document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144966>Question 144966</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. (a) Is the graph of a circle a graph of a function? Yes or no\r<BR>\n" );
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document.write( "(b) Find the center and the radius of the circle represented by the equation<BR>\n" );
document.write( "			x2 + y2 + 10x – 4y – 7 = 0\r<BR>\n" );
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document.write( " 2. Let g(x)= 9-x/6+x\r<BR>\n" );
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document.write( "(a) Find g(–1)\r<BR>\n" );
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document.write( "(b) Find g(t + 1) and simplify.\r<BR>\n" );
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document.write( "(c) Find the domain of the function   \r<BR>\n" );
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document.write( "3.Consider the points (4, –1) and (7, 8).\r<BR>\n" );
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document.write( "	(a) Find the midpoint of the line segment with the given endpoints.\r<BR>\n" );
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document.write( "	(b) Find the distance between the points. Give an exact answer (simplified as much as possible), and also an approximation to three decimal places. \r<BR>\n" );
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document.write( "(c) Find the slope of the line passing through the two given points.\r<BR>\n" );
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document.write( "(d) Find the equation of the line passing through the two given points. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105643 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=105643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. (a) Is the graph of a circle a graph of a function? Yes or no <BR>\n" );
document.write( "(b) Find the center and the radius of the circle represented by the equation<BR>\n" );
document.write( "x^2 + y^2 + 10x – 4y – 7 = 0 <BR>\n" );
document.write( "x^2+10x+25 + y^2 -4y + 4 = 7+25+4<BR>\n" );
document.write( "(x+5)^2 + (y-2)^2 = 36<BR>\n" );
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document.write( "Center: (-5,2) ; radius = 6<BR>\n" );
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document.write( "2. Let g(x)= 9-x/6+x <BR>\n" );
document.write( "(a) Find g(–1)<BR>\n" );
document.write( "g(-1) = (9 + 1)/(6-1) = 2<BR>\n" );
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document.write( "(b) Find g(t + 1) and simplify.<BR>\n" );
document.write( "g(t+1) = (9-(t+1))/(6+(t+1))<BR>\n" );
document.write( "g(t+1) = (8-t)/(7+t)<BR>\n" );
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document.write( "(c) Find the domain of the function <BR>\n" );
document.write( "Let g(x)= 9-x/6+x <BR>\n" );
document.write( "Domain: All Real Numbers except x=-6<BR>\n" );
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document.write( "3.Consider the points (4, –1) and (7, 8). <BR>\n" );
document.write( "(a) Find the midpoint of the line segment with the given endpoints.<BR>\n" );
document.write( "x = (4+7)/2 = 11/2<BR>\n" );
document.write( "y = (-1+8)/2 = 7/2<BR>\n" );
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document.write( "(b) Find the distance between the points. Give an exact answer (simplified as much as possible), and also an approximation to three decimal places.<BR>\n" );
document.write( "d = sqrt[(8--1)^2+(7-4)^2] = sqrt(117)<BR>\n" );
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document.write( "(c) Find the slope of the line passing through the two given points<BR>\n" );
document.write( "slope = (8--1)/(7-4) = 9/3 = 3<BR>\n" );
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document.write( "(d) Find the equation of the line passing through the two given points. <BR>\n" );
document.write( "8 = 3*7 + b <BR>\n" );
document.write( "b = -13<BR>\n" );
document.write( "EQUATION: y = 3x -13<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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