document.write( "Question 752343: Point A is the origin. Find the coordinates of the two points that are 5 units distant from A, and have x-coordinates of +3. (Hint: Make a sketch. The two points fall on the line x=5, and therefore have coordinates (5,y) where y is unknown. Use the distance formula, suitably rearranged.) \n" ); document.write( "
Algebra.Com's Answer #457677 by reviewermath(1029)\"\" \"About 
You can put this solution on YOUR website!
Q:
\n" ); document.write( "Point A is the origin. Find the coordinates of the two points that are 5 units distant from A, and have x-coordinates of +3. (Hint: Make a sketch. The two points fall on the line x=\"highlight%283%29\", and therefore have coordinates (\"highlight%283%29\",y) where y is unknown. Use the distance formula, suitably rearranged.)
\n" ); document.write( "------------------------------------------------------------------
\n" ); document.write( "A:
\n" ); document.write( "The distance between the origin and (3, y) is
\n" ); document.write( "\"sqrt%28%28y+-+0%29%5E2+%2B+%283+-+0%29%5E2%29\" = 5
\n" ); document.write( "\"sqrt%28y%5E2+%2B+9%29\" = 5, square both sides
\n" ); document.write( "\"y%5E2+%2B+9\" = 25
\n" ); document.write( "\"y%5E2+\" = 16, get the square root of both sides
\n" ); document.write( "y = ±4
\n" ); document.write( "The two points are (3,4) and (3,-4).
\n" ); document.write( "
\n" ); document.write( "
\n" );