document.write( "Question 1127181: Given that coordinates of P amd Q are (-2,6) and (9,3) , find
\n" ); document.write( "a) cooridantes of point R that lies on y axis such that PR =QR
\n" ); document.write( "b) coordinates of point S that lies on x axis such as PS=QS
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Algebra.Com's Answer #743531 by MathLover1(20850)\"\" \"About 
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given:\r
\n" ); document.write( "\n" ); document.write( "\"P\" amd \"Q\" are (\"-2\",\"6\") and (\"9\",\"3\") , \r
\n" ); document.write( "\n" ); document.write( "find:\r
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\n" ); document.write( "\n" ); document.write( "a) cooridantes of point \"R+\"that lies on \"y\" axis such that \"PR+=QR\"\r
\n" ); document.write( "\n" ); document.write( "if point \"R\" that lies on \"y+\"axis, cooridantes will be (\"0\",\"y\")\r
\n" ); document.write( "\n" ); document.write( "use distance formula to find \"y\"\r
\n" ); document.write( "\n" ); document.write( "(\"0\",\"y\") and (\"-2\",\"6\") \r
\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%28x-x%5B1%5D%29%5E2%2B%28y-y%5B1%5D%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%280%2B2%29%5E2%2B%28y-6%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"d=sqrt%284%2B%28y-6%29%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "(\"0\",\"y\") and (\"9\",\"3\")\r
\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%28x-x1%29%5E2%2B%28y-y1%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%280-9%29%5E2%2B%28y-3%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"d=sqrt%2881%2B%28y-3%29%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "=>\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%284%2B%28y-6%29%5E2%29=sqrt%2881%2B%28y-3%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"4%2By%5E2-12y%2B36=81%2By%5E2-6y%2B9\"\r
\n" ); document.write( "\n" ); document.write( "\"-12y%2B40=-6y%2B90\"\r
\n" ); document.write( "\n" ); document.write( "\"-90%2B40=-6y%2B12y\"\r
\n" ); document.write( "\n" ); document.write( "\"6y=-50\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-8.33\"\r
\n" ); document.write( "\n" ); document.write( "cooridantes of point \"R\": (\"0\",\"-8.33\")\r
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\n" ); document.write( "\n" ); document.write( "proof that \"PR+=QR\"\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Distance Between 2 points
The distance formula is \"sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29\". Plug in the numbers,\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28%280-%28-2%29%29%5E2%29%2B%28%28-8.33-%286%29%29%5E2%29%29\" \r
\n" ); document.write( "\n" ); document.write( "\"sqrt%282%5E2%2B-14.33%5E2%29\" The distance is 14.4688942217434.\r
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\n" ); document.write( "\n" ); document.write( "\"PR+=14.47\"\r
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Solved by pluggable solver: Distance Between 2 points
The distance formula is \"sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29\". Plug in the numbers,\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28%280-%289%29%29%5E2%29%2B%28%28-8.33-%283%29%29%5E2%29%29\" \r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28-9%5E2%2B-11.33%5E2%29\" The distance is 14.4695853430567.\r
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\n" ); document.write( "\n" ); document.write( "\"QR=14.47\"\r
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\n" ); document.write( "\n" ); document.write( "b) \r
\n" ); document.write( "\n" ); document.write( "coordinates of point \"S\" that lies on \"x\" axis such as \"PS=QS\"\r
\n" ); document.write( "\n" ); document.write( " \"S\" that lies on \"x\" axis :(\"x\",\"0\")\r
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\n" ); document.write( "\n" ); document.write( "distance formula again\r
\n" ); document.write( "\n" ); document.write( "(\"x\",\"0\") and (\"-2\",\"6\" )\r
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\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%28x-x1%29%5E2%2B%28y-y1%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%28x%2B2%29%5E2%2B%280-6%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%28x%2B2%29%5E2%2B36%29\"\r
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\n" ); document.write( "\n" ); document.write( "(\"x\",\"0\") and (\"9\",\"3\" )\r
\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%28x-x1%29%5E2%2B%28y-y1%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%28x-9%29%5E2%2B%280-3%29%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%28x-9%29%5E2%2B9%29\"\r
\n" ); document.write( "\n" ); document.write( "=>
\n" ); document.write( "\"sqrt%28%28x%2B2%29%5E2%2B36%29=sqrt%28%28x-9%29%5E2%2B9%29\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B2%29%5E2%2B36=%28x-9%29%5E2%2B9\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B4x%2B4%2B36=x%5E2-18x%2B81%2B9\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"4x%2B40=-18x%2B90\"
\n" ); document.write( "\"4x%2B18x=90-40\"
\n" ); document.write( "\"22x=50\"
\n" ); document.write( "\"x=2.272727272727273\"
\n" ); document.write( "\"x=2.27\"\r
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\n" ); document.write( "\n" ); document.write( "so, the point \"S\" is at (\"2.27\",\"0\")\r
\n" ); document.write( "\n" ); document.write( "proof: PS=QS\r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Distance Between 2 points
The distance formula is \"sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29\". Plug in the numbers,\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28%282.27-%28-2%29%29%5E2%29%2B%28%280-%286%29%29%5E2%29%29\" \r
\n" ); document.write( "\n" ); document.write( "\"sqrt%284.27%5E2%2B-6%5E2%29\" The distance is 7.36429901619971.\r
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\n" ); document.write( "\n" ); document.write( "\"PS=7.36\"\r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Distance Between 2 points
The distance formula is \"sqrt%28%28%28x%5B2%5D-x%5B1%5D%29%5E2%29%2B%28%28y%5B2%5D-y%5B1%5D%29%5E2%29%29\". Plug in the numbers,\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28%28%282.27-%289%29%29%5E2%29%2B%28%280-%283%29%29%5E2%29%29\" \r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28-6.73%5E2%2B-3%5E2%29\" The distance is 7.3683715975784.\r
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\n" ); document.write( "\n" ); document.write( "\"QS=7.36\"\r
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