Provide the proper response.It can be shown that a hyperbola with center at the origin, foci at  and  and equation  has equation  Use this result to find an equation of a hyperbola with center at the origin, foci at  and 

src="https://sciemce.com/media/4/ppg__10627191645__f1q253g6.jpg" alt="" style="vertical-align: -4.0px;" /> and absolute value of the distances from any point of the hyperbola to the two foci equal to 4.



A.  -  = 1
B.  -  = 1
C. x² - y² = 4
D.  -  = 1

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Answer: A

Mathematics

Solve the problem.A store takes inventory of a popular clock at the end of each business day. The table below shows the number of clocks in stock during a 5-day period in which no new clocks were received from the distributor. What are the domain and range of the function described by the table? 

A. Domain = {1, 2, 3, 4, 5}; range = {7, 11, 12, 16, 23} B. Domain = [1, 5]; range = [7, 23] C. Domain = [7, 23]; range = [1, 5] D. Domain = {7, 11, 12, 16, 23}; range = {1, 2, 3, 4, 5}

Divide.

A. x² - 5 - 
B. x³ - 5 - 
C. x²y - 5 - 
D. x² - 5 - y³

Find the measure of each angle in the problem.

A. 40° and 50° B. 20° and 30° C. 20° and 25° D. 30° and 60°

Multiply the binomials using FOIL.(x + 12)(4x - 1)

A. 4x2 + 45x - 12 B. 4x2 + 47x - 12 C. 4x2 - 12x + 47 D. 4x2 + 47x + 47