document.write( "Question 636257: Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the
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document.write( "circle.
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document.write( "x^2+y^2+8x+2y+8=0
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document.write( "I am having trouble with the steps involved. \n" );
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Algebra.Com's Answer #400860 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the \n" ); document.write( "circle. \n" ); document.write( "x^2+y^2+8x+2y+8=0 \n" ); document.write( "** \n" ); document.write( "Standard form of equation for a circle: \n" ); document.write( "x^2+y^2+8x+2y+8=0 \n" ); document.write( "complete the square \n" ); document.write( "x^2+8x+y^2+2y+8=0 \n" ); document.write( "(x^2+8x+16)+(y^2+2y+1)=-8+16+1 \n" ); document.write( "Equation: \n" ); document.write( " \n" ); document.write( ".. \n" ); document.write( "r^2=9 \n" ); document.write( "radius=3 \n" ); document.write( ".. \n" ); document.write( "center:(-4,-1) \n" ); document.write( ".. \n" ); document.write( "x-intercepts: \n" ); document.write( "set y=0 \n" ); document.write( "(x+4)^2+1=9 \n" ); document.write( "(x+4)^2=8 \n" ); document.write( "x+4=±√8 \n" ); document.write( "x=-4±√8 \n" ); document.write( "x≈-6.83 \n" ); document.write( "or \n" ); document.write( "x≈-1.17 \n" ); document.write( ".. \n" ); document.write( "See graph below: \n" ); document.write( "y=±(9-(x+4)^2)^.5-1\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |