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anonymous
 4 years ago
x^2y^2 = 2*(xy)^2
What is the ratio of the smaller variable to the larger variable? Please explain.
anonymous
 4 years ago
x^2y^2 = 2*(xy)^2 What is the ratio of the smaller variable to the larger variable? Please explain.

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phi
 4 years ago
Best ResponseYou've already chosen the best response.2@ven pretty close. @mri can you fix his algebra?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0@Phi: Fail from my side think I did a mistake :/

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I'll try to fix let me try it before you fix it please.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes, (xy)^2 doesnt equal x^2  y^2

phi
 4 years ago
Best ResponseYou've already chosen the best response.2x^2y^2 = 2*(xy)^2 (xy)(x+y)= 2*(xy)(xy) keep going...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Get rid of the (xy) on both sides to get (x+y)=2(xy) (x+y)/(xy)=2/1 Cross multiply? 2x2y=x+y x = 3y Answer is 1:3?

phi
 4 years ago
Best ResponseYou've already chosen the best response.2ratio of the smaller variable to the larger variable? 1:3 Yes

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I got 1:3 as well but how do you understand what is smaller and which is larger phi?

phi
 4 years ago
Best ResponseYou've already chosen the best response.2although when I got to (x+y)=2(xy) I did: x+y = 2x  2y 0= x  3y 3y=x

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0That wouldve been quicker, but, oh well, at least i got it. @vengeance one of them is larger and one is smaller, not sure if that answers your question. Could you be more clear?

phi
 4 years ago
Best ResponseYou've already chosen the best response.2if we have x = 3y then, to use a concrete example, let y=1 so x=3 ratio of smaller to larger is 1:3 of course, this will work for any y value (except 0)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Ah got it, thank you :)

phi
 4 years ago
Best ResponseYou've already chosen the best response.2I think there is more to this than I thought. We could have y= 1, x= 3 and the ratio of small to large is 3:1 = 3:1 Is this one of those ambiguous questions?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I looked it up. Um.. It only had one answer.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Maybe there is a secret rule to ratios that when converting to positive you take the reciprocal. Maybe like when dividing by a negative in inequalities

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Try plugging the negative numbers back in to the original equation.

phi
 4 years ago
Best ResponseYou've already chosen the best response.2I just did a quick goole search. It looks like you can take ratios of negatives, but generally it is not done, so I would assume positive numbers unless specifically told otherwise. yes, negative numbers work in your original equation.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Okay, thanks, i gotta go eat dinner
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