document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058407>Question 1058407</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of the triangle formed by the x- and y- axes and the line 12x + 10y = 30. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673454 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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=673454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The x- and y- axes and the line 12x + 10y = 30 form a right triangle with the 90 degree angle at the origin.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To determine the base and height of the triangle, find the x- and y-intercepts of the given line.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To find the x-intercept, set y = 0 and solve for x:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "12x + 10(0) = 30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "12x = 30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = 30/12\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = 2.5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To find the y-intercept, set x = 0 and solve for y:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "12(0) + 10y = 30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "10y = 30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The base of triangle is 2.5, and the height is 3.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The area is then:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Area = (1/2)(base)(height) = (1/2)(2.5)(3) = 3.75 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );