The segment with endpoints A (4, 2) and C (1, 5) is partitioned by a point B such that AB and BC form a 1:3 ratio is (1.75, 4.25)
The middle of the line is known as its midpoint. Given the coordinate points A (4, 2) and C (1, 5) partitioned in the ratio 1:3. The formula for calculating the midpoint is given as:
M(x, y) = {ax1+bx2/a+b, ay1+by2/a+b}
Substitute the given values
M(x, y) = (4(1)+1(3)/1+3, 2(1)+5(3)/1+3)
M(x, y) = (7/4, 17/4)
Hence the segment with endpoints A (4, 2) and C (1, 5) is partitioned by a point B such that AB and BC form a 1:3 ratio is (1.75, 4.25)
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