document.write( "Question 923980: I just want to check if my answer is correct.\r
\n" ); document.write( "\n" ); document.write( "The problem is: Find the center of the circle passing through (9,-2),(2,5),(-3,6).
\n" ); document.write( "My answer is: (-3,-7)
\n" ); document.write( "

Algebra.Com's Answer #560524 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "I just want to check if my answer is correct.\r
\n" ); document.write( "\n" ); document.write( "The problem is: Find the center of the circle passing through (9,-2),(2,5),(-3,6).
\n" ); document.write( "My answer is: (-3,-7)
\n" ); document.write( "

\n" ); document.write( "That's correct!!\r
\n" ); document.write( "\n" ); document.write( "Plug each point into the center-radius equation, since each radius will have the same center point
\n" ); document.write( "(h, k), and radius, r
\n" ); document.write( "
\n" ); document.write( "(9, - 2)

\n" ); document.write( "\"%28x+-+h%29%5E2++%2B+%28y+-+k%29%5E2+=+r%5E2\"
\n" ); document.write( "\"%289+-+h%29%5E2++%2B+%28-+2+-+k%29%5E2+=+r%5E2\"
\n" ); document.write( "\"81+-+18h+%2B+h%5E2+%2B+4+%2B+4k+%2B+k%5E2+=+r%5E2\"
\n" ); document.write( "\"h%5E2+-+18h+%2B+k2+%2B+4k+-+r%5E2+=+-+85\" ------- eq (i)
\n" ); document.write( "
\n" ); document.write( "(2, 5)

\n" ); document.write( "\"%28x+-+h%29%5E2++%2B+%28y+-+k%29%5E2+=+r%5E2+\"
\n" ); document.write( "\"%282+-+h%29%5E2++%2B+%285+-+k%29%5E2++=++r%5E2+\"
\n" ); document.write( "\"4+-+4h+%2B+h%5E2+%2B+25+-+10k+%2B+k%5E2+=+r%5E2\"
\n" ); document.write( "\"h%5E2+-+4h+%2B+k%5E2+-+10k+-+r%5E2+%2B+4+%2B+25+=+0\"
\n" ); document.write( "\"h%5E2+-+4h+%2B+k%5E2+-+10k+-+r%5E2+=+-+29\" ------- eq (ii)
\n" ); document.write( "
\n" ); document.write( "(- 3, 6)

\n" ); document.write( "\"%28x+-+h%29%5E2++%2B+%28y+-+k%29%5E2+=+r%5E2\"
\n" ); document.write( "\"%28-+3+-+h%29%5E2++%2B+%286+-+k%29%5E2++=++r%5E2+\"
\n" ); document.write( "\"9+%2B+6h+%2B+h%5E2+%2B+36+-+12k+%2B+k%5E2+=+r%5E2\"
\n" ); document.write( "\"h%5E2+%2B+6h+%2B+k%5E2+-+12k+-+r%5E2+%2B+9+%2B+36+=+0\"
\n" ); document.write( "\"h%5E2+%2B+6h+%2B+k%5E2+-+12k+-+r%5E2+=+-+45\" ------- eq (iii)\r
\n" ); document.write( "\n" ); document.write( "\"h%5E2+-+18h+%2B+k2+%2B+4k+-+r%5E2+=+-+85\" ------- eq (i)
\n" ); document.write( "\"h%5E2+-+4h+%2B+k%5E2+-+10k+-+r%5E2+=+-+29\" ------ eq (ii)
\n" ); document.write( "– 14h + 14k = - 56 ------ Subtracting eq (ii) from eq (i)
\n" ); document.write( "– 14(h - k) = - 14(4)
\n" ); document.write( "h - k = 4 ----------- eq (iv)\r
\n" ); document.write( "\n" ); document.write( "\"h%5E2+-+4h+%2B+k%5E2+-+10k+-+r%5E2+=+-+29\" ------ eq (ii)
\n" ); document.write( "\"h%5E2+%2B+6h+%2B+k%5E2+-+12k+-+r%5E2+=+-+45\" ------ eq (iii)
\n" ); document.write( "– 10h + 2k = 16 ------ Subtracting eq (iii) from eq (ii)
\n" ); document.write( "- 2(5h - k) = - 2(- 8)
\n" ); document.write( "5h - k = - 8 --------- eq (v)\r
\n" ); document.write( "\n" ); document.write( " h - k = 4 -------- eq (iv)
\n" ); document.write( " 5h - k = - 8 -------- eq (v)
\n" ); document.write( "- 4h = 12 -------- Subtracting eq (v) from eq (iv)
\n" ); document.write( " \"h+=+12%2F%28-+4%29\", or – 3 \r
\n" ); document.write( "\n" ); document.write( "- 3 - k = 4 ----- Substituting - 3 for h in eq (iv)
\n" ); document.write( " - k = 4 + 3
\n" ); document.write( " – k = 7
\n" ); document.write( " \"k+=+7%2F%28-+1%29\", or - 7
\n" ); document.write( "With h = - 3, and k = - 7, center coordinate point (h, k) is: \"highlight_green%28highlight_green%28system+%28h+=+-+3%2C+k+=+-+7%29%29%29\" \n" ); document.write( "
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