document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=792785>Question 792785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine if the circles defined by each pair of equations intersect<BR>\n" );
document.write( "a)x^2 + y^2 - 10x + 2y + 17 = 0 , x^2 + y^2 + 6x + 14y + 9 = 0<BR>\n" );
document.write( "b)x^2 + y^2 - 4x + 6y + 9 = 0 , x^2 + y^2 - 2x - 4y - 8 = 0 \r<BR>\n" );
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document.write( "Can you please help me out? Thank you so much in advance:)\r<BR>\n" );
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document.write( "Can you also please show the steps it would really help me understand better:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #480138 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=480138\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine if the circles defined by each pair of equations intersect<BR>\n" );
document.write( "a)x^2 + y^2 - 10x + 2y + 17 = 0 , x^2 + y^2 + 6x + 14y + 9 = 0<BR>\n" );
document.write( "Find the center and the radius of each circle.<BR>\n" );
document.write( "Put the equations in standard form by completing the squares.<BR>\n" );
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document.write( "x^2 + y^2 - 10x + 2y + 17 = 0<BR>\n" );
document.write( "x^2 - 10x + y^2+ 2y = -17<BR>\n" );
document.write( "x^2-10x+25 + y^2+2y+1 = -17 + 25 + 1 = 9<BR>\n" );
document.write( "(x-5)^2 + (y+1)^2 = 3^2<BR>\n" );
document.write( "--> circle of radius 3, center at (5,-1)<BR>\n" );
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document.write( "x^2 + y^2 + 6x + 14y + 9 = 0<BR>\n" );
document.write( "Do the 2nd eqn the same way.<BR>\n" );
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document.write( "Then, if sum of the 2 radii are less than the distance between the 2 centers, they don't intersect.<BR>\n" );
document.write( "If it's equal, they're tangent, 1 intersection<BR>\n" );
document.write( "It the sum is greater than the distance, there are 2 intersections.<BR>\n" );
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document.write( "Email via the TY note for help, or to check your work.<BR>\n" );
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document.write( "dl the FREE graph software at<BR>\n" );
document.write( "http://www.padowan.dk<BR>\n" );
document.write( "to graph them.<BR>\n" );
document.write( "Use F6 to enter them as they are.<BR>\n" );
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document.write( "b)x^2 + y^2 - 4x + 6y + 9 = 0 , x^2 + y^2 - 2x - 4y - 8 = 0  </SPAN>\n" );
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