Respuesta :

The answer is B. -5 because from c to d the distance is 16. One fourth of 16 is 4 units so you just need to count four space from c to get -5

Answer:  The correct option is

(B) -5.

Step-by-step explanation:  We are given to find the co-ordinates of a point E on line CD such that the ratio of CE to CD is 1 : 4.

Let x denotes the co-ordinates of the point E.

Then, according to the given information, we have

[tex]CE:CD=1:4\\\\\Rightarrow \dfrac{CE}{CD}=\dfrac{1}{4}\\\\\\\Rightarrow \dfrac{x-(-9)}{7-(-9)}=\dfrac{1}{4}\\\\\\\Rightarrow \dfrac{x+9}{16}=\dfrac{1}{4}\\\\\\\Rightarrow x+9=\dfrac{16}{4}\\\\\Rightarrow x+9=4\\\\\Rightarrow x=4-9\\\\\Rightarrow x=-5.[/tex]

Thus, the required co-ordinate of the point E is -5.

Option (B) is CORRECT.

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