Solve the problem.A meteor circles the earth in an elliptical orbit. The major axis of the elliptical orbit is 24 × 108  miles long and the minor axis is 14 × 108  miles long. If the earth is at one focus of the orbit what is the distance from the other focus?

A. 2 ×  × 104 mi
B. 2 ×  × 108 mi
C.   × 104 mi
D. 2 ×  × 103 mi


Answer: A

Mathematics

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Sketch the graph and show all local extrema and inflection points.f(x) = |x2 - 3x|

A. Local maximum: 
Inflection points: (0, 0), (3, 0)


B. Local minima: (0, 0), (3, 0)
Local maximum: 

No inflection points


C. Local minimum: 
No inflection points


D. Local minima: (0, 0), (3, 0)
Local maximum: 

Inflection points: (0, 0), (3, 0)

Mathematics

Solve the problem.The perimeter of a triangle is 70 cm. The triangle is isosceles now, but if its base were lengthened by 7 cm and each leg were shortened by 4 cm, it would be equilateral. Find the base of the original triangle.

A. 27 B. 15 C. 16 D. 23

Mathematics

Indicate whether the graph of the equation is a circle, an ellipse, a hyperbola, or a parabola. Then graph the conic section.x = (y - 2)2 - 6

A. parabola

B. circle
 
C. hyperbola

D. ellipse

Mathematics

Find an equation in slope-intercept form of the line that passes through the given point and has slope m.(0, 3); m = - 

A. y = - x - 3
B. y = 3x + 
C. y = 3x - 
D. y = - x + 3

Mathematics