Translate the indicated phrase.The width of a rectangle is three less than the length. If the length is represented by a, then write an expression that describes the width.
A. 3a
B. 3 + a
C. 3 - a
D. a - 3
Answer: D
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Use the sum/difference identities to simplify the expression. Do not use a calculator.cos cos
- sin
sin
A.
B.
C. 1
D.
Use the discriminant to determine the number and type of solutions for the given equation.x2 + 12x + 36 = 0
A. two real rational solutions B. two real irrational solutions C. one (repeated) real rational solution D. one (repeated) real irrational solution
Find the vertices and locate the foci for the hyperbola whose equation is given.4y2 - 16x2 = 64
A. vertices: (-4, 0), (4, 0)
foci: (-2, 0), (2
, 0)
B. vertices: (0, -2), (0, 2)
foci: (0, -2), (0, 2
)
C. vertices: (0, -4), (0, 4)
foci: (0, -2), (0, 2
)
D. vertices: (-2, 0), (2, 0)
foci: (-2, 0), (2
, 0)
Find the dimension of the matrix.
A. 6 B. 2 × 3 C. 6, 4, -4, -4, -8, 5 D. 3 × 2