SOLUTION: Find the vertices, foci, and eccentricity of the ellipse. Determine the lengths of the major and minor axes, and sketch the graph.
1. 4x^2+25y^2=100
2. x^2/16+y^2/25=1
3. 1/
Algebra.Com
Question 930815: Find the vertices, foci, and eccentricity of the ellipse. Determine the lengths of the major and minor axes, and sketch the graph.
1. 4x^2+25y^2=100
2. x^2/16+y^2/25=1
3. 1/2x^2+1/8y^2=1/4
4. y^2=1-2x^2
5. X^2+4y^2=16
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Standard Form of an Equation of an Ellipse is
where Pt(h,k) is the center. (a variable positioned to correspond with major axis)
a and b are the respective vertices distances from center.
The foci distances from center: c = ± where a > b
eccentricity = c/a
.........
4x^2+25y^2=100
C(0,0)
V(5,0),V(-5,0) & V(0,2),V(0,-2)
c =√(25 - 4) = √(21)
eccentricity = √21/5
..........
x^2/16+y^2/25=1
C(0,0)
& V(4,0),V(-4,0) & V(0,5),V(0,-5)
c =√(25 - 16) = 3
eccentricity = 3/5
........
1/2x^2+1/8y^2=1/4
2x^2 + y^2/4 = 1
.........
y^2=1-2x^2
2x^2 + y^2 = 1
.......
X^2+4y^2=16
RELATED QUESTIONS
Hello, I wonder if someone can help me on this homework problem?
Find the vertices,... (answered by lwsshak3)
Graph the ellipse. Specify the lengths of the major and minor axes, the foci, and the... (answered by lwsshak3)
Find the center, vertices, foci, and the lengths of the major and minor axes of the... (answered by lwsshak3)
the endpoints of major and minor axes of an ellipse are (1,1),(3,4),(1,7)and(-1,4).sketch (answered by solver91311,MathLover1)
Find the center, foci, vertices, and lengths of the major and minor axes.
16x^2 - 64x (answered by lwsshak3)
Given the ellipse: 9x2 + 4y2 + 18x - 48y + 117 = 0
a) Put the... (answered by Boreal)
Given the ellipse: 9x2 + 4y2 + 18x - 48y + 117 = 0
a) Put the... (answered by lwsshak3)
What are the coordinates of the center, the lengths of the major and minor axes,... (answered by lwsshak3,MathLover1)
whats are the vertices,foci,length of major and minor axis, and eccentricity of... (answered by ikleyn)