Which expression represents the sum of (2x-5y and (x+y) ?
1 answer:
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<h2>Explanation:</h2>
Hello, remember you need to write complete questions in order to get good and exact answers. Here you haven't provided any fractions, so I'll give you my own fractions.
The first fraction is:
The second fraction is:
So let's say that difference is:
Therefore, the result is:
The representation of this problem is shown using the number line below. As you can see, we have written both 1/2 and 1/4 and the difference is also indicated giving the result 1/4. That is, if we walk from 1/4 to 1/2 we'll walk 1/4 units.
Part A:
You may choose the two lines connecting the origin and points A and B, and choose the portion of the space between them.
The line between the origin and A is
We want everything below this line (line included), so the first inequality is
The line between the origin and B is
We want everything above this line (line included), so the second inequality is
Create a system with these two inequalities and you'll have an area including only points A and B
Part B:
To verify the solutions, we can plug the coordinates of A and B in this system and check that we get something true: the coordinates of point A are (1,3), while the coordinates of point B are (3,1). The system becomes:
Which means
And these are all true. So, the system is satisfied, which means that the points belong to the shaded area.
Part C
If you draw the line, you'll see that the only points that lay below the line are B and C. In fact, if we plug the coordinates we have
And this are both true. You can check the coordinates of all other points, and see that they won't satisfy the inequality y<3x-6