document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068273>Question 1068273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation(s) of the circle(s) of radius 4 with center on the line 4x + 3y + 7 = 0 and tangent to 3x + 4y + 34 = 0<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #683503 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=683503\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation(s) of the circle(s) of radius 4 with center on the line 4x + 3y + 7 = 0 and tangent to 3x + 4y + 34 = 0<BR>\n" );
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document.write( "There are 2 circles.<BR>\n" );
document.write( "Find the equations of the 2 lines parallel to 3x + 4y + 34 = 0 and 4 units from it.<BR>\n" );
document.write( "3x + 4y + 34 = 0<BR>\n" );
document.write( "y = (-3/4)x - 17/2<BR>\n" );
document.write( "Slope m of 3x + 4y + 34 = 0 is -3/4.<BR>\n" );
document.write( "Difference in y-ints = 4/(cos(atan(-3/4)) = 5<BR>\n" );
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document.write( "--> the 2 parallel lines are:<BR>\n" );
document.write( "y = (-3/4)x - 17/2 + 5 = (-3/4)x - 7/2<BR>\n" );
document.write( "and y = (-3/4)x - 17/2 - 5  = (-3/4)x - 27/2<BR>\n" );
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document.write( "The intersection of those 2 lines and 4x + 3y + 7 = 0 are the 2 centers of the circles, (h,k).<BR>\n" );
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document.write( "4x + 3y + 7 = 0<BR>\n" );
document.write( "y = (-3/4)x - 7/2<BR>\n" );
document.write( "4x -9x/4 - 21/2 = -7<BR>\n" );
document.write( "7x/4 = 7/2<BR>\n" );
document.write( "x = 2, y = -5<BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2+%2B+%28y%2B5%29%5E2+=+16 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2+%2B+%28y%2B5%29%5E2+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Find the other circle the same way.<BR>\n" );
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document.write( "email via the TY note for help or to check your work.\r<BR>\n" );
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