document.write( "Question 1033358: Write the standard form of the equation for the circle that passes through the points (-2, 30), (-19, -1), and (12, -18). Then identify the center and the radius.\r
\n" ); document.write( "\n" ); document.write( "A.(x - 6)² + (y - 5)² = 625; center (6, 5); r = 25
\n" ); document.write( "B.(x + 5)² + (y + 6)² = 625; center (5, 6); r = 25
\n" ); document.write( "C.(x - 5)² + (y - 6)² = 625; center (5, 6); r = 25
\n" ); document.write( "D.(x + 6)² + (y + 5)² = 625; center (6, 5); r = 25 \n" ); document.write( "

Algebra.Com's Answer #648393 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "Write the standard form of the equation for the circle that passes through the points (-2, 30), (-19, -1), and (12, -18). Then identify the center and the radius.\r
\n" ); document.write( "\n" ); document.write( "A.(x - 6)² + (y - 5)² = 625; center (6, 5); r = 25
\n" ); document.write( "B.(x + 5)² + (y + 6)² = 625; center (5, 6); r = 25
\n" ); document.write( "C.(x - 5)² + (y - 6)² = 625; center (5, 6); r = 25
\n" ); document.write( "D.(x + 6)² + (y + 5)² = 625; center (6, 5); r = 25
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The following sytem of equations, in 3 unkowns (h, k, r), was derived:
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document.write( "Subtracting eq (ii) from (i) and (iii) from (i) yield the following reduced system, in 2 unknowns:
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document.write( "– 17h – 31k = - 271, and
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document.write( "   7h – 24k = - 109
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document.write( "When solved, we find (h, k), or center to be (5, 6)\r
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document.write( "Using the center and one of the given coordinate points result in a radius of 25, so CHOICE C is the correct response. \n" );
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