Answer:
distance
Step-by-step explanation:
lets say -7 what is -7 distance from 0
so the absolute value of -7 is 7
I believe the correct answer from the choices listed above is the first option. A long term consequence of making late payments on your bills would be that it <span>will be harder to secure a new loan at a low rate because of the record you have.</span>
Hope this answers the question. Have a nice day.
The sinusoidal function that models the situation is:
From the function, we have that:
- The amplitude is of 4.5 ft.
- The mid-line equation is of y = 5.
<h3>What is a sinusoidal function?</h3>
A sinusoidal function is a trigonometric function, and has the following format, considering no phase shift:
In which:
- A is the amplitude, which is the twice the difference between the largest and smallest value.
- The period is of
.
- C is the vertical shift, and the mid-line equation is
.
In this problem, the high is of 9.5 ft and the low is of 0.5 ft, hence, for the amplitude, we have that:
With an amplitude of 4.5, the standard function would vary between -4.5 ft and 4.5 ft, while in this problem the variation is from 0.5 ft to 9.5 ft, hence the vertical shift is of:
Which means that the mid-line equation is of y = 5.
Period of 24 hours, hence:
Hence, the function is:
You can learn more about sinusoidal functions at brainly.com/question/26384970
This is a fairly tedious problem. The only way to solve that I see is to simply list out all the possible cases and go through each one by one. You'll use the triangle inequality theorem to see if the triangles can be formed. The theorem says that a+b > c must be true for all sets of pairs. In other words, take any two sides and add them up. The sum must be greater than the third side.
Going through all the combos possible (that I could find), this is what I got
Blue9,Green7,Orange4
Blue9,Green7,Purple12
Blue9,Green7,Red3
Blue9,Green7,Yellow5
Blue9,Orange4,Purple12
Blue9,Purple12,Yellow5
Green7,Orange4,Yellow5
Green7,Red3,Yellow5
Orange4,Red3,Yellow5
In all, I count 9 cases. So the answer to problem 1 is 9.
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For problem 2, the best way may be to pick two segments at a time instead of one. However, I have a feeling that will take just as long as the first method. I haven't tried it out. Even though going through the rods one at a time takes a while, it's probably the best option so you don't overlook any cases.
