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shepuryov [24]
2 years ago
9

Solve the inequalities by graphing. Select the correct graph. 2x - y > 4 2x - y < -2

Mathematics
1 answer:
Katen [24]2 years ago
4 0

The solution will be the point of intersection of the lines and since the lines are parallel to each other, there is no solution

<h3>System of inequality</h3>

Inequality are expressions not separated by an equal sign. Given the following inequalities

2x - y > 4

2x - y < -2

The lines for both inequality must be dashed since they do not include equal sign. The first line will be shaded in the upper part while the second in the lower portion

The solution will be the point of intersection of the lines

Learn more on inequality graph here: brainly.com/question/24372553

#SPJ1

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Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t
Pepsi [2]

Answer:

Step-by-step explanation:

Two lines are perpendicular if the first line has a slope of m and the second line has a slope of \frac{1}{-m}.

With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:

5x - 2y = -6

-2y = -5x - 6

y = \frac{5}{2}x + 3

We now know that m = \frac{5}{2} for the first line, which means that the slope of the second line is m = \frac{-2}{5}. With this, we have the following equation for our new line:

y = \frac{-2}{5}x + C

where C is the Y-intercept that we now need to determine with the coordinates given in the problem statement, (5, -4):

y = \frac{-2}{5}x + C

(-4) = \frac{-2}{5}(5) + C

-4 = -2 + C

C = -2

Finally, we can create our line:

y = \frac{-2}{5}x - 2

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2x + 5y = -10

8 0
4 years ago
Read 2 more answers
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