SOLUTION: 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

Algebra ->  Linear-equations -> SOLUTION: 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      Log On


   

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.)
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Q:
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.)
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A:
The distance between the origin and (3, y) is
sqrt%28%28y+-+0%29%5E2+%2B+%283+-+0%29%5E2%29 = 5
sqrt%28y%5E2+%2B+9%29 = 5, square both sides
y%5E2+%2B+9 = 25
y%5E2+ = 16, get the square root of both sides
y = ±4
The two points are (3,4) and (3,-4).