Pentagon craft has coordinates c(-2,1) r(-5,2) a(-6,7) f(-3,9) and t(-1,6) and is dilated by a scale factor of 2/3 at the origin. what are the coordinates of craft after the dilation?

First, we need to know the formula when a scale factor appears:

New coordinate =  (scale factor)*(old coordinate)

So using this formula we have:

1) c' = (-2,1)*2/3  

  c' = (-4/3,2/3)

2) r = (-5,2)*2/3

   r = (-10/3,4/3)

3) a = (-6,7)*2/3

   a = (-4,14/3)

4) f = (-3,9)*2/3

   f = (-2,6)

5) t = (-1,6)*2/3

   t = (-2/3,4)

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13