document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=554022>Question 554022</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need your help:\r<BR>\n" );
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document.write( "the abscissa of a point on the fourth quadrant is numerically 3 times its ordinate and is 10 units from (-2,4). find the point.\r<BR>\n" );
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document.write( "i can't imagine this problem so i can't start solving it. i also don't know how to answer that one. please i need your help to answer that question... that really helps me a lot to understand the lesson involving that problem....\r<BR>\n" );
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document.write( "THANK YOU!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #361165 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=361165\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the abscissa of a point on the fourth quadrant is numerically 3 times its ordinate and is 10 units from (-2,4). find the point.<BR>\n" );
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document.write( "Let the point be (x,y)<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "x = 3y<BR>\n" );
document.write( "10 = sqrt[(x+2)^2+(y-4)^2]<BR>\n" );
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document.write( "Substitute for \"x\" and solve for \"y\":<BR>\n" );
document.write( "10 = sqrt[(3y+2)^2 + (y-4)^2]<BR>\n" );
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document.write( "100 = 9y^2+12y+4 + y^2-8y+16<BR>\n" );
document.write( "10y^2+4y+20 = 100<BR>\n" );
document.write( "5y^2 + 2y-40 = 0<BR>\n" );
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document.write( "y = 2.6355 or y = -3.0355<BR>\n" );
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document.write( "The 4th quadrant has y being negative and x being positive<BR>\n" );
document.write( "But x = 3y implies that x and y have the same sign.<BR>\n" );
document.write( "There is a contradiction here.<BR>\n" );
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document.write( "If x = 2.6355, y = 7.9065 (this point would be in the 1st quadrant)<BR>\n" );
document.write( "If x = -3.0355, y = -9.1065 (this point would be in the 3rd quadrant)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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