SOLUTION: need help to determine whether the following describe a parabola,a hyperbola,an ellipse,a circle,or none of these.a)x^-4x+y^-12y=60 b)2x^-4x+y^-12y=60 c)x^-4x-2y^-12y=60 d)-

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: need help to determine whether the following describe a parabola,a hyperbola,an ellipse,a circle,or none of these.a)x^-4x+y^-12y=60 b)2x^-4x+y^-12y=60 c)x^-4x-2y^-12y=60 d)-      Log On


   

Question 521338: need help to determine whether the following describe a parabola,a hyperbola,an ellipse,a circle,or none of these.a)x^-4x+y^-12y=60 b)2x^-4x+y^-12y=60 c)x^-4x-2y^-12y=60 d)-4x+y^12y=60 e)2x^-4x+2y^-12y=60
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Circle: and terms have equal coefficients.

Ellipse: and terms have same sign but unequal coefficients.

Hyperbola: and terms have opposite sign coefficients.

Parabola: Missing or term (but NOT both)

BTW, ^ does NOT mean "squared"; it means "raised to the power of" and an exponent following the ^ is expected.

John

My calculator said it, I believe it, that settles it
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