document.write( "Question 145220: What is the distance between the points (-2 square root of 7, 10) and (4 squareroot of 7, 8)? \n" ); document.write( "
Algebra.Com's Answer #105889 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\"d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29\" Start with the distance formula.\r
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\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%28-2%2Asqrt%287%29-4%2Asqrt%287%29%29%5E2%2B%2810-8%29%5E2%29\" Plug in \"x%5B1%5D=-2%2Asqrt%287%29\", \"x%5B2%5D=4%2Asqrt%287%29\", \"y%5B1%5D=10\", and \"y%5B2%5D=8\".\r
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\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%28-6%2Asqrt%287%29%29%5E2%2B%282%29%5E2%29\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"d=sqrt%2836%2A7%2B4%29\" Square each term\r
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\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28252%2B4%29\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28256%29\" Add \r
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\n" ); document.write( "\n" ); document.write( "\"d=16\" Take the square root of 256 to get 16\r
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\n" ); document.write( "\n" ); document.write( "So our answer is \"d=16\" \r
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\n" ); document.write( "\n" ); document.write( "So the distance between the two points is 16 units. \r
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