Find an equation of the hyperbola centered at the origin which satisfies the given conditions.A hyperbola with vertices (0, ±3) and foci (0, ±5)

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


Answer: C

Mathematics

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Determine when the Hamilton method gives an Alabama paradox on increasing committee size and who loses a seat.City A, City B, and City C are cooperating to build a community center catering to the three cities. Seats on the 11-member committee are assigned according to the populations of the cities. The population of City A is 5000, City B is 11,250, and City C is 15,500. Increase the committee's size by one seat at a time and reassign the seats.

A. Assignment of 15th seat; City C B. Assignment of 16th seat; City A C. Assignment of 14th seat; City A D. Assignment of 16th seat; City B

Mathematics

Find the value of the expression using the given values.4 + 5x = 7, y = -3

A. 9 B. -13 C. 39 D. -43

Mathematics

In rectangle ABCD, AB = 5 and BC = 4. As a square root, find the length of diagonal .

What will be an ideal response?

Mathematics

Use the quadratic formula to find all solutions in the interval  to the nearest tenth of a degree. ? 

A. 15.9°, 163.3° B. 16.1°, 163.5° C. 16.1°, 163.7° D. 16.3°, 163.7° E. 16.3°, 163.5°

Mathematics