Use elimination to solve each system of equations, if possible. Identify the system as consistent or inconsistent. If the system is consistent, state whether the equations are dependent or independent. -4x + 8y = -4-2x + 5y = 2

A. (9, 5); consistent and independent
B. (8, 5); consistent and independent
C. inconsistent
D. (9, 4); consistent and independent

Answer: D

Mathematics

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Find the limit of the function algebraically.

A. 1 B. -12 C. -6 D. Does not exist

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Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.5x2 - 6xy + 5y2 - 8 = 0

A. ? = 45°
+ y'² = 1
ellipse
center at (0, 0)
major axis is the x'-axis
vertices at (±2, 0)
B. ? = 45°
x'² = -4y'
parabola
vertex at (0, 0)
focus at (0, -1)
C. ? = 45°
y'² = -4x'
parabola
vertex at (0, 0)
focus at (-1, 0)
D. ? = 45°
- y'² = 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±2, 0)