Name the conic (horizontal ellipse, vertical hyperbola, and so on) corresponding to the given equation.
+ 
= 0
A. Horizontal hyperbola
B. Vertical hyperbola
C. Vertical parabola
D. Horizontal parabola
Answer: C
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Graph the given equation, indicating vertices, foci, and asymptotes (if it is a hyperbola).36x2 + 49y2 = 1764
A. 
Vertices: (0, ±7); Foci (0, ±
)
B. 
Vertices: (±
, 0) Foci: (±7, 0)
C. 
Vertices: (±7, 0); Foci: (0, ±
)
D. 
Vertices: (±7, 0); Foci: (±
, 0)
Provide an appropriate response.Show that if a particle's velocity vector is always orthogonal to its acceleration vector then the particle's speed is constant.
What will be an ideal response?
Given the perimeter and either the length or width of a rectangle, find the unknown measurement by using the appropriate formula.The perimeter is 32 inches and the width is 4 inches.
A. 14 inches B. 23 inches C. 12 inches D. 24 inches
One bag of Alice's favorite cookies contains 421 calories. How many calories are in 4 bags of cookies?
A. 2124 cal B. 1,600 cal C. 1,680 cal D. 1,684 cal