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anonymous

  • one year ago

Please help! What is the geometric mean of a and b?

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  1. amistre64
    • one year ago
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    how do we define a geometric mean?

  2. anonymous
    • one year ago
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    ANSWER CHOICES: 1. a+b/2 2. a-b/2 3. aqr root a+b 4. sqr root ab

  3. anonymous
    • one year ago
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    with the formula a/x=x/b

  4. amistre64
    • one year ago
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    i spose a formula works for 2 values ... what is x, when you use this formula?

  5. anonymous
    • one year ago
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    a? Im not to sure how to answer this question.

  6. amistre64
    • one year ago
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    clear the fractions ...

  7. amistre64
    • one year ago
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    multiply both sides x, and then by b ...

  8. jim_thompson5910
    • one year ago
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    |dw:1444011183569:dw|

  9. jim_thompson5910
    • one year ago
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    |dw:1444011203981:dw|

  10. jim_thompson5910
    • one year ago
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    then isolate x

  11. anonymous
    • one year ago
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    x^2= ab^2?

  12. jim_thompson5910
    • one year ago
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    a times b is simply ab

  13. jim_thompson5910
    • one year ago
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    not ab^2

  14. amistre64
    • one year ago
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    x * a/x = x* x/b a = x^2 /b a*b = x^2*b/b ab = x^2

  15. amistre64
    • one year ago
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    we could stop there and deduce, since only one option has no addition or subtraction in it ...

  16. anonymous
    • one year ago
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    oh okay

  17. anonymous
    • one year ago
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    How do i deduce it?

  18. amistre64
    • one year ago
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    do we have an a+b in our process so far? an a-b?

  19. amistre64
    • one year ago
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    if you cant deduce it yet, finish the process ab = x^2, how do we undo a ^2 ?

  20. anonymous
    • one year ago
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    simplify it?

  21. amistre64
    • one year ago
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    yes, how?

  22. anonymous
    • one year ago
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    I honestly dont know..

  23. jim_thompson5910
    • one year ago
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    what undoes squaring? if I take a number like 7 and square it to get 49, how do I go backwards and undo that?

  24. anonymous
    • one year ago
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    divide it by 7 again? so i do x divided by 2? or what?

  25. amistre64
    • one year ago
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    to solve a square, you have to determine its root.

  26. amistre64
    • one year ago
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    the square root of x^2 is x and the fundamental principle of equations is ... what you do to one side you do to the other

  27. anonymous
    • one year ago
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    ahhh okay. and what is the next part?

  28. amistre64
    • one year ago
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    selecting the answer that matches our outcome ...

  29. jim_thompson5910
    • one year ago
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    |dw:1444011891906:dw|

  30. jim_thompson5910
    • one year ago
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    what amistre64 is saying is that you apply the square root to both sides |dw:1444011943181:dw|

  31. jim_thompson5910
    • one year ago
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    the square root and squaring will cancel out because they are opposites (kinda like how addition and subtraction are opposites) |dw:1444011981590:dw|

  32. amistre64
    • one year ago
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    in words, the geometric mean of a set of n, numbers, is the nth root of thier product

  33. anonymous
    • one year ago
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    and what is the next step after that?

  34. jim_thompson5910
    • one year ago
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    the question is practically done at this point (look closely at my last drawing)

  35. anonymous
    • one year ago
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    Nevermind, i saw it thank you so much!

  36. jim_thompson5910
    • one year ago
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    no problem

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