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1. |
What are the coordinates of the midpoint of the segment with endpoints C(2, -4, 6) and D(7, 2, -5)? |
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A. |
(5, 6, -11) |
B. |
(-2.5, -3, 5.5) |
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C. |
(9, -2, 1) |
D. |
(4.5, -1, 0.5) |
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Hint |
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2. |
What are the coordinates of the center and the measure of the radius for the sphere with equation (x + 2)2 + (y - 5)2 + (z - 1)2 = 16? |
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A. |
(2, -5, -1); 4 |
B. |
(2, -5, -1); 16 |
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C. |
(-2, 5, 1); 4 |
D. |
(-2, 5, 1); 16 |
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Hint |
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3. |
Which is the equation of the sphere with its center at (4, -2, 4) and passing through (-1, 0, 3)? |
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A. |
(x - 4)2 + (y + 2)2 + (z - 4)2 = 30 |
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B. |
(x + 1)2 + y2 + (z - 3)2 = 5 |
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C. |
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D. |
(x + 4)2 + (y - 2)2 + (z + 4)2 = 6 |
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Hint |
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4. |
Find the midpoint of the line with endpoints of (-4, -2, 4) and (3, 7, 2). |
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A. |
(-0.5, 2.5, 3) |
B. |
(-1, 4, 2) |
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C. |
(-3.5, -4.5, 1) |
D. |
(-4, 2, 3) |
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Hint |
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5. |
One airplane has coordinates of (15, 25, 62) and a second airplane has coordinates of (2, -14, 92). How far apart are the two planes? |
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A. |
19.1 |
B. |
146.8 |
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C. |
155.2 |
D. |
50.9 |
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Hint |
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