document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170095>Question 170095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please help me with this problem? I don't understand. I have to show all work and I don't understand how to do it.<BR>\n" );
document.write( "Solve for the following items:\r<BR>\n" );
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document.write( "a. The point on the x-axis that is equidistant (equal distance) from (12,6) and (8,2).\r<BR>\n" );
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document.write( "b. The distance between the points (6,4) and (18,4).\r<BR>\n" );
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document.write( "c. The distance between the points (1,4) and (19,6).\r<BR>\n" );
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document.write( "d. The midpoint between (12, 6) and (18, 4)\r<BR>\n" );
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document.write( "e. The midpoint between (-6, -8) and (23, 5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125582 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=125582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Y=mX+b m=SLOPE & b=Y INTERCEPT.<BR>\n" );
document.write( "a. The point on the x-axis that is equidistant (equal distance) from (12,6) and (8,2).<BR>\n" );
document.write( "slope=(2-6)/(8-12)=-4/-4=1<BR>\n" );
document.write( "2=1*8+b<BR>\n" );
document.write( "2=8+b<BR>\n" );
document.write( "b=2-8<BR>\n" );
document.write( "b=-6<BR>\n" );
document.write( "Y=X-6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+8%2C+-10%2C+10%2C+x+-6%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+8%2C+-10%2C+10%2C+x+-6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (graph 300x200 pixels, x from -6 to 8, y from -10 to 10, of TWO functions x -6).<BR>\n" );
document.write( "The x axis intercept=6 BUT it is not equal distance from the 2 giv3n points. <BR>\n" );
document.write( "To be equal distances between these 2 points it must be between them.<BR>\n" );
document.write( "X=6 is not between them.<BR>\n" );
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document.write( "b. The distance between the points (6,4) and (18,4).<BR>\n" );
document.write( "18-6=12 is the distance between these 2 points.<BR>\n" );
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document.write( "c. The distance between the points (1,4) and (19,6).<BR>\n" );
document.write( "6-4=2<BR>\n" );
document.write( "19-1=18<BR>\n" );
document.write( "2^2+18^2=d^2<BR>\n" );
document.write( "4+324=d^2<BR>\n" );
document.write( "d=sqrt328<BR>\n" );
document.write( "d=18.11 is the distance between these 2 points.<BR>\n" );
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document.write( "d. The midpoint between (12, 6) and (18, 4)<BR>\n" );
document.write( "6-4=2<BR>\n" );
document.write( "2/2=1<BR>\n" );
document.write( "Y midpoint=6-1=5 or 4+1=5<BR>\n" );
document.write( "18-12=6<BR>\n" );
document.write( "6/2=3<BR>\n" );
document.write( "x midpoint=18-3=15 or 12+3=15<BR>\n" );
document.write( "ans. (15, ,5)<BR>\n" );
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document.write( "e. The midpoint between (-6, -8) and (23, 5)<BR>\n" );
document.write( "5+8=13<BR>\n" );
document.write( "13/2=6.5 the Y midpoint.<BR>\n" );
document.write( "23+6=29<BR>\n" );
document.write( "29/2=14.5 the X midpoint.<BR>\n" );
document.write( "ans. (14.5,6.5) </SPAN>\n" );
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