Find the center, vertices and  foci of the hyperbola.
?

?

A. Center: (1, 1)

Vertices:

Foci: 


B. Center:

Vertices:

Foci: 


C. Center: (0, 0)

Vertices:

Foci:


D. Center: (0, 0)

Vertices:

Foci: 


E. Center:

Vertices:

Foci: 



Answer: D

Mathematics

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Graph the function by first writing it in the form y = A sin(x + C). State the amplitude, period, and phase shift.y = 6 sin x - 6 cos x

A. Amplitude 6, period 2?,
phase shift 


B. Amplitude 6, period 2?, 
phase shift 
- 

C. Amplitude 6, period 2?, 
phase shift 
- 

D. Amplitude 6, period 2?, 
phase shift 


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The temperature T of a potato t minutes after being placed in the oven is given by  

. ? A: Plot the graph of the graph of temperature versus time over the first hour of baking.B: Use the calculator to estimate the value of  after 15 minutes of baking. Round your answer to two decimal places.C: Use the calculator to estimate the value of  after 30 minutes of baking. Round your answer to two decimal places.D: Explain in practical terms what the answers from parts B and C tell you about how the potato bakes over time. What will be an ideal response?

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Find the domain of the function.f(x) = 6x - 1

A. [1, ?) B. (-?, ?) C. (0, ?) D. (-?, 0) ? (0, ?)

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Find the slope of the line passing through the pair of points or state that the slope is undefined.(3, 2) and (4, 6)

A.  
B. - 4
C.  
D. 4

Mathematics