Solve the absolute value equation or indicate that the equation has no solution. + 4 = 11

A. {- }
B.
C.
D. ?


Answer: C

Mathematics

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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)

Mathematics

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

Mathematics

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

Mathematics

Find the difference and simplify the answer.  

A.
B.
C.
D.

Mathematics