document.write( "Question 1070513: Find all points having an​ x-coordinate of 2 whose distance from the point (−2,−4) is 5.\r
\n" ); document.write( "\n" ); document.write( "I know we must use distance formula, d=√(x2-x1)^2+(y2-y1)^2 \r
\n" ); document.write( "\n" ); document.write( "I though the points would be (-2,-4) and (2,y)\r
\n" ); document.write( "\n" ); document.write( "It would look like 5=√(2-(-2))^2+(-4-y)^2\r
\n" ); document.write( "\n" ); document.write( "simplifies 5 = √(4)^2+(-4-y)^2\r
\n" ); document.write( "\n" ); document.write( "then 5 = √16+(-4-y)^2\r
\n" ); document.write( "\n" ); document.write( "then square to get rid of radicals (5)^2 = ( √16+(-4-y)^2 )^2\r
\n" ); document.write( "\n" ); document.write( "25 = 16 + (-4-y)^2
\n" ); document.write( "9 = (-4 -y)^2
\n" ); document.write( "then square root to get rid of power of 2
\n" ); document.write( "√9 = √(-4-y)^2
\n" ); document.write( "3 = -4-y
\n" ); document.write( "But because +/- from squaring I would get -4-y=3 and -4-y=-3
\n" ); document.write( "Solving I get -7 and -1\r
\n" ); document.write( "\n" ); document.write( "Which would be (2,-7) and (2,-1)\r
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\n" ); document.write( "\n" ); document.write( "I'm not sure if I'm right or messed up entirely
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Algebra.Com's Answer #685587 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
x coordinate of 2 and any y coordinate, 5 units away from the point (-2,-4).\r
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\n" ); document.write( "\n" ); document.write( "You want some points (2,y) which is 5 units distance from (-2,-4).
\n" ); document.write( "\"sqrt%28%282-%28-2%29%29%5E2%2B%28y-%28-4%29%29%5E2%29=5\"
\n" ); document.write( "Work with this equation, to solve for y.\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28%284%29%5E2%2B%28y%2B4%29%5E2%29=5\"\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%2816%2B%28y%2B4%29%5E2%29=5\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "square both sides,
\n" ); document.write( "\"16%2B%28y%2B4%29%5E2=25\"\r
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\n" ); document.write( "\n" ); document.write( "\"y%2B4=0%2B-+3\"\r
\n" ); document.write( "\n" ); document.write( "\"system%28y=-4-3%2Cor%2Cy=-4%2B3%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"system%28y=-7%2Cor%2Cy=-1%29\"
\n" ); document.write( "For the points (2,-7) and (2,-1).
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