Find the center, foci, and vertices of the ellipse.
+ 
= 1
A. center at (0, 0)
foci at (0, -8) and (0, 8)
vertices at (0, -64), (0, 64)
B. center at (0, 0)
foci at (0, 8) and (7, 0)
vertices at (0, 64), (49, 0)
C. center at (0, 0)
foci at (- 
, 0) and (
, 0)
vertices at (-8, 0), (8, 0)
D. center at (0, 0)
foci at (0, - 
) and (0, 
)
vertices at (0, -8), (0, 8)
Answer: D
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Write 2 9 = 512 in logarithmic form. For example, 2 3 = 8 becomes log 2 8 = 3 in logarithmic form.
A. log 2 9 = 512 B. log 512 2 = 9 C. log 512 9 = 2 D. log 2 512 = 9 E. log 9 512 = 2
Provide an appropriate response.Which one of the following equations in x doesn't require the use of the multiplication property of equality (a, b, c, and d are real numbers, and x is the unknown)?
A. ax = (b - c)x - d
B. a - b + (c - d)x = 0
C. x = 
D. 
x = d - c
Write the expression without parentheses.-(4x + 2y)
A. 4x - 2y B. -4x + 2y C. 4x + 2y D. -4x - 2y
Solve.A comet has an orbit that is hyperbolic in shape with Mars as the focus of the hyperbola. The comet heads towards Mars, comes within 280 million miles of Mars, but then veers off as shown in the picture. As it travels into the distance, it moves closer and closer to the line y = 5x. Find the equation that describes the path of the comet. 
A. The equation is 
- 
= 1, where x and y are measured in millions of miles.
B. The equation is 
- 
= 1, where x and y are measured in millions of miles.
C. The equation is 
- 
= 1, where x and y are measured in millions of miles.
D. The equation is 
- 
= 1, where x and y are measured in millions of miles.