Respuesta :

meerkat18
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 
calculista

the picture in the attached figure

we have

the x- coordinate of point C is equal to [tex] -9 [/tex]

the x- coordinate of point D is equal to [tex] 7 [/tex]

Find the distance CD

the distance CD is equal to

[tex] dCD=7-(-9)\\ dCD=16 units [/tex]

we know that

[tex] \frac{CE}{CD} =\frac{3}{8} \\ \\ 8CE=3CD\\ CE=\frac{3}{8}CD [/tex]

Find the distance CE

[tex] CE=\frac{3}{8}CD\\ \\ CE=\frac{3}{8}*16\\ \\ CE=6units [/tex]

Find the coordinate of point E

[tex] Point.E=Point.C+distance.CE\\ Point.E=-9+6\\ Point.E=-3 [/tex]

therefore

the answer is

The coordinate of point E is [tex] -3 [/tex]

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