Evaluate x^-2 for x = -3.
1 answer:
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Using relations in a right triangle, it is found that the length of AC is of 6.43 inches.
<h3>What are the relations in a right triangle?</h3>The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this problem, the length of side AC is b, which is opposite to the angle of 40º, while the hypotenuse is of 10 in, hence:
Using a calculator:
More can be learned about relations in a right triangle at brainly.com/question/26396675
Answer:
The average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.
Step-by-step explanation:
We are given the function:
And we want to determine its average rate of change over the interval:
The average rate of change is synonymous with the slope. So, to find the average rate of change, we simply need to find the slope between the two endpoints.
Evaluate each endpoint:
So, our endpoints are (1, -1) and (4, -4).
The slope between them is:
So, the average rate of change of <em>f(x)</em> over the interval 1 ≤ <em>x</em> ≤ 4 is -1.