document.write( "Question 619258: Find the standard form of a sphere which A(8,-2,5) and B(6,4,-1) are endpoints of a diameter. \n" ); document.write( "

Algebra.Com's Answer #389501 by Alan3354(69443) $\"\"$ $\"About$

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Find the standard form of a sphere which A(8,-2,5) and B(6,4,-1) are endpoints of a diameter.
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\n" ); document.write( "Find the center by finding the average of x, y & z separately.
\n" ); document.write( "x: (8+6)/2 = 7
\n" ); document.write( "y: (-2+4)/2 = 1
\n" ); document.write( "z: (5-1)/2 = 2
\n" ); document.write( "Center at (7,1,2)
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\n" ); document.write( "r = the distance from the center to either point
\n" ); document.write( " $\"r%5E2+=+diffz%5E2+%2B+diffy%5E2+%2B+diffx%5E2+=+3%5E2+%2B+3%5E2+%2B+1%5E2+=+19\"$
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\n" ); document.write( " $\"%28x-7%29%5E2+%2B+%28y-1%29%5E2+%2B+%28z-2%29%5E2+=+19\"$
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