Solve the equation.
= 4
A. {12, 36, 0}
B. {12}
C. {36}
D. {12, 36}
Answer: D
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Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.31x2 + 10
xy + 21y2 -144 = 0
A. ? = 45°
x'2 = -4
y'
parabola
vertex at (0, 0)
focus at (0, -
)
B. ? = 36.9°
+ 
= 1
ellipse
center at (0, 0)
major axis is x'-axis
vertices at (±3, 0)
C. ? = 45°
y'2 = -4
x'
parabola
vertex at (0, 0)
focus at (-
, 0)
D. ? = 30°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±3)
Write the fraction in simplest form.
A. 
B. 
C. 
D. 
Decide whether the pair of lines is parallel, perpendicular, or neither.12x + 4y = 1621x + 7y = 30
A. parallel B. perpendicular C. neither
Write an equation to find the number. Solve.Twelve less than 7 times a number is equal to 24 more than -5 times the number.
A. 12 - 7x = -5x + 24; x = -6 B. 12- 7x = -5x + 24; x = 6 C. 7x - 12 = -5x + 24; x = - 3 D. 7x - 12 = -5x + 24; x = 3