a point lies on ab¯¯¯¯¯ and is 27 the distance from a to b. point a is located at (1, 10) and point b is located at (20, 18). what are the coordinates of this point?

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27-09-2021
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a point lies on ab¯¯¯¯¯ and is 27 the distance from a to b. point a is located at (1, 10) and point b is located at (20, 18). what are the coordinates of this point?

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erick06 erick06 · Answer 1 · 2021-09-27T16:56:34+02:00

Since the answer choices differ in their first coordinate, it is sufficient to determine that one. The 2: 5 ratio means the distance from A to the point is 2 / (2 + 5) = 2/7 of the total distance A to B. The x-distance from A to B is 20 -1 = 19 units. 2/7 of that is (2/7) -19 = 38/7 = 5 3/7. Adding this value to the x-coordinate of A gives the x-coordinate of the point of interest: 1 + 5 3/7 = 6 3/7. The appropriate answer choice is ... ... (6 3/7, 12 2/7) • ..