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finlep [7]
3 years ago
15

Select the inequality that corresponds to the given graph. graph of an inequality with a solid line through the points negative

8 comma 0 and 0 comma negative 4 and shading above the line A 4x − 3y > − 12 B x + 4y > 4 C 4x − 2y < − 8 D 2x + 4y ≥ − 16

Mathematics
2 answers:
SashulF [63]3 years ago
6 0
Well by looking at the graph I can see that the equation for the line is y=-0.5x-4
rearranging I can get the answer.
y>=-0.5x-4
y+0.5x>=-4
2y+x>=-8



the answer is
2x+4y>=-16
Dominik [7]3 years ago
4 0
<h3>Answer: 2x+4y ≥ -16 </h3>

Step-by-step explanation:  In the given graph x-intercept is -8 and y-intercept is -4.

Also the graph is shaded up of the line for greater values of y's.

On the option 2x+4y ≥ -16 has x-intercept at -8 and y-intercept at -4.

Also all other inequalities has only less than or greater than sign.

In the given graph we have a solid line.

So, there should be greater than or equal to inequality sign for the inequality.

Only option 4 has greater than with equal to sign.

Therefore, correct option is 2x+4y ≥ -16



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Given the figure in the attached image.

Circle O has diameter FG and chord FH.

If arc GH is;

GH=72^{\circ}

we want to find the measure of angle HFG.

Recall that from circle geometry theorems;

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So;

\begin{gathered} 2\times m\measuredangle HFG=m\measuredangle GOH \\ m\measuredangle HFG=\frac{1}{2}m\measuredangle GOH \\ m\measuredangle HFG=\frac{1}{2}GH \end{gathered}

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undefined

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Step-by-step explanation:

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Setler79 [48]
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The attached graph has a vertex in the first quadrant. Therefore, the coordinates of the vertex would be both positive.

Let's start with first equation:

                                               y = 3x² – 2x + 1

using the equation of axis:
                                            x = -b/2a
                                            x = 2/6
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SUbstituting the value of x in the main equation to get the y-coordinate of the vertex.
                                               y = 3(1/3)² – 2(1/3) + 1
                                               y = 3/9 – 2/3 + 1
                                               y = 1/3 – 2/3 + 1
                                               y = (1 - 2 + 3)/3
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Hence, the vertex would be:
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Also, the leading coefficient is positive, so the parabola would be concave up.

Thus the final answer choice will be:

                                             y = 3x² – 2x + 1

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