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3 years ago

13

30 POINTS!!! PLEASE HURRY!!Which of the following graphs correctly represents x > -1/2

1 answer:

miss Akunina [59]3 years ago

7 0

<h3>Answer: Second graph</h3>

Why? Because we draw a dashed line through x = -1/2 = -0.5 on the horizontal number line (aka x axis). Then we shade to the right of this dashed line. The shaded region represents all points that make the inequality true. For example, the point (0,0) is in the shaded region. It has an x coordinate of x = 0 which is larger than -1/2

Side note: the dashed line says "points on this boundary do not count as solutions". So any point with an x coordinate of -1/2 does not count.

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3 years ago

To solve y and x, I am adding a picture

Viktor [21]

Answer:

$x =\sqrt 5$

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Step-by-step explanation:

Given

The attached triangle

Required

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$\cos(45) = \frac{y}{\sqrt{10}}$ --- cosine formula i.e. adj/hyp

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$y = \sqrt{10} * \cos(45)$

In radical form, we have:

$y = \sqrt{10} * \frac{1}{\sqrt 2}$

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2 years ago

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2 years ago

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sukhopar [10]

Answer:

A. $x>\frac{10}{7}$ .

Step-by-step explanation:

We have been given an inequality $6x+\frac{1}{4}(4x+8)>12$ . We are asked to solve the given inequality for x.

Using distributive property, we will get:

$6x+\frac{1}{4}*4x+\frac{1}{4}*8>12$

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Subtract 2 from both sides:

$7x+2-2>12-2$

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Divide both sides by 7:

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Therefore, option A is the correct choice.

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2 years ago

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JulijaS [17]

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2 years ago

Read 2 more answers