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anonymous

  • one year ago

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  1. Vocaloid
    • one year ago
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    to find the midpoint, you take the average value of the x-coordinates, then the average value of the y-coordinates, then put them together to make a new point (x-average,y-average) we can use #19 as an example G(-4,4) and H(6,4) the x-coordinates are -4 and 6, do you remember how to find the average?

  2. anonymous
    • one year ago
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    so -4+6 is 2 2/3?

  3. Vocaloid
    • one year ago
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    almost but not quite -4+6 = 2, correct, but we divide by 2, not 3, since there are 2 points 2/2 = 1, with me so far?

  4. anonymous
    • one year ago
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    lol sorry i dont know why i said 3 but yes

  5. Vocaloid
    • one year ago
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    ok, now do the same thing with the y-coordinates the average of 4 and 4 is...?

  6. anonymous
    • one year ago
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    lol4

  7. Vocaloid
    • one year ago
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    right, so the midpoint is (1,4) can you try #20-22 on your own? :) I'll guide you if you get stuck

  8. anonymous
    • one year ago
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    k just check me

  9. anonymous
    • one year ago
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    first coordinate is -5? -7-3 -10/2

  10. anonymous
    • one year ago
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    right?

  11. Vocaloid
    • one year ago
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    yup

  12. anonymous
    • one year ago
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    -5+7 2 2/2 1

  13. anonymous
    • one year ago
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    ?

  14. Vocaloid
    • one year ago
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    yup, so our midpoint is...?

  15. anonymous
    • one year ago
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    -5,1

  16. Vocaloid
    • one year ago
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    yup, don't forget the parentheses ready for the next one?

  17. anonymous
    • one year ago
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    yup

  18. anonymous
    • one year ago
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    is the first one 3/2? -8+11 3 3/2

  19. Vocaloid
    • one year ago
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    yup

  20. anonymous
    • one year ago
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    so that would be 1.5

  21. anonymous
    • one year ago
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    -7+5 -2/2 1

  22. anonymous
    • one year ago
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    right?

  23. anonymous
    • one year ago
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    lol -1

  24. Vocaloid
    • one year ago
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    yup, -1, so put them together

  25. anonymous
    • one year ago
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    (1.5,-1)

  26. Vocaloid
    • one year ago
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    yup, next?

  27. anonymous
    • one year ago
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    -3-8 -11/2 -5.5

  28. Vocaloid
    • one year ago
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    yup

  29. anonymous
    • one year ago
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    3+6 9/2 4.5

  30. Vocaloid
    • one year ago
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    yuppp, ready for 23?

  31. anonymous
    • one year ago
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    yup that one i dont get what they are asking

  32. Vocaloid
    • one year ago
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    well, we're basically doing the same thing that we've been doing so far, except with letters (variables) instead of numbers so, if our first point is (0,0) and our second point is (m,n), we follow the same procedure we add the x-coordinates together and divide by 2, getting...?

  33. Vocaloid
    • one year ago
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    not quite... the x-coordinates are 0 and m, correct? so when we take the average we get (0+m)/2 = m/2, with me so far?

  34. anonymous
    • one year ago
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    yup

  35. Vocaloid
    • one year ago
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    using the same reasoning for the y-coordinates we get n/2 giving us a final point (m/2,n/2) which is the formula they're looking for

  36. anonymous
    • one year ago
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    so (m/2,n/2) is the formula? I thought that a midpoint is different than a formula...

  37. Vocaloid
    • one year ago
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    well, it's both a midpoint AND a formula, really. a formula is just a set of instructions to find some value, by manipulating known variables what makes it a "formula" is the fact that we can plug in any m and n to get our midpoint so our formula is midpoint = (m/2,n/2)

  38. anonymous
    • one year ago
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    ah i get it

  39. Vocaloid
    • one year ago
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    I'm not sure how detailed of an explanation they want when they say "explain your reasoning"

  40. anonymous
    • one year ago
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    i got it. Can u help with some more

  41. Vocaloid
    • one year ago
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    sure

  42. anonymous
    • one year ago
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    i think this is the same kind of problem but i would like help. Use the given endpoint R and the midpoint M of RS to find the coordinates of the other endpoint S R(3,0), M(0,5)

  43. anonymous
    • one year ago
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    R(5,1) M(1,4) R(6,-2) M (5,3)

  44. Vocaloid
    • one year ago
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    well, the same rule applies, but we have to think a bit differently because we are now given a midpoint + an endpoint, rather than two endpoints.

  45. Vocaloid
    • one year ago
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    before, we took the average of the 2 endpoints and got a midpoint, but here we kind of need to work backwards. I'll demonstrate using R(3,0) and M(0,5)

  46. Vocaloid
    • one year ago
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    R = endpoint 1 = (3,0) M = midpoint = (0,5) S = endpoint 2 = (x,y) using our rules from before, we know that (3+x)/2 = 0, with me so far?

  47. anonymous
    • one year ago
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    yes

  48. Vocaloid
    • one year ago
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    so, if (3+x)/2 = 0, what is x = ?

  49. anonymous
    • one year ago
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    -3?

  50. Vocaloid
    • one year ago
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    yup, now let's do y R = endpoint 1 = (3,0) M = midpoint = (0,5) S = endpoint 2 = (x,y) (0+y)/2 = 5, so y = ?

  51. anonymous
    • one year ago
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    10?

  52. Vocaloid
    • one year ago
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    yup, so our point becomes S(-3,10) do you think you can try the others now? just follow the template :)

  53. anonymous
    • one year ago
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    yes i am good now thank you that is all for the day

  54. anonymous
    • one year ago
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    you can go help other people that need help

  55. anonymous
    • one year ago
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    thank you

  56. anonymous
    • one year ago
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    :)

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