find a point e on cd such that the ratio of ce to cd is 3/8.-7-5-3-1

The question is asking to choose among the following choices that states the value of the point e if the ration of ce to cd is 3/8, base on that and on my further calculation, I would say that the value of point e is -1. I hope you are satisfied with my answer and feel free to ask for more

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calculista calculista · Answer 2 · 2018-08-03T11:35:23-04:00

the picture in the attached figure

we have

the x- coordinate of point C is equal to \(-9\)

the x- coordinate of point D is equal to \(7\)

Find the distance CD

the distance CD is equal to

\(dCD=7-(-9)\\ dCD=16 units\)

we know that

\(\frac{CE}{CD} =\frac{3}{8} \\ \\ 8CE=3CD\\ CE=\frac{3}{8}CD\)

Find the distance CE

\(CE=\frac{3}{8}CD\\ \\ CE=\frac{3}{8}*16\\ \\ CE=6units\)

Find the coordinate of point E

\(Point.E=Point.C+distance.CE\\ Point.E=-9+6\\ Point.E=-3\)

therefore

the answer is

The coordinate of point E is \(-3\)