Do you think that all perpendicular slopes are related in the way you observed in problem 1-69? Investigate this idea by drawing three different lines with slope triangles on graph paper. Use slopes 1, 1/3 and 3/4 . Use tracing paper to rotate each line with its slope triangle 90º , either counterclockwise () or clockwise (). Find the slope of each new line. How does the slope of each rotated line compare to the slope of its original line? Share any patterns you find with your teammates. Use patterns from the work you have done to describe the general relationship of the slopes of perpendicular lines. That is, if you have two perpendicular lines and know the slope of one, how can you find the slope of the other?

Figure lmno is located at l (1, 1), m (4, 4), n (7, 1), and o (4, −2). use coordinate geometry to best classify quadrilateral lmno.

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?

Examine this system of equations. what integer should the second equation be multiplied by so that when the two equations are added together, the x term is eliminated? 3/4x+1/7y=6 1/8x-3/5y=16