The answer is: A. 20.3
The explanation is shown below:
1. By definition, the sum of the length of the strings (The length of the blue segment and the length of the red segment) is equal to the length of the major axis (The black segment).
2. Based on this, you can write the following expression, where
is the length of the blue segment:

3. Now, you must solve for
, as following:


4. Therefore, the answer is the option A.
Answer:
g has an average rate of change of zero at the intervals [-5,4] and [-2,2]
Step-by-step explanation:
When we talk of the average rate of change, we mean the change in y values divided by the change in x values
Once the change in y-values is zero, then over that interval, the average rate of change is zero
at the point t =- 5, g(t) = 6; at the point t = 4, g(t) = 6
As we can see here, within the interval [-5,4]; the average rate of change is 0
This same pattern is repetitive at points or ranges where we have same values for g(t)
such as;
[-2,2]
3x + 2y = 39
-3x -3x
2y = 39-3x
— ———
2 2
y= 19.5 - 3x/2
plug (19.5 - 3x/2) for y
1.5x - 2(19.5 - 3x/2)= 39
x= 17.33333333334
The line of the best fit is y = 2100x -4166040 and the number of bottles is, 86460 which expect to sell in 2025
<h3>What is the line of best fit?</h3>
A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
We have data shown in the table:
To find the line of best fit, we will calculate its slope and y-intercept.
We know the slope is given by:
where n = 5
After calculating, we get,
and

m = 105000/50 = 2100
For y-intercept b:

After calculating:
b = -4166040
The line becomes:
y = 2100x -4166040
If x = 2025 put this value in the line, we get:
y = 86460
Thus, the line of the best fit is y = 2100x -4166040 and the number of bottles is, 86460 which expect to sell in 2025
Learn more about the line of best fit here:
brainly.com/question/14279419
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Answer:
x(x-1)=72 x=9
Step-by-step explanation: