Graph triangle ABC with vertices A(7, -2), B(8, -5), C(3, -8) and its image after the following transformations. Give the coordinates of the final image. (a) Translation: (x, y) → (x – 9, y + 10)

(b) Rotation: 270° counterclockwise about the origin
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17 in long 1.3 ft wide and 8in high what is the volume

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Last month, a 770 g box of cereal was sold at a grocery store for $3.10. however, this month, the cereal manufacturer launched the same cereal in a 640 g box, which is being sold at $2.50. what is the percent change in the unit price?