Answer:
The slope of g(x) is: 
The slope of f(x) is: 
Step-by-step explanation:
For this exercise you need to know that:
1. By definition the slope of any horizontal line is zero ()
2. The slope of a line can be calculated using the following formula:
In this case, you can observe in the graph of the function g(x) given in the exercise that it is an horizontal line. Then, based on the explanation given before, you can conclude that its slope is:
To find the slope of the function f(x) shown in the table attached, you need to follow these steps:
- Choose two points from the table:
and 
- You can say that:
- Substitute values into the formula :
- Finally, evaluating, you get:
Answer:
40197 these many 5s make up 200985 so 4 are left to make 200989
Step-by-step explanation:
No whole numbers do as if you look at the factors pairs of 45 none of them add to 17:
1, 45 = 46
3, 15 = 18
5, 9 = 14
The two numbers that add to 17 but multiply to 45 are can be calculated using the quadratic formula and are actually 13.72 and 3.28
This solution to this problem is predicated on the fact that the circumference is just: 
. A straight line going through the center of the garden would actually be the diameter, which is well known to be two times the radius of the circle, so we can say that the circumference is just:
So, solving for both the radius and the diameter gives us:
So, the length of thes traight path that goes through the center of the guardain is just 
, and we can use the radius for the next part of the problem.
The area of a circle is 
, which means we can just plug in the radius and find our area:
So, we have found our area(
) and the problem is done.
