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Destinyyyy

  • one year ago

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  1. Destinyyyy
    • one year ago
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  2. jim_thompson5910
    • one year ago
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    if you were to fold up the flaps, you'd get something that looks like this |dw:1440726497313:dw|

  3. jim_thompson5910
    • one year ago
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    ie an open top box the sides of the bottom of the box are x units long |dw:1440726593269:dw|

  4. jim_thompson5910
    • one year ago
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    and the height is 3 units |dw:1440726609264:dw|

  5. Destinyyyy
    • one year ago
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    Okay

  6. jim_thompson5910
    • one year ago
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    what would the volume expression be?

  7. jim_thompson5910
    • one year ago
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    hint: volume of box = length * width * height

  8. Destinyyyy
    • one year ago
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    Ummmm.. 3*x*x ???

  9. jim_thompson5910
    • one year ago
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    which becomes 3x^2, yes

  10. Destinyyyy
    • one year ago
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    Yeah

  11. jim_thompson5910
    • one year ago
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    the box must have a volume of 300 cubic inches. This is given in the instructions

  12. jim_thompson5910
    • one year ago
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    so 3x^2 = 300 which means x = ??

  13. Destinyyyy
    • one year ago
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    x=10

  14. jim_thompson5910
    • one year ago
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    correct

  15. Destinyyyy
    • one year ago
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    Okay

  16. Destinyyyy
    • one year ago
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    Then I plug the 10 into the original problem right? Or no?

  17. jim_thompson5910
    • one year ago
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    yeah into the box since that's the answer

  18. jim_thompson5910
    • one year ago
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    length = width = x

  19. Destinyyyy
    • one year ago
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    Okay

  20. Destinyyyy
    • one year ago
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    Finally my last problem number 23...

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  21. jim_thompson5910
    • one year ago
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    if we look head-on we see this shape |dw:1440727083780:dw|

  22. jim_thompson5910
    • one year ago
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    the base is 25-2x |dw:1440727110151:dw|

  23. jim_thompson5910
    • one year ago
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    the height is x |dw:1440727145385:dw|

  24. jim_thompson5910
    • one year ago
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    what is the area expression of this rectangle? |dw:1440727163012:dw|

  25. Destinyyyy
    • one year ago
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    25-2x*x

  26. jim_thompson5910
    • one year ago
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    use parenthesis

  27. jim_thompson5910
    • one year ago
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    you multiply ALL of `25-2x` by `x`

  28. jim_thompson5910
    • one year ago
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    so you'd say (25-2x) * x

  29. Destinyyyy
    • one year ago
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    Okay

  30. jim_thompson5910
    • one year ago
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    what is (25-2x) * x equivalent to when you distribute?

  31. Destinyyyy
    • one year ago
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    -2x^2+25x

  32. jim_thompson5910
    • one year ago
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    good

  33. jim_thompson5910
    • one year ago
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    the cross sectional area is 43 square inches (given in instructions) so -2x^2 + 25x = 43 solve for x

  34. Destinyyyy
    • one year ago
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    I got--- -25+- square root 281 over -4

  35. jim_thompson5910
    • one year ago
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    me too, you can simplify that to get \[\Large \frac{25\pm\sqrt{281}}{4}\]

  36. jim_thompson5910
    • one year ago
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    now use a calculator to evaluate those expressions to get the approximate decimal form

  37. Destinyyyy
    • one year ago
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    Wait why do you have it as positives??? O.o

  38. jim_thompson5910
    • one year ago
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    I divided each piece by -1

  39. jim_thompson5910
    • one year ago
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    -25/(-1) = +25 -4/(-1) = +4

  40. Destinyyyy
    • one year ago
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    Oh?? So my answer is wrong with the negatives??

  41. jim_thompson5910
    • one year ago
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    it really doesn't matter because they want the decimal approximations anyway

  42. jim_thompson5910
    • one year ago
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    you have a correct form so don't worry

  43. Destinyyyy
    • one year ago
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    Okay

  44. Destinyyyy
    • one year ago
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    x= 10.44, 2.05

  45. jim_thompson5910
    • one year ago
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    then round each to the nearest tenth

  46. Destinyyyy
    • one year ago
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    Um.. 2.1 and 10.4 ?

  47. Destinyyyy
    • one year ago
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    Sorry im not good with decimals...

  48. jim_thompson5910
    • one year ago
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    you have them both correct

  49. Destinyyyy
    • one year ago
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    Okay.. So both are the answer to the depth of the gutter?

  50. jim_thompson5910
    • one year ago
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    yes you'll input them both separated by a comma

  51. jim_thompson5910
    • one year ago
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    the reason why there are 2 answers is because you can think of the same rectangle in 2 different ways eg: a 6 x 5 rectangle is the same as a 5 x 6 rectangle

  52. Destinyyyy
    • one year ago
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    Ohhhh

  53. Destinyyyy
    • one year ago
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    Okay. Thank you!! Now I can be done for the night :))

  54. jim_thompson5910
    • one year ago
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    you're welcome

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