10. B is the point (p, 0) on the x-axis. A vertical line is drawn from B and cuts the line 3x + 2y - 18 = 0 at the point A. (a) Find the coordinates of A in terms of p. [(p. - p +9)] (b) The triangle bounded by AB, the line 3x + 2y - 18 = 0 and the x-axis has an area of 12 u². [(2,6)] Find the possible coordinates of A. [(10,-6)]

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
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10. B is the point (p, 0) on the x-axis. A vertical line is drawn from B and cuts the line 3x + 2y - 18 = 0 at
the point A.
(a) Find the coordinates of A in terms of p.
[ (p, − } p + 9) ]
(b) The triangle bounded by AB, the line 3x + 2y - 18 = 0 and the x-axis has an area of 12 u². [(2,6)]
Find the possible coordinates of A.
[(10,-6)]
Transcribed Image Text:10. B is the point (p, 0) on the x-axis. A vertical line is drawn from B and cuts the line 3x + 2y - 18 = 0 at the point A. (a) Find the coordinates of A in terms of p. [ (p, − } p + 9) ] (b) The triangle bounded by AB, the line 3x + 2y - 18 = 0 and the x-axis has an area of 12 u². [(2,6)] Find the possible coordinates of A. [(10,-6)]
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