Which expression represents the correct form of the partial fraction decomposition of 19x + 20 answer asap
2 answers:
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Answer:
The points that verify the system of inequalities are:
point E, pointF, and point G.
Step-by-step explanation:
Please see the attached image that illustrates the boundary lines in your system of inequalities.
The boundary line for the inequality is depicted in green, while the boundary line for the inequality
is depicted in red.
By solving for y in each inequality, we understand which half-plane should be considered for the inequality:
First inequality (green boundary line) :
This means that we are to consider the points below the green boundary line.
Second inequality (red boundary line) :
This means we have to consider the points below the red boundary line.
Recall as well that both conditions we arrived at have to be satisfied by the points that are solutions of both inequalities.
From the image, we can see that there are only three points that reside at the same time below the green and the red boundary lines. These points are: point E, pointF, and point G.
On the other hand, we have two points that lie on a boundary line (point J and H), but they should be ignored, since the system of inequalities contain just inequality symbols < or >, and not the "equal" sign.
The expression that is not a variation of the Pythagorean identity is the third option.
<h3>What is the Pythagorean identity?</h3>The Pythagorean identity can be written as:
For example, if we subtract cos^2(x) on both sides we get the second option:
Which is a variation.
Now, let's divide both sides by cos^2(x).
Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.
Concluding, the correct option is the third one.
If you want to learn more about the Pythagorean identity, you can read: