Friday

February 27, 2015

February 27, 2015

Posted by **amaa** on Friday, November 30, 2012 at 4:13am.

64x^2 + 81y^2 = 5184

- math -
**kay**, Friday, November 30, 2012 at 4:30amWe have to bring in into form: x^2/a^2+y^2/b^2=1. So dividing everyone by 5184 and simplifying: x^2/81+y^2/64=1

so; x^2/9^2+y^2/8^2=1 therefore a=9 and b=8. Vertices on x-axis (9,0)&(-9,0) on y-axis (0,8)&(0,-8). foci: (c,0)&(-c,0) where c^2=a^2-b^2 so c^2=81-64=17 so c= sqrt71. Locus: (sqrt71,0)&(-sqrt71,0)

eccentricity e=c/a so e= sqrt71/9

try to do the others yourself

**Answer this Question**

**Related Questions**

Math - Find the center, vertices, foci, and eccentricity of the ellipse. 9x^2 + ...

math - Find the vertices, foci and eccentricity of the ellipse.Thank you 9x^2 + ...

math - Find the vertices, foci, and eccentricity of the ellipse. Thank you. x^2/...

algebra 2 - Graph the equation. Identify the vertices, co-vertices, and foci of ...

algebra - An ellipse has foci (0,+-3) and vertices (0,+-4). What is the ...

algebra - Find the vertices and foci of this ellipse 4x^2+16y^2+64x+64y+256=0

maths - Given that the ellipse x^2/a^2 + y^2/b^2 =1 has foci at(+/-ae,0)where e ...

Analytic Geometry - Find the vertices, foci, eccentricity and length of the ...

Math - Find the center, vertices, foci, and eccentricity of the ellipse. 9x^2 + ...

Algebra 2 - Choose the equation that best represents an ellipse for the given ...