anonymous
  • anonymous
Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. 2x^2 + 6y^2 + 5x = 0 A. circle B. parabola C. ellipse D. hyperbola
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
ellipse.
anonymous
  • anonymous
general eq of conic is \[ax^2+ by^2+2gx+afy+ahxy+c=0\]
anonymous
  • anonymous
conic depends on the sign of \[h^2- ab\]

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anonymous
  • anonymous
ok so negative makes it an ellipse.? 6x2 – 3y2 + 5x – 2y – 7 = 0 would be a hyperbola right or no cause it's negative
anonymous
  • anonymous
2fy*
anonymous
  • anonymous
yes its an ellipse
anonymous
  • anonymous
+ve makes a hyperbola
anonymous
  • anonymous
ok so whats makes something a parabola?
anonymous
  • anonymous
=zero
amistre64
  • amistre64
a parabola bends once; onlyone variable will be squared
anonymous
  • anonymous
oh ok thanks
anonymous
  • anonymous
I guess I just dont get how you tell the difference between a hyperbola and ellipse if they are both negative, like 5x2 – 8y2 + 7x + 3y – 7 = 0 it's not a parabola or circle
amistre64
  • amistre64
that looks like a hyperbola
anonymous
  • anonymous
how do you tell the difference between a hyperbola and ellipse
amistre64
  • amistre64
when x^2 or y^2; only one of them is negative; its a hyperbola usually
anonymous
  • anonymous
if h^2-ab is positive, the conic is a hyperbola
amistre64
  • amistre64
an ellipse/cirlce has the same sign on x^2 and y^2
anonymous
  • anonymous
yes if a n b possess different sign it is usualy a hyperbola
amistre64
  • amistre64
a circle is just a special ellipse
anonymous
  • anonymous
oh ok I get it now thanks very much
amistre64
  • amistre64
just like a square is a special rectangle
anonymous
  • anonymous
right
amistre64
  • amistre64
a hyperbola is an inside out ellipse
anonymous
  • anonymous
oh ok good way to put it

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