document.write( "Question 123988: Hi. I'm having trouble figuring out this problem here.\r
\n" ); document.write( "\n" ); document.write( "Find an equation of the circle that satisfies the given conditions.
\n" ); document.write( "Center (-3, 4); passes through (10, 4)
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Algebra.Com's Answer #90930 by solver91311(24713)\"\" \"About 
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\n" ); document.write( "The equation for a circle with center (h,k) and radius r is:\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "The distance between the center of a circle and any point on the circle is
\n" ); document.write( "the measure of the radius. To calculate the distance between two points, use
\n" ); document.write( "the distance formula:\r
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\n" ); document.write( "\n" ); document.write( "\"d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29\"
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\n" ); document.write( "Solution
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\n" ); document.write( "You are given the center of the circle as (-3,4) so we know that
\n" ); document.write( "h=-3 and
\n" ); document.write( "k=4\r
\n" ); document.write( "\n" ); document.write( "The circle radius is the distance from (-3,4) to (10, 4). In this case, you
\n" ); document.write( "don't actually have to use the distance formula because the y-coordinates of
\n" ); document.write( "the two points are equal and the distance formula degenerates to the square
\n" ); document.write( "root of the square of the difference in the x-coordinates. In other words,
\n" ); document.write( "the distance is found by the absolute value of the difference in the
\n" ); document.write( "x-coordinates.\r
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\n" ); document.write( "\n" ); document.write( "\"abs%28-3-10%29=abs%28-13%29=13\"\r
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\n" ); document.write( "\n" ); document.write( "Now we have sufficient information to write the desired equation:\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-%28-3%29%29%5E2%2B%28y-4%29%5E2=13%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "You can simplify and put the equation in standard form, if you like, but unless
\n" ); document.write( "instructed to do so, I wouldn't go to all that effort.
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