Select the graph of the equation as a circle,a parabola,an ellipse,or a hyperbola. $$4 x ^ { 2 } + 3 y ^ { 2 } + 5 x - 28 y + 58 = 0$$
A)Hyperbola
B)Circle
C)Ellipse
D)Parabola
E)None of the above

Question

Select the graph of the equation as a circle,a parabola,an ellipse,or a hyperbola.​ $$4 x ^ { 2 } + 3 y ^ { 2 } + 5 x - 28 y + 58 = 0$$ ​
A)Hyperbola
B)Circle
C)Ellipse
D)Parabola
E)None of the above

Quizplus · Accepted Answer

The equation represents an ellipse because it has both $x^2$ and $y^2$ terms with different coefficients, but both are positive, indicating an ellipse.

Select the Graph of the Equation as a Circle,a Parabola,an 4x2+3y2+5x−28y+58=04 x ^ { 2 } + 3 y ^ { 2 } + 5 x - 28 y + 58 = 04x2+3y2+5x−28y+58=0

Select the Graph of the Equation as a Circle,a Parabola,an $4 x ^ { 2 } + 3 y ^ { 2 } + 5 x - 28 y + 58 = 0$