document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199600>Question 1199600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all the points having an x-coordinate of 3 whose distance from the point (-2, -1) is 13 using the Pythagorean Theorem. \r<BR>\n" );
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document.write( "I found the two points using (x - x_0)^2 + (y - y_0)^2 = r^2.\r<BR>\n" );
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document.write( "How can I find the same points using the Pythagorean Theorem?\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833535 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=833535\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The distance formula you used to find the answers IS the Pythagorean Theorem....<br><BR>\n" );
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document.write( "added after student replied, saying the instructions were to find the answers using both the distance formula and the Pythagorean Theorem....<br><BR>\n" );
document.write( "In my opinion, those instructions are absurd.<br><BR>\n" );
document.write( "The Pythagorean Theorem says <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The distance formula says <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+x_0%29%5E2+%2B+%28y+-+y_0%29%5E2+=+r%5E2 ALIGN=MIDDLE  ALT=\"%28x+-+x_0%29%5E2+%2B+%28y+-+y_0%29%5E2+=+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "But <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=x-x_0 ALIGN=MIDDLE  ALT=\"a=x-x_0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=y-y_0 ALIGN=MIDDLE  ALT=\"b=y-y_0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=r ALIGN=MIDDLE  ALT=\"c=r\"   DISABLED_style= \"max-width:90%; height:auto;\" > ; so the two formulas are the same.  Whichever one you use, you are using the same numbers.<br><BR>\n" );
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