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andrey2020 [161]
3 years ago
8

Which points are solutions to the linear inequality y < 0.5x + 2? Check all that apply. (–3, –2) (–2, 1) (–1, –2) (–1, 2) (1,

–2) (1, 2)
Mathematics
2 answers:
jekas [21]3 years ago
4 0

Answer:

A) (-3,-2)

C)  (-1,-2)

E)  (1,-2)

F) (1,2)

Step-by-step explanation:

we have

y

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

Verify

Point A) (-3,-2)

Substitute the value of x and value of y in the inequality an compare

-2

-2 -------> is true

The ordered pair (-3,-2) is a solution of the inequality

Point B) (-2,1)

Substitute the value of x and value of y in the inequality an compare

1

1 -------> is not true

The ordered pair (-2,1) is not a solution of the inequality

Point C) (-1,-2)

Substitute the value of x and value of y in the inequality an compare

-2

-2 -------> is true

The ordered pair  (-1,-2)  is a solution of the inequality

Point D) (-1,2)

Substitute the value of x and value of y in the inequality an compare

2

2 -------> is not true

The ordered pair (-1,2) is not a solution of the inequality

Point E) (1,-2)

Substitute the value of x and value of y in the inequality an compare

-2

-2 -------> is true

The ordered pair  (1,-2) is  a solution of the inequality

Point F) (1,2)

Substitute the value of x and value of y in the inequality an compare

2

2 -------> is true

The ordered pair  (1,2) is  a solution of the inequality


Triss [41]3 years ago
4 0
(-3,-2) (-1,-2) (1,-2) (1,2)
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expeople1 [14]

Answer:

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Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

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And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

cos x cot x + sin x

We know from math properties that the definition for cot is cot x = \frac{cos x}{sin x}

If we use this definition we got:

cos x \frac{cos x}{sin x} + sin x

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Now we can use the following identity:

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Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

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4 0
4 years ago
Each side of a cube measures 5 cm in length. What is the cubes volume?
AysviL [449]

____________________________________________________

Answer:

Your answer would be 125 cm³

____________________________________________________

Step-by-step explanation:

In order to find the volume of a cube, we would need to use the right formula to find the volume for it.

Volume of a cube formula:

V = a^{3}

For our "a" value, we would need to plug in our side value, and for you case, the side value would be 5.

In a cube, all of the sides would be the same size, so you don't have to worry about using any different numbers.

Lets plug in 5 to our equation.

V = 5^{3}

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This is also the same as:

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Your FINAL answer should be 125 cm³

____________________________________________________

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3 years ago
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6 0
3 years ago
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