document.write( "Question 692038: please help me solve these equations\r
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document.write( "label the endpoints of the axis
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document.write( "x^2/4+(y-1)^2/25=1\r
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document.write( "complete the square and write in standard form
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document.write( "x^2+y^2-10x-4y=9 \n" );
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Algebra.Com's Answer #427141 by lwsshak3(11628) ![]() You can put this solution on YOUR website! label the endpoints of the major axis \n" ); document.write( "x^2/4+(y-1)^2/25=1 \n" ); document.write( "This is an equation of an ellipse with vertical major axis \n" ); document.write( "Its standard form: (x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k)=(x,y) coordinates of center \n" ); document.write( "For given equation: \n" ); document.write( "center: (0,1) \n" ); document.write( "a^2=√25 \n" ); document.write( "a=√25=5 \n" ); document.write( "vertices: (endpoints of vertical major axis)=(0,1±a), ((),1±5)=(0-5) and (0,5) \n" ); document.write( "... \n" ); document.write( "complete the square and write in standard form \n" ); document.write( "x^2-10x+y^2-4y=9 \n" ); document.write( "(x^2-10x+25)+(y^2-4y+4)=9+25+4 \n" ); document.write( "(x-5)^2+(y-2)^2=38 \n" ); document.write( "This is an equation of a circle with center at (5,2) and radius√38 \n" ); document.write( " |