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Kobotan [32]
4 years ago
14

Which of the following systems of linear inequalities is represented by the

Mathematics
2 answers:
algol [13]4 years ago
5 0

Answer:

Option D is correct.

Step-by-step explanation:

Option D is correct.

y < 2 and y >= x

Because the dotted line shows that y < 2 and y >=x is shown is represented by diagonal line.

gladu [14]4 years ago
5 0
<h2>Answer:</h2>

Option: D is the correct answer.

      D.    y<2   and    y≥x

<h2>Step-by-step explanation:</h2>

The graph of the system of linear inequalities are two lines:

1)

The first is a solid line which passes through (0,0) , (1,1)

i.e. the equation of the line is: y=x

and the inequality will be a inequality with a equality sign ( since the line is solid ) and the shaded region is above the line .

Hence, the inequality is: y≥x

2)

The second line is a dotted line.

This means that the inequality is strict.

Also, the line is a horizontal line parallel to the x-axis and the line pass through (0,2) and the shaded region is below the line.

Hence, the inequality is given by:

                    y<2

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ΔEFG is located at E (0, 0), F (−7, 4), and G (0, 8). Which statement correctly classifies ΔEFG?
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Answer:

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Solution:

Distance formula

Distance d = \sqrt{(x_2-x_1)^2 +( y_2-y_1)^2

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By using distance formula,

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EF = \sqrt{(49) + (16)}\\EF = \sqrt{65}\\

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By using distance formula,

FG = \sqrt{(0-(-7))^2+(8-4)^2}\\FG = \sqrt{(7)^2 +(4)^2}\\FG = \sqrt{49 +16}\\FG = \sqrt{65}

Step 2: Finding the length of  GE

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