document.write( "Question 1118318:  Find all the points having an x-coordinate of 9 whose distance from the point (3, -2) is 10.
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document.write( "(9, 13), (9, -7)
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document.write( "(9, 2), (9, -4)
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document.write( "(9, 6), (9, -10)
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document.write( "(9, -12), (9, 8)
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| Algebra.Com's Answer #733589 by htmentor(1343)     You can put this solution on YOUR website! The distance between two points is given by: \n" ); document.write( "d = sqrt((x1-x2)^2+ (y1-y2)^2) \n" ); document.write( "Given: x-coordinate is equal to 9, and the distance is equal to 10 \n" ); document.write( "Thus we have \n" ); document.write( "10^2 = (9-3)^2 + (y+2)^2 \n" ); document.write( "(y+2)^2 = 64 \n" ); document.write( "Solve for y: \n" ); document.write( "y^2 + 4y - 60 = 0 \n" ); document.write( "Factors as (y+10)(y-6) = 0 \n" ); document.write( "Solutions are y = 6, y = -10 \n" ); document.write( "Ans: (9,6), (9,-10) \n" ); document.write( " |