Find the equation of the hyperbola satisfying the given conditions.Vertices: (0, ±2); foci: (0, ±3)

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


Answer: C

Mathematics

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Solve the problem.To find the distance AB across a river, a distance BC of 1190 m is laid off on one side of the river. It is found that B = 110.8° and   Find AB. Round to the nearest meter.

A. 308 m B. 257 m C. 260 m D. 311 m

Mathematics

Solve the system of equations using the inverse of the coefficient matrix.

A. x = 3, y = 1, z = 8 B. x = 3, y = 8, z = 1 C. x = -3, y = 8, z = 6 D. The system is inconsistent.

Mathematics

Solve the problem.If a satellite is placed in a circular orbit of 390 kilometers above the Earth, what is the equation of the path of the satellite if the origin is placed at the center of the Earth (the diameter of the Earth is approximately 12,740 kilometers)?

A. x2 + y2 = 45,697,600 B. x2 + y2 = 172,396,900 C. x2 + y2 = 40,576,900 D. x2 + y2 = 152,100

Mathematics

Find the function.Find the function that is finally graphed after the following transformations are applied to the graph of  The graph is shifted down 3 units, reflected about the x-axis, and finally shifted right 2 units.

A. y = - + 3
B. y = - - 3
C. y =  - 3
D. y = - + 3

Mathematics