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givi [52]
3 years ago
13

Which ordered pair is in the solution set of the system of linear inequalities? y > Three-halvesx – 1 y < Three-halvesx –

1

Mathematics
1 answer:
arsen [322]3 years ago
4 0

Answer:

No solution

Step-by-step explanation:

Data provided in the question related to inequalities are as follows

y>\frac{3}{2}x-1\\\

y

Now the related equation for both inequalities is

y=\frac{3}{2}x-1

When x=0,

y=\frac{3}{2}(0)-1=-1

When x = 2,

y=\frac{3}{2}(2)-1=2

This represents that the both lines are passed through(0,-1) and (2,2).

In indicates both line passes through (0,-1) and (2,2). Everything is colored to the right of the first line and everything is colored to the left of the line. It implies there is no feasible region to the inequalities.

The ">" and "<" symbols of inequalities It indicates the points on the line are not part of the solution set.

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The diagram shows two vertical masts, AB and CD, on horizontal ground. The height of AB is 500m and the height of CD is 350m. Th
Zina [86]

<u>Given</u>:

The lines AB and CD, on horizontal ground.

The height of AB is 500 m.

The height of CD is 350 m.

The angle of elevation of B from D is 30°

We need to determine the distance AC.

<u>Length of BE:</u>

Let us construct a line that is parallel to AC.

Let the line be ED.

The length of BE is given by

BE=AB-AE

BE=500-350

BE=150

Thus, the length of BE is 150 m

<u>Length of ED:</u>

The length of ED can be determined using the trigonometric ratio.

Thus, we have;

tan \ 30^{\circ}=\frac{ED}{BE}

Substituting the values, we get;

         \frac{\sqrt{3}}{3}=\frac{ED}{150}

\frac{\sqrt{3}}{3}\times 150=ED

     50\sqrt{3}=ED

Thus, the length of ED is 50√3 m

<u>Length of AC:</u>

From the figure, it is obvious that the sides ED and AC have the equal length.

Thus, we have;

AC = ED = 50√3

Simplifying, we get;

AC=50 \times 1.732

AC=86.6 \ m

Hence, the length of AC is 86.6 m

5 0
3 years ago
at A certain temperature the speed of sound in the air is 330 meters per second. which of the following expressions would conver
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Answer:

Step-by-step explanation:

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3 years ago
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Bess and Gina earn $45 per week for delivering flowers. Bess worked for x weeks and earned an additional total bonus of $20. Gin
iogann1982 [59]

Answer:

45x+20+45y

Step-by-step explanation:

Let

x -----> the number of weeks worked by Bess

y ----> the number of weeks worked by Gina

we know that

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so

The expression that represent this situation is

45(x+y)+20

Distribute

45x+45y+20

Rewrite

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Rewrite each equation without absolute value for the given conditions.
Masja [62]

Answer: 10

Step-by-step explanation:

If -5 < x < 5, then |x-5|=5-x and |x+5|=x+5.

So, the expression is equal to 10.

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What value of x makes this proportion true?
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