document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206417>Question 1206417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question: Find an equation for a circle with center ( ―2, 3), tangent (touching at one point) to the y-axis.\r<BR>\n" );
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document.write( "My Attempt: <BR>\n" );
document.write( "Formula for a circle: (x-h)^2+(y-k)^2=r^2<BR>\n" );
document.write( "(x+2)^2+(y-3)^2=r^2<BR>\n" );
document.write( "Would this be the final equation? And if I am given a specific point that passes through the y-axis I would substitute that given ordered pair into x and y and solve for r^2, then replace it back into the original equation correct? <BR>\n" );
document.write( "For example: Center = (-2,3) passes through (3,7)<BR>\n" );
document.write( "(3+2)^2+(7-3)^2=r^2<BR>\n" );
document.write( "sqrt(41)=r<BR>\n" );
document.write( "Final equation = (x+2)^2+(y-3)^2=sqrt(41) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843879 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53751)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=843879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "The problem contains a tip to you to determine the radius.\r<BR>\n" );
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document.write( "Since the center is the point &nbsp;(-2,3), &nbsp;from it you &nbsp;IMMEDIATELY conclude that <BR>\n" );
document.write( "the radius of the circle is &nbsp;2 &nbsp;units, &nbsp;since the circle touches &nbsp;y-axis.\r<BR>\n" );
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document.write( "As soon as you know the center and the radius, &nbsp;the rest is just obvious.\r<BR>\n" );
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document.write( "The final equation of the circle is\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-3%29%5E2 ALIGN=MIDDLE  ALT=\"%28y-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2 ALIGN=MIDDLE  ALT=\"2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,\r<BR>\n" );
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document.write( "or, &nbsp;which is the same\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y-3%29%5E2 ALIGN=MIDDLE  ALT=\"%28y-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4.\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "Never say that the radius is -2, as the other person does.\r<BR>\n" );
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document.write( "A radius of a circle &nbsp;(of any circle) &nbsp;is always a positive value <BR>\n" );
document.write( "and can not be negative.\r<BR>\n" );
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document.write( "You ask in your post, if your logic works.\r<BR>\n" );
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document.write( "No, the logic presented in your post does not work in this problem.\r<BR>\n" );
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document.write( "It does not work, because you try to use some info, which is not given in the problem,<BR>\n" );
document.write( "and try to make conclusions from false/irrelevant premises.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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