Triangle MNP is graphed on a coordinate grid with vertices at M(12, -6), N(3, 3) and P(-6,12). Triangle MNP is dilated by a scale factor of q with the origin as the center of dilation to create triangle M’N’P’. Which ordered pair represents the coordinates of the vertex P’? A. (12 − q, -6 – q)

B. (-6q, 12q)

C. (3q, 3q)

D. (12q, -6q)

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  B.  (-6q, 12q)

Step-by-step explanation:

The dilation factor (q) multiplies each of the coordinates:

  (x, y) ⇒ (qx, qy)

  P(-6, 12) ⇒ P'(-6q, 12q)

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.