1. A triangle has its vertices at (0, 7), (-3, 1), and (2,0). Find the equation of its sides.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.CR: Chapter Review
Problem 1CC
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1. A triangle has its vertices at (0, 7), (-3, 1), and (2,0). Find the equation of its
sides.
2. A right triangle has its right angle at (-4, 1) and the equation of one of its legs
is 2x - 3y + 11 = 0. Find the equation of the other leg.
3. Find the equation of a circle with the points (6, -1) and ( (-2, 3) as the ends of
a diameter.
4. Reduce the equationx + y? + 14x + 8y + 40 = 0 to standard form and
find the center and the radius of the circle.
5. Find the equation of the circle passing through P1 (-3, 6), P2 (-5, 2), and P3 (3,
6).
6. Find the equation of the parabola with vertex at (5, -2) and focus at (5, -4)
7. Determine the standard and general equations of the parabola with focus at
(4, 3), and its directrix the line x=8
Transcribed Image Text:1. A triangle has its vertices at (0, 7), (-3, 1), and (2,0). Find the equation of its sides. 2. A right triangle has its right angle at (-4, 1) and the equation of one of its legs is 2x - 3y + 11 = 0. Find the equation of the other leg. 3. Find the equation of a circle with the points (6, -1) and ( (-2, 3) as the ends of a diameter. 4. Reduce the equationx + y? + 14x + 8y + 40 = 0 to standard form and find the center and the radius of the circle. 5. Find the equation of the circle passing through P1 (-3, 6), P2 (-5, 2), and P3 (3, 6). 6. Find the equation of the parabola with vertex at (5, -2) and focus at (5, -4) 7. Determine the standard and general equations of the parabola with focus at (4, 3), and its directrix the line x=8
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