document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979454>Question 979454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem: Find the equation of a circle that passes through (2,2) and tangent to the lines x=1 and x=6. Thank you in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600716 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=600716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a circle that passes through (2,2) and tangent to the lines x=1 and x=6.<BR>\n" );
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document.write( "The center has to be on the line midway between x=1 and x=6, which is<BR>\n" );
document.write( "x = 3.5<BR>\n" );
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document.write( "The radius is the distance from x=3.5 to the tangent lines, r = 2.5<BR>\n" );
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document.write( "The center is on the line x = 3.5 and is 2.5 units from the point (2,2).<BR>\n" );
document.write( "The circle with its center at (2,2) and r=2.5 is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2+%2B+%28y-2%29%5E2+=+2.5%5E2 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2+%2B+%28y-2%29%5E2+=+2.5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find the intersection of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2+%2B+%28y-2%29%5E2+=+2.5%5E2 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2+%2B+%28y-2%29%5E2+=+2.5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and x=3.5<BR>\n" );
document.write( "Sub 3.5 for x and solve for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283.5-2%29%5E2+%2B+%28y-2%29%5E2+=+2.5%5E2 ALIGN=MIDDLE  ALT=\"%283.5-2%29%5E2+%2B+%28y-2%29%5E2+=+2.5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.25+%2B+y%5E2+-+4y+%2B+4+=+6.25 ALIGN=MIDDLE  ALT=\"2.25+%2B+y%5E2+-+4y+%2B+4+=+6.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+-+4y+=+0 ALIGN=MIDDLE  ALT=\"y%5E2+-+4y+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 0, y = 4<BR>\n" );
document.write( "The 2 centers are (3.5,0) and (3.5,4)<BR>\n" );
document.write( "Can you finish it?\r<BR>\n" );
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