Point a is located at (1, 10) and point b is located at (20, 18). what point partitions the directed line segment ab⎯⎯⎯⎯⎯ into a 2: 5 ratio? (1025, 22) (737, 1557) (637, 1227) (5, 1715)

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)

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the answer is 24

step-by-step explanation: