Images of transformation are congruent if they were translated, mirrored/flipped or rotated
1)
(x, y) → (–x, –y) mirrored
(x, y) → (0.8x, 0.8y) scale->not congruent
(x, y) → (x, y + 5)
2)
(x, y) → (x, –y) mirrored
(x, y) → (–x, y) mirrored
(x, y) → (x + 1, y – 1) translation
-> is congruent
3)
(x, y) → (x + 5, y + 5) translation
(x, y) → (x, –y) mirror
(x, y) → (2x, y) scale-> not congruent
4)
(x, y) → (3x, 3y) scale->not congruent
(x, y) → (–x, y)
(x, y) → (x – 4, y)
so the second series of transformations is the only one with a congruent after image
Equaton of a circle that is centerd at (h,k) and radius r is
(x-h)²+(y-k)²=r²
center is (-4,9) and radius is 11
(x-(-4))²+(y-9)²=11^2
(x+4)²+(y-9)²=121
6 for 2 refills. Since its less money and you still get refills.
Answer:
3,600
Step-by-step explanation:
G( - 3 ) = 8 * ( - 3 ) + 2 = -24 + 3 = - 21 ;
( fog )(-3) = f( g(-3) ) = f( - 21 ) = 6 * ( -21 ) + 7 = - 126 + 7 = - 119
