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Find the product of (4x + 3y)(4x − 3y). 16x2 − 24xy + 9y2 16x2 − 9y2 16x2 + 24xy + 9y2 16x2 + 9y2

Abc will undergo two transformations to give aa'b'c' which pair of transformations will give a different image of aabc if the order of the transformations is reversed? a. a rotation 90' counterclockwise about the origin followed by a reflection across the y-axis b a translation 5 units down followed by a translation 4 units to the right c. a reflection across the x-axis followed by a reflection across the y-axis a rotation 180'clockwise about the ongin followed by a reflection across the y-axis reset next 2 omentum all rights reserved o atk me anything o o e

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?