a. Recall that
For , we have
By integrating both sides, we get
If , then
so that
We can shift the index to simplify the sum slightly.
b. The power series for can be obtained simply by multiplying both sides of the series above by .
c. We have
Water evaporates from a pond at a rate of 0.05 inches per hour. What is the change in inches in the water level of
1 answer:
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The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).
<h3>What is a linear equation?</h3>- It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.
- The equation is referred to as a linear equation in one variable if just one variable is contained in the equation.
Now,
We are given the linear equation:
- 4x + 5x -2 = 6 (Distributive property)
- 9x - 2 = 6 (combining the like terms)
- 9x = 8 (additive property of equality)
- x = 8/9 (division property of equality)
Hence, The third and fourth solutions are correct when using the division property of equality, i.e., The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).
To learn more about linear equations, refer to the link: brainly.com/question/11897796
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<u>Answer:</u>
Angle A = 39°
<u>Step-by-step explanation:</u>
We are given that there is a triangle ABC where a = 9, c = 5 and angle B = 120° and we are to find the measure of angle A.
But first we need to find the side b using the law of cosine:
Now finding angle A using law of cosine:
Therefore, the measure of angle A = 39°.