Question

I got six but I am not sure it I am correct

Answer 1

The coordinates of point X is -5.

Step-by-step explanation

Let the coordinate of point X be x.

The coordinate of point F is 5.

The coordinate of point D is 1.

We are then told that FX:XD = 5:3

FX will be (5 - x)

XD will be (1 - x)

So, that ratio given will be

(5 - x):(1 - x) = 5:3

`\begin{gathered} (5-x)/(1-x)=(5)/(3) \\ \text{Cross multiply} \\ 5(1-x)=3(5-x) \\ 5-5x=15-3x \\ -5x+3x=15-5 \\ -2x=10 \\ \text{Divide both sides by -2} \\ (-2x)/(-2)=(10)/(-2) \\ x=-5 \end{gathered}`

Hence, the coordinates of point X is -5.

Hope this Helps!!!