Aball is dropped from a height of 10 feet. the ball bounces to 90% of its previous height with each bounce. identify the geometric sequence that shows the height of the fourth bounce in bold (to the nearest tenth). a) 8.1, 7.3, 6.6, 5. b) 9, 8.1, 7.3, 6. c) 9, 8, 7, d) 9, 8.1, 7.3, 5.

Match the equivalent expressions. x - 3y + 12 12 - 3y - 2x + x + 2x 3x + 2y - 2x + y + 12 3y + 12 3x + y - 12 4y + 3y + 3x - 6y - 10 - 2 x + 3y + 2x - 3x + 7 + 5 x + 3y + 12 5 + 2y + 7x - 4x + 3y - 17

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?

What are the coordinates of the image of p for a dilation with center (0, 0) and scale factor 2