SOLUTION: consider the ellipse 9x^2+49y^2=9
Its vertices are (0,+or-A)
Its Foci are (0,+or-B)
Its eccentricity is?
The length of its major and minor axis are?
Algebra.Com
Question 743930: consider the ellipse 9x^2+49y^2=9
Its vertices are (0,+or-A)
Its Foci are (0,+or-B)
Its eccentricity is?
The length of its major and minor axis are?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
consider the ellipse 9x^2+49y^2=9
Its vertices are (0,+or-A)
Its Foci are (0,+or-B)
Its eccentricity is?
The length of its major and minor axis are?
***
I will use standard notation which you can convert to your own notation:
Given ellipse has a horizontal major axis.
Its standard form of equation: ,(a>b), (h,k)=(x,y) coordinates of center.
a^2=1
a=1
length of major axis=2a=2
b^2=9/49
b=3/7
length of minor axis=2b=6/7≈0.8571
c^2=a^2-b^2=1-9/49=49/49-9/49=40/49
c=√(40/49)≈0.9035
eccentricity=c/a=0.9035/1≈0.9035
RELATED QUESTIONS
The vertices of a hyperbola are the points (−3, 2) and (−3, −2) and the length of... (answered by ikleyn)
determine the equation of the hyperbola whose vertices are the foci of the ellipse 11x^2... (answered by lwsshak3)
an ellipse's foci (0,±1) and vertices (0,±2). what is the eccentricity of the... (answered by josgarithmetic)
find the answers of the following:
ellipse:
4X^2+y^2+8X-4y-92=0 find its... (answered by jsmallt9)
find the vertices, center, and foci of the ellipse, and sketc its graph... (answered by Edwin McCravy)
(Ellipse)
25x^2 + 64y^2 - 400x - 600y=0
Find its standard equation, foci, vertices and... (answered by MathLover1)
x^2/25+y^2/16=1
what are its vertices,foci,eccentricty of the ellipse?
length of major (answered by ikleyn)
Consider the elipse 9x^2 + 36y^2=324.
Which of the following statements about the... (answered by Edwin McCravy,mccravyedwin)
1.Find the equation of the ciecle inscribed in a triangle, if the triangle has its sides... (answered by solver91311)