Solve by completing the square to obtain exact solutions.16x2 + 56x + 13 = 0

A. - , - 
B. - , - 
C. - 
D.


Answer: B

Mathematics

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Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.x2 + xy + y2 - 3y - 6 = 0

A. ? = 45°
 +  = 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±2)
B. ? = 45°
 +  = 1
ellipse
center at ()
major axis is y'-axis
vertices at (, - ) and ()
C. ? = 45°
y'2 = -18x'
parabola
vertex at (0, 0)
focus at (- , 0)
D. ? = 45°
 -  = 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±, 0)

Mathematics

An observer is 300 feet from a hot air balloon before it lifts off. Determine the angle of elevation, ?, when the balloon reaches a height of feet. State your answer in degrees and round to one decimal place.

Mathematics

Find the product AB.A = , B = 

A.

B.

C.

D.

Mathematics

Simplify the rational expression. If the rational expression cannot be simplified, so state.

A.
B. x + 12
C.
D. cannot be simplified

Mathematics