document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=387349>Question 387349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a. The point on the x-axis that is equidistant (equal distance) from (8,4) and (-4,2)<BR>\n" );
document.write( "b. The distance between the points (8,2) and (16,2). 8\r<BR>\n" );
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document.write( "c. The distance between the points (2,6) and (12,8).2\r<BR>\n" );
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document.write( "d. The midpoint between (8,2) and (10,6). \r<BR>\n" );
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document.write( "e. The midpoint between (-4, 2) and (-5, 3).<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 #275166 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=275166\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  a. The point on the x-axis that is equidistant (equal distance) from (8,4) and (-4,2)<BR>\n" );
document.write( "The point will be (x,0)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2+=+diffy%5E2+%2B+diffx%5E2 ALIGN=MIDDLE  ALT=\"d%5E2+=+diffy%5E2+%2B+diffx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use d squared, since it will be equal if d is =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2+=+4%5E2+%2B+%288-x%29%5E2+=+2%5E2+%2B+%28-4-x%29%5E2 ALIGN=MIDDLE  ALT=\"d%5E2+=+4%5E2+%2B+%288-x%29%5E2+=+2%5E2+%2B+%28-4-x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+%2B+%288-x%29%5E2+=+4+%2B+%28-4-x%29%5E2 ALIGN=MIDDLE  ALT=\"16+%2B+%288-x%29%5E2+=+4+%2B+%28-4-x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12+%2B+64+-+16x+%2B+x%5E2+=+16+%2B+8x+%2B+x%5E2 ALIGN=MIDDLE  ALT=\"12+%2B+64+-+16x+%2B+x%5E2+=+16+%2B+8x+%2B+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "76 - 16x = 16 + 8x<BR>\n" );
document.write( "60 = 24x<BR>\n" );
document.write( "x = 2.5<BR>\n" );
document.write( "---> (2.5,0)<BR>\n" );
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document.write( "b. The distance between the points (8,2) and (16,2). 8<BR>\n" );
document.write( "8 is right.<BR>\n" );
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document.write( "c. The distance between the points (2,6) and (12,8).2<BR>\n" );
document.write( "How did you get 2?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%28diffy%5E2+%2B+diffx%5E2%29+=+sqrt%2810%5E2+%2B+2%5E2%29+=+sqrt%28104%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%28diffy%5E2+%2B+diffx%5E2%29+=+sqrt%2810%5E2+%2B+2%5E2%29+=+sqrt%28104%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d=~ 10.198 units<BR>\n" );
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document.write( "d. The midpoint between (8,2) and (10,6)<BR>\n" );
document.write( "Find the average of x and y separately<BR>\n" );
document.write( "x: (8 + 10)/2 = 0<BR>\n" );
document.write( "y: (2 + 6)/2 = 4<BR>\n" );
document.write( "--> (0,4)<BR>\n" );
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document.write( "e. The midpoint between (-4, 2) and (-5, 3)<BR>\n" );
document.write( "Same method as d --> (-4.5,2.5)<BR>\n" );
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