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Answer this please
Segment Partitions

Answer this please Segment Partitions-example-1

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Final answer:

Segment partitions in mathematics involve dividing a line segment into smaller parts or sections, typically used in geometry and algebra.

Step-by-step explanation:

In mathematics, segment partitions refer to dividing a line segment into smaller parts or sections. This concept is commonly used in geometry and algebra. For example, if you have a line segment AB and you want to divide it into three equal parts, you can use a ruler and mark two points - one-third and two-thirds the distance from A to B. These two points will divide the line segment into three equal partitions.

User Famedoro
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Answer:

E = (-2, -1.5), see attached for a plot

Step-by-step explanation:

We want point E such that ...

EC/DC = 3/4 . . . . . . . . the ratio of segment lengths is 3/4

(E -C)/(D -C) = 3/4 . . . . the ratio of coordinate differences is 3/4

4(E -C) = 3(D -C) . . . . . cross multiply

4E = 3D -3C +4C . . . . isolate E term

E = (3D +C)/4 . . . . . . . divide by 4 to find E

__

E = (3(-3, -4) +(1, 6))/4 = (-9+1, -12 +6)/4

E = (-2, -1.5)

The point is plotted in the attached graph.

Answer this please Segment Partitions-example-1
User Asachet
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