Identify the equation as a parabola, circle, ellipse, or hyperbola.4x2 = 16y2 + 64

A. Ellipse
B. Circle
C. Parabola
D. Hyperbola


Answer: D

Mathematics

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Make the required change in the given equation.r = 6 to spherical coordinates

A. ? = 6 csc ?
B. ?2(1 - cos ?) = 36
C. cos ? = 
D. ? = 6 sin ?

Mathematics

Find a system of inequalities to describe the given region.Points inside the triangle that has vertices (0, 0), (0, 6), and (8, 0).

A. > 0, y > 0, y > - + 6
B. > 0, y > 0, y < + 6
C. > 0, y > 0, y < - + 6
D. > 0, y > 0, y < - + 8

Mathematics

Use the elimination method to solve the system. -2x + 4y = -5-10x + 20y = -25

A. (-20, 10) B. Infinitely many solutions C. (10, -20) D. No solution

Mathematics

Sketch the function represented by the given parametric equations. Then use the graph to determine each of the following:a. intervals, if any, on which the function is increasing and intervals, if any, on which the function is decreasing.b. the number, if any, at which the function has a maximum and this maximum value, or the number, if any, at which the function has a minimum and this minimum value.x = 3t, y = t

A. Increasing on: (0, ?)

B. Decreasing on: (0, ?)

C. Increasing on: (0, ?)

D. Increasing on: [1, ?); Minimum: (1, 1)

Mathematics