Part A:
Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.
Let the length of the other side be x, then

Thus, if the length of one of the side is x, the length of the other side is 8 - L.
Hence, the area of the rectangle in terms of L is given by

Part B:
To find the domain of A
Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.
Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.
Hence the domain of the area are the set of values between 0 and 8 not inclusive.
Therefore,
K^2-5k-50
(k-10)(k+5)
This is because k*k=k^2 (your first term), 5k-10k=-5k (your second term) and -10*5=-50 (your last term).
Distribute to check.
Answer:
6.3
Step-by-step explanation:
8.5 - (-4.8)
Let's focus on - (-4.8)
if a negative number is subtracted, it reverses itself
In other words, if a negative number is being subtracted, it is the same as being added as a positive number
So we change the equation to
8.5 + 4.8 = 13.3
Now we subtract 7 from 13.3
Since positive 7 is being subtracted, the rule for -4.8 does not apply to it
13.3 - 7 = 6.3
The points are; (7/2, -1/2).
<h3>What is the given point?</h3>
Now the tangent line is given as;20x 4y = 1. When we rewrite it in the slope intercept form, we have the equation as; y = 1 - 20x/4 or y = 1/4 - 5x.
Then to obtain the slope of the curve we have; y = 19 - 2x
dy/dx = 2
Using the relation;
m1m2 = -1
m2 = -1/2
Hence;
y = 1/4 - 5(-1/2)
y = 1/4 + 5/2
y = 7/2
Thus the points are; (7/2, -1/2)
Learn more about normal curve:brainly.com/question/10664419
#SPJ4
Answer:
2667 dump truck loads
Step-by-step explanation:
To solve this exercise, we must resort to a proportion rule.
Knowing what happened in the first place, how much was needed, a direct proportion will be made with the other accident, be as follows.
Landslide Dump Truck Loads
3 yd ^ 3 -------------------------------------------> 200
40 yd ^ 3 -------------------------------------------> X
X = (40 * 200) / 3
X = 2666.6, that is, for 40 cubic yards of sliding, approximately 2667 dump truck loads are needed.