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1. |
Find an equation of the line that bisects the acute angles formed by the lines with equations 3x + 4y = 8 and 5x + 12y = 16. |
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A. |
8x + 14y - 23 = 0 |
B. |
14x + 8y - 23 = 0 |
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C. |
14x + 8y + 23 = 0 |
D. |
8x + 14y + 23 = 0 |
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Hint |
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2. |
What is the distance between the lines with equations x + y - 5 = 0 and y = -x + 10? |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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3. |
Find the distance between P(5, -3) and the line with equation 5x + 12y = 18. |
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A. |
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B. |
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C. |
13 |
D. |
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Hint |
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4. |
PQR has vertices P(5, 8), Q(9, 5), and R(3, 2). Find the length of the altitude of PQR through point P ( PQR Is not a right triangle, so there is only one altitude through P). |
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A. |
5 |
B. |
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C. |
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D. |
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Hint |
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5. |
PQR has vertices P(5, 8), Q(9, 5), and R(2, 4). Find the equation in standard form of the line that bisects P. |
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A. |
7x + y = 43 |
B. |
x - 7y = -67 |
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C. |
4x + 3y = -4 |
D. |
3x + 4y = 47 |
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Hint |
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