Sketch a graph of a hyperbola, centered at the origin, with the foci, vertices, and asymptotes shown in the figure. Find an equation of the hyperbola.y = ± 2x; F(±3, 0); V(±3, 0)

A.  -  = 1

B.  -  = 1

C.  -  = 1

D.  -  = 1


Answer: D

Mathematics

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Solve the problem.Electrical systems are governed by Ohm's law, which states theV = IR, where V = voltage, I = current, and R = resistance. If the current in an electrical system is decreasing at a rate of 4 A/s while the voltage remains constant at 22 V, at what rate is the resistance increasing when the current is 24 A?

A.  ohms/s
B.  ohms/s
C.  ohms/s
D.  ohms/s

Mathematics

Translate the argument into symbolic form, then use the table below to determine whether the argument is valid or invalid. Indicate valid/invalid and identify the type of answer.VALID ARGUMENTSINVALID ARGUMENTSIf I take a taxi, I will get to the museum faster.? If I take a taxi, I will have more time to enjoy the paintings.

What will be an ideal response?

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Perform the indicated operations and simplify the result. Leave the answer in factored form. - 

A.
B.  
C.  
D. 1

Mathematics

State the period of the function: ? ?

A.
B.
C.
D.
E. 1

Mathematics