Find an equation for the ellipse described. Graph the equation.Foci at (1, 4) and (-5, 4); vertex at (-8, 4)

A.  +  = 1

B.  +  = 1

C.  +  = 1

D.  +  = 1


Answer: D

Mathematics

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The following expressions represent denominators of rational expressions. Find their LCD.x2 - 8x + 15 and -2x + 10

A. -2(x + 3)(x - 5) B. -2(x - 3)(x + 5) C. -2(x + 3)(x + 5) D. -2(x - 3)(x - 5)

Mathematics

Solve. Round to the nearest percent if necessary.A company increased the number of its employees from 130 to 221. What was the percent of increase?

A. 170% B. 70% C. 91% D. 41%

Mathematics

Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.6 kilogram and ? = 30°? If necessary, round the answer to the nearest tenth of a Newton.

A. 2.9 N B. 5.1 N C. 5.8 N D. 2.6 N

Mathematics

Use the given vectors to find the indicated expression.v = -4i + 3j + 2k,  u = -5i + 3j + 5kFind v × (-3u).

A. -33i - 30j - 21k B. -27i - 30j - 9k C. 27i + 30j + 9k D. 9i + 2j + 3k

Mathematics