Answer:
or simplified would be 
Step-by-step explanation:
In order to calculate the rate of change, we must subtract his end position and end time by the starting position and starting time. We are using the -15 feet since it is below the surface area as the starting position and the 10 seconds as the starting time. We make each of these into a fraction and subtract like so...
rate of change
rate of change
= rate of change
Therefore, we can see that the rate of change of the diver is or simplified would be
Answer: 8 feet, D
Step-by-step explanation:
To solve this, use the Pythagorean Theorem. It states:
where A and B are the sides of a triangle and C is the triangle's hypotenuse.
The 17 foot ladder in this situation is your hypotenuse, and you have one side of the triangle: 15.
15 squared = 225
17 squared = 289
solving for b squared, we get 
taking the square root of 64, you get 8 feet, the distance between the house and the base of the ladder.
If two lines are parallel to one another, then their slopes are identical. The slope in the line above is 3/4. Therefore, a line parallel to that line will also have a slope of 3/4, it will just have a different y-intercept.
