Find an equation of the hyperbola centered at the origin which satisfies the given conditions.A hyperbola with vertices (0, ±8) and asymptotes y = ±x

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1


Answer: A

Mathematics

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Round the number to the specified place value.Mauna Loa, in Hawaii, is the largest volcano in the world. Its height above sea level is 13,677 feet. Round this number to the nearest thousand.

A. 14,000 feet B. 13,600 feet C. 14,600 feet D. 13,000 feet

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Solve the proportion for the given variable. Round the solution where indicated. = Round to the nearest thousandth.

A. 0.544 B. 0.115 C. 1.838 D. 8.706

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Solve the equation.x2 - 64 = 63x

A. -8, -8 B. -1, 64 C. -8, 8 D. 1, -64

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A company manufactures two types of sneakers: running shoes and basketball shoes. The total revenue from  units of running shoes and  units of basketball shoes is:

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,
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where  and  are in thousands of units. Find  and  so as to maximize the revenue.
?

A. ,

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B. ??,
C. ?,

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D. ?,

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E. ?,

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Mathematics