document.write( "Question 1135669: Find All points having an x-coordinate of 9 distance from the point is (3,-2) is 10 \n" ); document.write( "
Algebra.Com's Answer #753317 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Taking just a LITTLE more time when submitting your post to make it clear would be a good thing to do....

\n" ); document.write( "You wrote: \"Find All points having an x-coordinate of 9 distance from the point is (3,-2) is 10\"

\n" ); document.write( "Try, perhaps: \"Find all points having an x-coordinate of 9, if the distance from the point (3,-2) is 10\"

\n" ); document.write( "You want the distance from (3,2) to (9,y) to be 10.

\n" ); document.write( "You can use the distance formula (aka the Pythagorean Theorem) to solve the problem; but it's not needed.

\n" ); document.write( "The difference in the x coordinates is 6 and the distance is 10; that means you have a right triangle with one leg 6 and hypotenuse 10. That makes the other leg 8. (it is a multiple of the simplest Pythagorean triple, 3-4-5).

\n" ); document.write( "So the two y values are 8 more or less than the y value of the given point.

\n" ); document.write( "(1) 2+8 = 10
\n" ); document.write( "(2) 2-8 = -6

\n" ); document.write( "ANSWERS: (9,10) and (9,-6)
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