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sladkih [1.3K]
3 years ago
5

The graph below shows the solution set of which inequality?

Mathematics
2 answers:
RideAnS [48]3 years ago
6 0
D is the correct answer
GrogVix [38]3 years ago
3 0

Answer:

The answer is the option D

x^{2} > 4

Step-by-step explanation:

we know that

The inequality

x^{2} > 4

has two solutions

<u>First solution</u>

x > 2

The solution is the interval-------> (2,∞)

All real numbers greater than 2

<u>Second solution</u>

-x > 2------>x < -2-

The solution is the interval-------> (-∞,-2)

All real numbers less than -2

using a graphing tool

see the attached figure


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Parallelogram ABCD has vertices at A(2,-3), B(8,-6), Cl14,-3), and D(8,0)
OlgaM077 [116]

Answer:

The correct option is C.

Step-by-step explanation:

The vertices of ABCD are A(2,-3), B(8,-6), C(14,-3), and D(8,0).

Distance formula:

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

The length of sides are

AB=\sqrt{(8-2)^2+(-6+3)^2}=\sqrt{36+9}=\sqrt{45}

BC=\sqrt{(14-8)^2+(-3+6)^2}=\sqrt{36+9}=\sqrt{45}

CD=\sqrt{(8-14)^2+(0-3)^2}=\sqrt{36+9}=\sqrt{45}

AD=\sqrt{(8-2)^2+(0+3)^2}=\sqrt{36+9}=\sqrt{45}

Since length of all sides are equation therefore the given parallelogram cannot be a rectangle.

Slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Slope of AB is

m_1=\frac{-6-(-3)}{8-2}=\frac{-3}{6}=\frac{-1}{2}

Slope of BC is

m_2=\frac{-3-(-6)}{14-8}=\frac{3}{6}=\frac{1}{2}

Since the slopes of two consecutive sides are not opposite reciprocals, therefore the given parallelogram is a rhombus. Option C is correct.

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3 years ago
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Answer:

Step-by-step explanation:

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In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What
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Answer:

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Any term without an already given coefficient is 1

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