document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=901076>Question 901076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( " I am stuck on this problem and need help I am not sure how to do this problem.\r<BR>\n" );
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document.write( "using the distance formula,d=sqrt(x2-x1)^2+(y2-y1)^2<BR>\n" );
document.write( "what is the distance between point (-2,2) and point (2,-3) rounded to the nearest tenth?\r<BR>\n" );
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document.write( "a.4.5 units-i picked<BR>\n" );
document.write( "b.57.0 units<BR>\n" );
document.write( "c.1.0 units<BR>\n" );
document.write( "d.6.4 units\r<BR>\n" );
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document.write( "i got this answer i did 2=2=4 and 3+2=5 not sure if its correct.\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 #546439 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=546439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Not even close as you know!<BR>\n" );
document.write( "What happened to using d=sqrt(x2-x1)^2+(y2-y1)^2<BR>\n" );
document.write( " (-2,2) and point (2,-3)<BR>\n" );
document.write( "(-2,2)(2,-3)<BR>\n" );
document.write( "d=sqrt((x2-x1)^2)+(y2-y1)^2)<BR>\n" );
document.write( "d=sqrt(+(2--2)^2)+(-3-2)^2<BR>\n" );
document.write( "d=sqrt(+(4)^2)+(-5)^2<BR>\n" );
document.write( "d=sqrt(16+25)<BR>\n" );
document.write( "d=sqrt(41)<BR>\n" );
document.write( "6.40312424<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=distance_formula.solver>Distance Formula</A></TD></TR>\n" );
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document.write( "  The first point is (x1,y1). The second point is (x2,y2)<BR>\n" );
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document.write( "  Since the first point is (-2, 2), we can say (x1, y1) = (-2, 2)<BR>\n" );
document.write( "  So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+-2 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D+=+2 ALIGN=MIDDLE  ALT=\"y%5B1%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  Since the second point is (2, -3), we can also say (x2, y2) = (2, -3)<BR>\n" );
document.write( "  So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+2 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D+=+-3 ALIGN=MIDDLE  ALT=\"y%5B2%5D+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  Put this all together to get:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+-2 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D+=+2 ALIGN=MIDDLE  ALT=\"y%5B1%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+2 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D+=+-3 ALIGN=MIDDLE  ALT=\"y%5B2%5D+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  Now use the distance formula to find the distance between the two points (-2, 2) and (2, -3)<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2+%2B+%28y%5B1%5D+-+y%5B2%5D%29%5E2%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2+%2B+%28y%5B1%5D+-+y%5B2%5D%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%28%28-2+-+%282%29%29%5E2+%2B+%282+-+%28-3%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%28%28-2+-+%282%29%29%5E2+%2B+%282+-+%28-3%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+-2 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D+=+2 ALIGN=MIDDLE  ALT=\"y%5B1%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+2 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D+=+-3 ALIGN=MIDDLE  ALT=\"y%5B2%5D+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%28%28-2+-+2%29%5E2+%2B+%282+%2B+3%29%5E2%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%28%28-2+-+2%29%5E2+%2B+%282+%2B+3%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%28%28-4%29%5E2+%2B+%285%29%5E2%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%28%28-4%29%5E2+%2B+%285%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%2816+%2B+25%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%2816+%2B+25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%2841%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%2841%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+6.40312423743285 ALIGN=MIDDLE  ALT=\"d+=+6.40312423743285\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  Answer:<BR>\n" );
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document.write( "  The distance between the two points (-2, 2) and (2, -3) is exactly <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2841%29 ALIGN=MIDDLE  ALT=\"sqrt%2841%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > units<BR>\n" );
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document.write( "  The approximate distance between the two points is about 6.40312423743285 units<BR>\n" );
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document.write( "  So again,<BR>\n" );
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document.write( "  Exact Distance: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2841%29 ALIGN=MIDDLE  ALT=\"sqrt%2841%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > units<BR>\n" );
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document.write( "  Approximate Distance: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.40312423743285 ALIGN=MIDDLE  ALT=\"6.40312423743285\"   DISABLED_style= \"max-width:90%; height:auto;\" > units<BR>\n" );
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