<u>Given:</u>
Take west to be the positive direction. The height of a sloped roof above the place where you stand is 12 feet. If you move 3 feet west, the height is 10 feet.
We need to determine the slope.
Let x denote the standing place.
Let y denote the height.
Writing the given as coordinates, we get;
(0,12) and (3,10)
<u>Slope</u>:
The slope can be determined using the formula,

Substituting the coordinates (0,12) and (3,10), we have;


Thus, the slope is 
Answer:
The committee of 8 members can be selected in 990,675 different ways.
Step-by-step explanation:
The order in which the teachers and the students are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this question:
4 teachers from a set of 6.
4 students from a set of 37.
Then

The committee of 8 members can be selected in 990,675 different ways.
Start by plotting the y-intercept at (0,1).
From that point, count "up 2, right 1" to get a second point on your graph.
If needed repeat that "up 2, right 1" from that second point to get a third point.
Draw the line that connects these 2 or 3 points.
Answer: False
Step-by-step explanation:
False, the value of cosine at pi and 2pi is equal to -1 and 1 respectively. You can test this by using the pi circle or a calculator. Let pi = 180 degrees. Cosine is always defined and alternates between 1 and -1.
Answer:
871
Step-by-step explanation:
737 divided by 11 is 67, so thats how many miles he drives per hour
67 times 13 is 871