Which series of transformations will not map figure H onto itself?

(x + 0, y − 2), reflection over y = 1
(x + 2, y − 0), reflection over x = 3
(x + 3, y + 3), reflection over y = −x + 7
(x − 3, y − 3), reflection over y = −x + 2

Eric has challenged himself to walk 24,000 steps in 4 days. if eric walks the same number of steps each day, which function represents the number of steps eric still needs to walk to reach his goal with respect to the number of days since he started his challenge? a. y = 8,000x − 24,000 b. y = -8,000x + 24,000 c. y = 6,000x − 24,000 d. y = -6,000x + 24,000

The two square pyramids are similar. find the total volume of both pyramids if the ratio of their surface areas is 9/16

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.