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anonymous

  • 5 years ago

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

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  1. anonymous
    • 5 years ago
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    ellipse.

  2. anonymous
    • 5 years ago
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    general eq of conic is \[ax^2+ by^2+2gx+afy+ahxy+c=0\]

  3. anonymous
    • 5 years ago
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    conic depends on the sign of \[h^2- ab\]

  4. anonymous
    • 5 years ago
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    ok so negative makes it an ellipse.? 6x2 – 3y2 + 5x – 2y – 7 = 0 would be a hyperbola right or no cause it's negative

  5. anonymous
    • 5 years ago
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    2fy*

  6. anonymous
    • 5 years ago
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    yes its an ellipse

  7. anonymous
    • 5 years ago
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    +ve makes a hyperbola

  8. anonymous
    • 5 years ago
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    ok so whats makes something a parabola?

  9. anonymous
    • 5 years ago
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    =zero

  10. amistre64
    • 5 years ago
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    a parabola bends once; onlyone variable will be squared

  11. anonymous
    • 5 years ago
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    oh ok thanks

  12. anonymous
    • 5 years ago
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    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

  13. amistre64
    • 5 years ago
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    that looks like a hyperbola

  14. anonymous
    • 5 years ago
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    how do you tell the difference between a hyperbola and ellipse

  15. amistre64
    • 5 years ago
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    when x^2 or y^2; only one of them is negative; its a hyperbola usually

  16. anonymous
    • 5 years ago
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    if h^2-ab is positive, the conic is a hyperbola

  17. amistre64
    • 5 years ago
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    an ellipse/cirlce has the same sign on x^2 and y^2

  18. anonymous
    • 5 years ago
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    yes if a n b possess different sign it is usualy a hyperbola

  19. amistre64
    • 5 years ago
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    a circle is just a special ellipse

  20. anonymous
    • 5 years ago
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    oh ok I get it now thanks very much

  21. amistre64
    • 5 years ago
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    just like a square is a special rectangle

  22. anonymous
    • 5 years ago
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    right

  23. amistre64
    • 5 years ago
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    a hyperbola is an inside out ellipse

  24. anonymous
    • 5 years ago
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    oh ok good way to put it

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