Describe all symmetries of the figure shown.
A. 2 lines of symmetry
B. 90° rotation symmetry
C. 1 line of symmetry
D. 180° rotation symmetry
Answer: C
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Identify the equation without applying a rotation of axes.x2 + 12xy + 36y2 - 4x - 2y - 6 = 0
A. ellipse B. hyperbola C. parabola D. not a conic
If and
, find cos ?.
What will be an ideal response?
Solve the problem.If Emery has $2,000 to invest at 7% per year compounded monthly, how long will it be before he has $3,300? If the compounding is continuous, how long will it be? (Round your answers to three decimal places.)
A. 0.091 yrs, 0.715 yrs B. 89.65 yrs, 7.44 yrs C. 0.617 yrs, 0.596 yrs D. 7.175 yrs, 7.154 yrs
Solve the problem.Let a1 = , a2 =
, a3 =
, and b =
.Determine whether b can be written as a linear combination of a1, a2, and a3. In other words, determine whether weights x1, x2, and x3 exist, such that x1 a1 + x2 a2 + x3 a3 = b. Determine the weights x1, x2, and x3 if possible.
A. x1 = 2, x2 = 1, x3 = 0 B. No solution C. x1 = -2, x2 = -1, x3 = 1 D. x1 = -3, x2 = 0, x3 = 1