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1. |
What is the distance between points with coordinates (1.32, 0.27) and (1.07, -0.33). |
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A. |
0.81 unit |
B. |
1.02 units |
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C. |
0.65 unit |
D. |
0.39 unit |
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Hint |
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2. |
Find the coordinates of the midpoint of the segment with endpoints at (3, -5) and (6, 7). |
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A. |
 |
B. |
 |
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C. |
(9, 2) |
D. |
(4, 1) |
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Hint |
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3. |
Find the length of the latus rectum of the parabola with equation y = 3x2 + 2x - 6. |
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A. |
unit |
B. |
1 unit |
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C. |
unit |
D. |
unit |
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Hint |
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4. |
The focus of a parabola has coordinates (2, 3). The equation of the directrix is x = 0. Find an equation of the parabola. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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5. |
Find the radius of a circle with the equation x2 + y2 + 6x - 10y + 28 = 0. |
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A. |
6 |
B. |
5 |
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C. |
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D. |
3 |
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Hint |
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6. |
Find the coordinates of the foci of an ellipse with equation  |
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A. |
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B. |
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C. |
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D. |
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Hint |
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7. |
Find the coordinates of the center of an ellipse with equation 9x2 + 4y2 - 72x + 16y + 124 = 0. |
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A. |
(4, -2) |
B. |
(4, 2) |
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C. |
(2, 3) |
D. |
(4, 9) |
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Hint |
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8. |
Find the standard form of the equation 2x2 + 2y2 = 8x -16y - 32. |
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A. |
(x - 2)2 + (y + 4)2 = 4 |
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B. |
2x2 + 2y2 - 8x + 16y + 32 = 0 |
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C. |
2(x - 2)2 +2(y + 4)2 = 4 |
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D. |
x2 + y2 - 4x + 8y + 16y + 16 = 0 |
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Hint |
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9. |
The graph of the equation 3x2 + 2y2 + 18x + 21 = 0 is a(n) _____. |
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A. |
hyperbola |
B. |
parabola |
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C. |
ellipse |
D. |
line |
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Hint |
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10. |
Write the equation in standard form. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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11. |
What are the vertices and foci of a hyperbola with equation ? |
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A. |
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B. |
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C. |
7; 65 |
D. |
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Hint |
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12. |
What are the equations of the asymptotes of ? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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13. |
Solve the system . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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14. |
Which graph represents the solution of the system of inequalites  |
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A. |
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B. |
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C. |
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D. |
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Hint |
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