document.write( "Question 155114: I have a worksheet called dot to dot distance. Using the given grid and the starting point A(2,9), connect the points A through H in alphabetical order. I know how to put the points on the grid. My problem I am working is...plot point B(5,y) where AB=square root sign with 34 inside and y >9. My computer does not have the square root sign. Thank you for your help and I need to see how you got the answer so I can then do the other 6. \n" ); document.write( "
Algebra.Com's Answer #114206 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
Distance between two points:
\n" ); document.write( "http://www.purplemath.com/modules/distform.htm
\n" ); document.write( "\"+d+=+sqrt%28%28X2-X2%29%5E2%2B%28Y2-Y1%29%5E2%29+\"
\n" ); document.write( ".
\n" ); document.write( "In your problem, it states:
\n" ); document.write( "\"+AB=sqrt%2834%29+\"
\n" ); document.write( "This is the \"distance\" (d) between points A and B.
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\n" ); document.write( "Your two points:
\n" ); document.write( "A(2,9)
\n" ); document.write( "B(5,y)
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\n" ); document.write( "Plug the above into the distance formula:
\n" ); document.write( "\"+d+=+sqrt%28%28X2-X2%29%5E2%2B%28Y2-Y1%29%5E2%29+\"
\n" ); document.write( "\"+sqrt%2834%29+=+sqrt%28%285-2%29%5E2%2B%28y-9%29%5E2%29+\"
\n" ); document.write( "squaring both sides we get:
\n" ); document.write( "\"+34+=+%285-2%29%5E2%2B%28y-9%29%5E2+\"
\n" ); document.write( "\"+34+=+3%5E2%2B%28y-9%29%5E2+\"
\n" ); document.write( "\"+34+=+9%2B%28y-9%29%5E2+\"
\n" ); document.write( "\"+25+=+%28y-9%29%5E2+\"
\n" ); document.write( ".
\n" ); document.write( "Taking the square root of both sides. Here, notice that there are TWO different paths you can take -- sqrt(5) can equal -5 or +5. If you chose the -5 route, y would NOT greater than 9. Therefore, choose the +5 route:
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\n" ); document.write( "\"+5+=+y-9+\"
\n" ); document.write( "\"+14+=+y+\" (this is your answer)
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\n" ); document.write( "Reference: If we had taken the -5 route, you would have gotten:
\n" ); document.write( "\"+-5+=+y-9+\"
\n" ); document.write( "\"+4+=+y+\"
\n" ); document.write( "y is NOT >9 -- toss out solution.
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