anonymous
  • anonymous
Why can't the mean proportional be negative?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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dumbcow
  • dumbcow
"mean proportional" ?? not sure what you mean
dumbcow
  • dumbcow
like average ratio
anonymous
  • anonymous
when a/b = b/d, then b is the mean proportional.

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anonymous
  • anonymous
oops, i mean a/b=b/c. not that it makes a difference.
dumbcow
  • dumbcow
oh ok , and to answer your question, not sure it can't be negative but it doesn't make a difference really a/b = b/c --> b^2 = ac --> b = +-sqrt(ac) usually ratios deal with lengths which by definition are always positive
dumbcow
  • dumbcow
example: say b = -3, a = 1, c = 9 -1/3 = -3/9 , the negative cancels out so the proportion is equivalent to 1/3 = 3/9
anonymous
  • anonymous
ah....i see. i understood that the negative cancels out (which is why i sort of asked the question, because my textbook says mean proportional can't be negative). and is it true, ratios are defined to be positive things?Thenn that would make sense.
anonymous
  • anonymous
Thanks for answering, btw. :) And i find it amusing we both have the same name almost, dumb cow and dumb duck :D
anonymous
  • anonymous
But the question is still unanswered :/
dumbcow
  • dumbcow
i agree, sorry I don't have a sophisticated mathematical reason for you I have never considered it before
anonymous
  • anonymous
oh. thanks anyhow :]
dumbcow
  • dumbcow
http://regentsprep.org/Regents/math/geometry/GP12/LMeanP.htm look at definition. It is just positive by definition
anonymous
  • anonymous
oh!. i didn't know that.
anonymous
  • anonymous
am i allowed to ask now, why they defined it to be positive? :P
dumbcow
  • dumbcow
It comes from the definition of a function y = +-sqrt(x) is not a function because it does not pass the vertical line test y = sqrt(x) is however, so the mean proportional is always positive
anonymous
  • anonymous
ah. how come it has to be a function?
dumbcow
  • dumbcow
http://en.wikipedia.org/wiki/Geometric_mean#cite_note-1 it applies only to positive numbers, and it wouldn't make sense if the mean of positive numbers were negative
anonymous
  • anonymous
I didn't comprehend fully.....but ah, thanks anyway. I'll keep asking why forever lol.

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