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earnstyle [38]
2 years ago
8

A point T on a segment with endpoints D(1, 4) and F(7, 1) partitions the segment in a 2:1 ratio. Find T. You must show all work

to receive credit. ​
Mathematics
1 answer:
Phoenix [80]2 years ago
4 0

Using proportions, it is found that the coordinates of point T are given as follows: T(5,2).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, point T partitions the segment DF in a 2:1 ratio, hence:

T - D = \frac{2}{2+1}(F - D)

T - D = \frac{2}{3}(F - D)

This is applied for both coordinates, hence, for the x-coordinate:

x - 1 = \frac{2}{3}(7 - 1)

x - 1 = 4

x = 5

For the y-coordinate:

y - 4 = \frac{2}{3}(1 - 4)

y - 4 = -2

y = 2.

Hence, the coordinates of point T are: T(5,2).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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So, I encourage you to grab a calculator and see for yourself

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Another analogy that can be used is seeing the fraction as a real-life object.

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Hope this has helped!

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