document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62902>Question 62902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following statements are true?<BR>\n" );
document.write( "  The point (-2,-3) is in quadrant II of the Cartesian plane.<BR>\n" );
document.write( "  The equation 2x-3y=5 is a linear equation.<BR>\n" );
document.write( "  The distance between the points (-5,1) and (-7,9) is 2^17<BR>\n" );
document.write( "  ^a^2 +b^2=a+b<BR>\n" );
document.write( "This has me all confused, thanks for the help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43731 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=43731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  QUESTION:\r<BR>\n" );
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document.write( "  Which of the following statements are true?<BR>\n" );
document.write( "  The point (-2,-3) is in quadrant II of the Cartesian plane.<BR>\n" );
document.write( "  The equation 2x-3y=5 is a linear equation.<BR>\n" );
document.write( "  The distance between the points (-5,1) and (-7,9) is 2^17<BR>\n" );
document.write( "  ^a^2 +b^2=a+b<BR>\n" );
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document.write( "ANSWERS:\r<BR>\n" );
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document.write( "The point ( -2, -3 )  is in quadrant II of the Cartesian plane.\r<BR>\n" );
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document.write( "No, the point ( -2, -3 ) is not in the II quadrant<BR>\n" );
document.write( "Explanation: \r<BR>\n" );
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document.write( "In the  I quadrant both the x and y coordinates are positive.<BR>\n" );
document.write( "In the  II  quadrant x  coordinate is negative  while y coordinate is +ve.<BR>\n" );
document.write( "In the III  quadrant x coordinate is  -ve and y coordinate is -ve.<BR>\n" );
document.write( "In the IV    quadrant x coordinate is +ve and  y coordinate is -ve.\r<BR>\n" );
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document.write( "So the point ( -2, -3 )  lies in the III quadrant.\r<BR>\n" );
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document.write( "2.The equation 2x-3y=5 is a linear equation.\r<BR>\n" );
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document.write( "Explanation:\r<BR>\n" );
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document.write( "A linear equation is an equation involving only the sum of constants or products of constants and the first power of a variable.\r<BR>\n" );
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document.write( "These equations are called \"linear\" because they represent straight lines in Cartesian coordinates.\r<BR>\n" );
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document.write( "A common form of a linear equation in two variables is y = mx + b, \r<BR>\n" );
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document.write( "(e.g. y = 3x + 5the line crosses the y-axis.\r<BR>\n" );
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document.write( "Equations involving terms such as x^2, y^(1/3), and (xy )are \"non-linear\".\r<BR>\n" );
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document.write( "The given equation 2x-3y=5 is linear because its terms involves only first power of variable.\r<BR>\n" );
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document.write( "3.The distance between the points (-5,1) and (-7,9) is 2^17\r<BR>\n" );
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document.write( "Explanation:\r<BR>\n" );
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document.write( "In coordinate geometry the distance between two points is given by  \r<BR>\n" );
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document.write( "Distance Formula,  d = square root of {( x1 -x2)^2 + ( y1 - y2 )^2}\r<BR>\n" );
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document.write( "here<BR>\n" );
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document.write( "x1= -5<BR>\n" );
document.write( "x2= -7<BR>\n" );
document.write( "y1= 1<BR>\n" );
document.write( "y2= 9\r<BR>\n" );
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document.write( "so, d = square root of {( -5 - -7)^2 + (1- 9 )^2}\r<BR>\n" );
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document.write( "      = square root of {( -5+ 7)^2 + ( 1-9)^2}\r<BR>\n" );
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document.write( "      = square root of {( 2)^2 + ( -8)^2}\r<BR>\n" );
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document.write( "      = square root of {(4 + 64 }\r<BR>\n" );
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document.write( "      = square root of { 68 }\r<BR>\n" );
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document.write( "      = 2 * square root of 17\r<BR>\n" );
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document.write( "      = 2 ( 17 )^1/2\r<BR>\n" );
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document.write( "Last Question is not clear.\r<BR>\n" );
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document.write( "Regards,\r<BR>\n" );
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document.write( "Praseena.\r<BR>\n" );
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document.write( "praseenakos@yahoo.co.in\r<BR>\n" );
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