SOLUTION: 1) Find the vertices and foci of the ellipse
4x2 + 25y2 - 16x + 100y = -16
2) Find the center and asymptotes of the hyperbola
4x2 - 9y2 - 8x - 18y = 41
3) solve the sy
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Question 38377This question is from textbook Algebra 2 with Trig
: 1) Find the vertices and foci of the ellipse
4x2 + 25y2 - 16x + 100y = -16
2) Find the center and asymptotes of the hyperbola
4x2 - 9y2 - 8x - 18y = 41
3) solve the system x2 + y2 = 16 and x2/16 + y2/9 = 1
4) find the center and radius of the circle
x2 + y2 -4x + 2y = 4
This question is from textbook Algebra 2 with Trig
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
1) Find the vertices and foci of the ellipse
The ellipse has a horizontal major axis. Center is (2,-2).
a=5
b=2
Vertices: (7,-2),(-3,-2),(2,0),(2,-4)
Foci: (2-(21)^(1/2),-2),(2+(21)^(1/2),-2)
2) Find the center and asymptotes of the hyperbola
4x2 - 9y2 - 8x - 18y = 41
This hyperbola has a horizontal transverse axis. The center is (1,-1). The slope of the asymptotes is b/a or -b/a. a=3 and b=2
or
3) solve the system x^2 + y^2 = 16 and x^2/16 + y^2/9 = 1
for ,
Plug in:
Plug in:
(4,0) and (-4,0) are your answers
4) find the center and radius of the circle
The center is (2,-1) and the radius is 3.
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