Give the focus, directrix, and axis for the parabola.(y - 6)2 = -12(x + 2)
A. (-5, 6), x = 1, y = -2
B. (-5, 3), x = 1, y = 6
C. (-5, 6), x = -2, y = 6
D. (-5, 6), x = 1, y = 6
Answer: D
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Solve the system of equations by determinants. 4w - 4y + z = 16-w + x + 3y - z = -95w - x + 3z = -10 x + 4y - z = -15
A. w = 0, x = -1, y = 5, z = 5 B. w = -1, x = 5, y = -5, z = 0 C. w = 1, x = 7, y = -5, z = -1 D. w = -2, x = 0, y = -6, z = 1
Solve the equation by completing the square.x2 + 4x = 7
A. {-2 - 
, -2 + 
}
B. {-1 - 
, -1 + 
}
C. {-2 - 2
, -2 + 2
}
D. { 2 + 
}
Solve the problem.In a computer simulation, a satellite orbits around Earth at a distance from the Earth's surface of 
miles. The orbit is circular, and one revolution around Earth takes 10.9 days. Assuming the radius of the Earth is 3960 miles, find the linear speed of the satellite. Express the answer in miles per hour to the nearest whole mile.
A. 648 mph B. 13,621 mph C. 552 mph D. 103 mph
Write an algebraic equation and use it to solve the problem.A hot air balloon spent several minutes ascending. It then stayed at a level altitude for three times as long as it had ascended. It took 4 minutes less to descend than it did to ascend. The entire trip took one hour and 31 minutes. For how long was the balloon at a level altitude?
A. 15 minutes B. 34 minutes C. 19 minutes D. 57 minutes