Apoint t on a segment with endpoints d (1, 4) and f (7, 1) partitions the segment in a 3: 1 ratio. find t. you must show all work to receive credit.

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step-by-step explanation:

if we have a line segment with starting point d(a, b) and end point f(c, d) and we know that point t(h, g) divide the line segment into an x: y ratio, then the coordinates of the t point (h, g) will be:

  and  

in this case the points are:

d(1, 4) and f(7, 1)

we know that t   partitions the segment in a 3: 1 ratio

so: and

finally, the coordinates of point t are:

then the point t is: or

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step-by-step explanation:

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