What are the coordinates of the image of point T(2,4) over the transformation D(1/2,R), where R(6,-2) is the center. X= ? Y= ?

9514 1404 393

  T'(4, 1)

Step-by-step explanation:

The dilation transformation around a center not the origin is ...

  T' = k(T -R) +R . . . . for dilation factor k and center R

This can be simplified to ...

  T' = 1/2T -1/2R +R = 1/2T +1/2R = (T +R)/2

Using the given point values, we find the image point to be ...

  T' = ((2, 4) +(6, -2))/2 = (8, 2)/2 = (4, 1)

The image point is T'(4, 1).

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0