If t: (x, y) → (x - 3, y + 2), then t -1: (x, y) → (x + 3, y + 2) (x + 3, y - 2) (, -) (3x, -2y)

(x + 3, y - 2)

Step-by-step explanation:

we know that

The rule of the transformation T is equal to

T: pre-image → image

T: (x, y) → (x',y')

T: (x, y) → (x - 3, y + 2)

so

x'=x-3 > x=x'+3

y'=y+2 > y=y'-2

The rule of the inverse of transformation T -1 is equal to

T-1: image → pre-image

T-1: (x', y') → (x,y)

T-1: (x', y') → (x'+3, y'-2)

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls