Solve by completing the square to obtain exact solutions.16x2 + 56x + 13 = 0
A. - , -
B. - , -
C. - ,
D. ,
Answer: B
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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)
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.
Find the product AB.A = , B =
A.
B.
C.
D.
Simplify the rational expression. If the rational expression cannot be simplified, so state.
A.
B. x + 12
C.
D. cannot be simplified