Answer:
B. [tex]-0.6[/tex]
Step-by-step explanation:
We have been given point C divides A and B such that AC and BC form a 2:3 ratio.
We will use section formula to solve our given problem, which states when a point P internally divides segment AB is ration m:n, then
[tex][x=\frac{m*x_2+n*x_1}{m+n},y=\frac{m*y_2+n*y_1}{m+n}][/tex]
Upon substituting our given values we will get,
[tex][x=\frac{2*3+3*-3}{2+3},y=\frac{2*0+3*5}{2+3}][/tex]
[tex][x=\frac{6-9}{5},y=\frac{0+15}{5}][/tex]
[tex][x=\frac{-3}{5},y=\frac{15}{5}][/tex]
[tex][x-0.6,y=3][/tex]
Therefore, the value of x is [tex]-0.6[/tex] and option B is the correct choice.
