Use the discriminant to determine whether the graph of the equation is an ellipse (or circle), a hyperbola, or a parabola.3x2 + 6xy + 3y2 + 7x - 3y = 0
A. Hyperbola
B. Ellipse or circle
C. Parabola
Answer: B
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Solve the problem.An oil storage tank can be described as the volume generated by revolving the area bounded by
about the x-axis. Find the volume
of the tank.
A. 44.3 m3 B. 1320 m3 C. 1.85 m3 D. 177 m3
Which of the following is not a justification of being able to construct a parallelogram? ?
A. ?Construction techniques create a quadrilateral with opposite sides congruent. B. ?Construction techniques create a quadrilateral with opposite sides parallel. C. ?Construction techniques create a quadrilateral with opposite congruent angles. D. ?Construction techniques create a quadrilateral with all angles congruent. E. ?None of the above.
Find: a. The center and radius of the circle. b. The x- and y-intercepts of the graph of the circle.x2 + y2 - 2x + 2y - 6 = 0
A. a. center = (1, -1); radius = 2
b. (1 + , 0), (1 -
, 0), (0, -1 +
), (0, -1 -
)
B. a. center = (-1, -1); radius = 2
b. (1 + , 0), (0, -1 +
)
C. a. center = (-1, 1); radius = 8
b. (1 + , 0), (0, -1 +
)
D. a. center = (1, -1); radius = 2
b. (-1 + , 0), (-1 -
, 0), (0, 1 +
), (0, 1 -
)
Use the periodic compound interest formula to solve the problem.Find the amount in a savings account at the end of 7 years if the amount originally deposited is $8000 and the interest rate is 7% compounded semiannually. Round to the nearest cent.
A. $14,244.51 B. $12,949.56 C. $10,178.23 D. $115,920.00