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Serggg [28]
2 years ago
10

Which ordered pairs are in the solution set of the system of linear inequalities?y2-~xy<%x+1O (5,-2), (3, 1), (-4, 2)O (5, -2

), (3, -1), (4, -3)O (5, -2), (3, 1), (4, 2)O (5, -2), (-3, 1), (4, 2)
Mathematics
1 answer:
Usimov [2.4K]2 years ago
6 0

Ok, so:

We have the following system of linear inequalities:

To solve this system, the answer is really simple:

"Solving" systems of linear inequalities means "graphing each individual inequality, and then finding the overlaps of the various solutions". So, we're going to graph each inequality, and then find the overlapping portions of the solution regions.

In this case, we got the graph, so, we're going to analyze it.

We have these two lines:

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Suppose that you are traveling straight from Los Angeles, California to Denver, Colorado, stopping overnight in Page, Arizona. T
defon
The answer is
LA to Page: 611 mi
Page to Denver: 406 mi

Total distance from LA to Denver is T.
The distance LA to Page is x
The distance Page to Denver is y.

T = x + y
T = 1017
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x + y = 1017

<span>The distance from L.A. to Page (x) is 205 miles greater than the distance from Page to Denver (y):
x = y + 205

The system of two equations:
</span>x + y = 1017
x = y + 205

Substitute x from the second equation into the first one:
y + 205 + y = 1017
2y + 205 = 1017
2y = 1017 - 205
2y = 812
y = 812 / 2
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Troyanec [42]

Answer:

What is the value of x?

<em>x = 40 degrees.</em>

What is the measure of angle AFE?

<em>Angle AFE = 140 degrees</em>

What is the measure of angle BFD?

<em>Angle BFD = 140 degrees.</em>

Step-by-step explanation:

Angle AFC is 90 degrees.

To find angle x, we have to subtract angle BFC.

90 - 50 = 40 degrees.

Line BFE is 180 degrees.

To find angle AFE, we have to subtract angle x from 180 degrees.

We have solved x already.

180 - 40 = 140 degrees.

Angle BFD is just 90 degrees plus 50 degrees.

90 + 50 = 140 degrees.

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