Solve the absolute value equation or indicate that the equation has no solution.
+ 4 = 11
A. {- 
, 
}
B. 
C. 
D. ?
Answer: C
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Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.17x2 - 12xy + 8y2 - 68x + 24y -12 = 0
A. ? = 63.4°
x'2 = -16y'
parabola
vertex at (0, 0)
focus at (0, -4)
B. ? = 63.4°
+ 
= 1
ellipse
center at (
, - 
)
major axis is x'-axis
vertices at (4 + 
, - 
) and (-4 + 
, - 
)
C. ? = 26.6°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±4)
D. ? = 63.4°
- 
= 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±4, 0)
Solve.A plane flying with a tailwind flew at a speed of 420 mph, relative to the ground. When flying against the tailwind, it flew at a speed of 300 mph. Express these relationships as equations. Let x represent the speed of the plane in calm air and let y represent the speed of the wind.
A. x + y = 420 y = 300 B. x + y = 300 x - y = 420 C. x + y = 300 y = 420 D. x + y = 420 x - y = 300
Use the rules of exponents to simplify the expression. Write the answer with positive exponents. Assume that all variables represent positive real numbers.(1024h2k4)3/2
A. 32,768h3k6 B. 1024h3k6 C. 32,768k3h6 D. 32,768h3k3
Find the difference and simplify the answer. 
A. 
B. 
C. 
D. 