1. The asymptotes of hyperbola H have equations l : 3r – 4y + 11 = 0 and l2 : 3r + 4y – 5 = 0. Let C be the point of intersection of the asymptotes (1 and l2. Solve for the coordinates (a) of point C. (b) vertices V1 and V2 of H. Let F(-1, 12) and F2(-1, -8) be the foci of H. Solve for the coordinates of the (c) Find an equation of the hyperbola H with F and F2 as its foci and with V and V2 as its vertices. (d) Sketch the graph of H and label its foci, vertices, and center.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. The asymptotes of hyperbola H have equations l : 3x- 4y + 11 = 0 and (2 : 3r + 4y- 5 0.
(a)
of point C.
Let C be the point of intersection of the asymptotes (1 and l2. Solve for the coordinates
(b)
vertices V and V2 of H.
Let Fi (-1, 12) and F2 (-1,-8) be the foci of H. Solve for the coordinates of the
(c)
Find an equation of the hyperbola H with Fi and F2 as its foci and with V and V2 as
its vertìces.
(d)
Sketch the graph of H and label its foci, vertices, and center.
2. Given
S12y – r 2 -36
22+4y? < 36
(a)
Sketch the graph of the given system of inequalities and shade the solution region.
(b)
Solve for the points of intersection of the two curves.
Transcribed Image Text:1. The asymptotes of hyperbola H have equations l : 3x- 4y + 11 = 0 and (2 : 3r + 4y- 5 0. (a) of point C. Let C be the point of intersection of the asymptotes (1 and l2. Solve for the coordinates (b) vertices V and V2 of H. Let Fi (-1, 12) and F2 (-1,-8) be the foci of H. Solve for the coordinates of the (c) Find an equation of the hyperbola H with Fi and F2 as its foci and with V and V2 as its vertìces. (d) Sketch the graph of H and label its foci, vertices, and center. 2. Given S12y – r 2 -36 22+4y? < 36 (a) Sketch the graph of the given system of inequalities and shade the solution region. (b) Solve for the points of intersection of the two curves.
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