Determine the direction angle for the vector. Round to the nearest tenth of a degree.v = -4i - 3j

A. none of these
B. 36.9°
C. 233.1°
D. 216.9°

Answer: D

Mathematics

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If you have the following function, f ( x ) = -x 2 - 5x + 4, compute f (3), f (-2), f (5), f (-4).

A. f (3) = 0, f (-2) = 21, f (5) = 6, f (-4) = 43 B. f (3) = –2, f (-2) = 18, f (5) = 4, f (-4) = 40 C. f (3) = 1, f (-2) = 20, f (5) = 7, f (-4) = 42 D. f (3) = –1, f (-2) = 19, f (5) = 5, f (-4) = 41 E. f (3) = –3, f (-2) = 16, f (5) = 2, f (-4) = 39

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Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.24xy - 7y2 + 36 = 0

A. ? = 36.9°
  -  = 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±3)
B. ? = 36.9°
-  = 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±2)
C. ? = 36.9°
-  = 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ± )
D. ? = 53.1°
-  = 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±2)