document.write( "Question 448875: please solve this and graph: 36y^2 + 216y - 4x^2 - 40x +80 = 0\r
\n" ); document.write( "\n" ); document.write( "thanks so much.
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Algebra.Com's Answer #308851 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi
\n" ); document.write( "36y^2 + 216y - 4x^2 - 40x +80 = 0
\n" ); document.write( "[36(y+3)^2 - 9] -4[(x+5)^2 -25] = -80 |Multiplying thru by -1
\n" ); document.write( " 36(y+3)^2 - 324 -4(x+5)^2 + 100 = -80
\n" ); document.write( " 36(y+3)^2 -4(x+5)^2 = 144
\n" ); document.write( " \"%28y%2B3%29%5E2%2F4+-%28x%2B5%29%5E2%2F36+=+1+\"
\n" ); document.write( "Hyperbola opening up and down: C(-5,-3) Vertices (-5,-1) and (-5,-5
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\n" ); document.write( "\n" ); document.write( "Standard Form of an Equation of a Circle is \"%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2\"
\n" ); document.write( "where Pt(h,k) is the center and r is the radius\r
\n" ); document.write( "\n" ); document.write( " Standard Form of an Equation of an Ellipse is \"%28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+\"
\n" ); document.write( "where Pt(h,k) is the center and a and b are the respective vertices distances from center.\r
\n" ); document.write( "\n" ); document.write( "Standard Form of an Equation of an Hyperbola is \"%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1\" where Pt(h,k) is a center with vertices 'a' units right and left of center.
\n" ); document.write( "Standard Form of an Equation of an Hyperbola opening up and down is:
\n" ); document.write( " \"%28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1\" where Pt(h,k) is a center with vertices 'b' units up and down from center.\r
\n" ); document.write( "\n" ); document.write( "Using the vertex form of a parabola opening up or down, \"y=a%28x-h%29%5E2+%2Bk\"
\n" ); document.write( " where(h,k) is the vertex
\n" ); document.write( " The standard form is \"%28x+-h%29%5E2+=+4p%28y+-k%29\", where the focus is (h,k + p) \n" ); document.write( "
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