
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    the first I would do would be to multiply both sides by 2

  8. freckles
    • one year ago
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    for both equations

  9. anonymous
    • one year ago
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    Ok so that would give 5+d=-22?

  10. freckles
    • one year ago
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    yes for the second equation you have d+5=-22

  11. anonymous
    • one year ago
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    and then 3+c=10

  12. freckles
    • one year ago
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    do you the +5 on the side with d on it you are going to minus 5 on both sides because you know 5-5=0 so you will have d by itself

  13. freckles
    • one year ago
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    and that is right for the first equation so far

  14. anonymous
    • one year ago
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    And then you do the same to the other one too?

  15. freckles
    • one year ago
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    well not subtract 5 on both sides but subtract 3 on both sides yes

  16. anonymous
    • one year ago
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    So d=-27 and c=7?

  17. freckles
    • one year ago
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    ok great now remember (c,d) is the point V so your answer would be (7,-27) is the other endpoint V

  18. freckles
    • one year ago
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    so the midpoint of (7,-27) and (3,5) is \[(\frac{3+7}{2},\frac{-27+5}{2})=(\frac{10}{2},\frac{-22}{2})=(5,-11)\]

  19. anonymous
    • one year ago
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    Ok great I get it now

  20. freckles
    • one year ago
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    cool stuff have a good day :)

  21. anonymous
    • one year ago
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    Thank you very much for your help! My sister doesn't know how to do this, thank you

  22. freckles
    • one year ago
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    well go teach her then

  23. anonymous
    • one year ago
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    Ok i will now

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