Pentagon abcde is dilated by a scale factor of 4 with the origin as the center of dilation, resulting in the image a′b′c′d′e'. if the slope (m) of ab is -1.5, what is the slope of a'b'?
a. m = -1.5
b. m = - 6
c. m = 3
d. m = 6

A. what does the point (4, 122) represent? b. what is the unit rate? c. what is the cost of buying 10 tickets?

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ac=26 and ch=8, find bh.