Given: and Prove: slope of × slope of = -1

StatementsReasons
1.
is similar to Given
2. Property of similar triangles
3. slope of
slope of Definition of slope
4. slope of slope of Multiplying the slopes
5.Substitution property of equality
6. slope of slope of = -1Simplifying the right side

The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 5?

A.

B.

C.

D.

What are the relative frequencies to the nearest hundredth of the columns of the two-way table? a b group 1 102 34 group 2 18 14

Suppose you just purchased a digital music player and have put 8 tracks on it. after listening to them you decide that you like 4 of the songs. with the random feature on your player, each of the 8 songs is played once in random order. find the probability that among the first two songs played (a) you like both of them. would this be unusual? (b) you like neither of them. (c) you like exactly one of them. (d) redo () if a song can be replayed before all 8 songs are played.

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.