document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=815705>Question 815705</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The abscissa of a point is two-fifths of its ordinate. Find the point if it is 5 units from (-2,2). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491163 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=491163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> point1 (x,y)<BR>\n" );
document.write( "x = (2/5)y<BR>\n" );
document.write( "y = (5/2)x<BR>\n" );
document.write( "point2 (-2,2)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "distance between two points:<BR>\n" );
document.write( "d = sqrt( dx^2 + dy^2 )<BR>\n" );
document.write( "where:<BR>\n" );
document.write( "dx is the difference between the x-coordinates<BR>\n" );
document.write( "dy is the difference between the y-coordinates<BR>\n" );
document.write( "---<BR>\n" );
document.write( "d = sqrt( dx^2 + dy^2 )<BR>\n" );
document.write( "5 = sqrt( (x + 2)^2 + ((5/2)x - 2)^2 )<BR>\n" );
document.write( "25 = (x + 2)^2 + ((5/2)x - 2)^2<BR>\n" );
document.write( "25 = (x + 2)(x + 2) + ((5/2)x - 2)((5/2)x - 2)<BR>\n" );
document.write( "25 = xx + 4x + 4 + (25/4)xx - 10x + 4<BR>\n" );
document.write( "25 = (4/4)xx + (25/4)xx - 6x + 8<BR>\n" );
document.write( "(29/4)xx - 6x - 17 = 0<BR>\n" );
document.write( "7.25xx - 6x - 17 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=7.25, b=-6, and c=-17<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, plug this:<BR>\n" );
document.write( "7.25 -6 -17<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the roots of the quadratic are:<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "x = -1.17241379<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "both roots are valid values of x for point1<BR>\n" );
document.write( "(i.e. both roots answer the question as to what is the value of x for point1.)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "point1: (2, 5)<BR>\n" );
document.write( "or <BR>\n" );
document.write( "point1: (-1.17241379, -2.9310343)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );