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anonymous
 one year ago
Which conic section is represented by the equation shown below? 2x^29x+4y^2+8x=16 A.) hyperbola B.) Parabola C.) Circle D.) Ellipse
anonymous
 one year ago
Which conic section is represented by the equation shown below? 2x^29x+4y^2+8x=16 A.) hyperbola B.) Parabola C.) Circle D.) Ellipse

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tkhunny
 one year ago
Best ResponseYou've already chosen the best response.0There is a formula for that, or you can resort to Completing the Square (in both x and y). You choose. (2x^2  9x + _____) + (4y^2 + 8x + _____) = 16 + ____ + _____ Or 2(x^2  (9/2)x + _____) + 4(y^2 + 2x + _____) = 16 + 2(____) + 4(_____) Fill in the blanks.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Making this a elipse correct ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't know for sure that's why I was asking you...

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.0Well, you need to know for sure. I won't be there on your exam. What are the characteristics? Is there a "" between the xstuff and the ystuff? If "no", then it's not an hyperbola. Is the coefficient on x^2 the same as the coefficient on y^2? If "no", then it's not a circle. Where does that leave us?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This leaves us with an elipse

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.0Done! Now, where is your lack of confidence? P.S. There are some really weird degenerate conic sections where you get parallel lines or just a point.
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