Write the inequality shown by the shaded region in the graph with the boundary line y=−4x+1.

The value of the length of the scaled up rectangle is 12.8 unit.

A rectangle is a polygon with four sides , the opposites are parallel and equal.

It is given in the figure that

A rectangle 4* 8 is scaled up and a new rectangle is formed α * 25.6

Scale factor = 25..6/8 =3.2

The value of the length therefore will be

4 * 3.2 = 12.8 unit

Therefore the value of the length of the scaled up rectangle is 12.8 unit.

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The experimental probability is 56% i.e., 28.

The probability is the measure of the likelihood of an event to happen.

Given:

Total marbles= 8 + 12 + 5= 25 marbles

Total trials= 12+28+10 = 50 trials

So,  the experimental probability is 56% for the green marble.

= 56% of 50

= 56 /100 *50

= 56/2

= 28

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Answer:  Choice A

[tex]\begin{pmatrix}-15 & 59 & -3\\16 & 61 & -83\\-45 & -99 & 106\end{pmatrix}[/tex]

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Explanation:

In matrix A, the upper left corner is -3

Multiply this with -7 to get  -7*(-3) = 21

So we'll have 21 in the upper left corner of matrix -7A. The other entries will be handled in a similar fashion.

Meanwhile, the upper left corner of matrix B is 9. Multiply this with -4 to get 9(-4) = -36 which is the upper left corner entry of matrix -4B

Combine those products: 21 + (-36) = -15

The number -15 is the upper left corner entry in matrix -7A-4B

This points us to choice A as the final answer.

The length of the kite string is 50 ft

The string and the kite form a right triangle.

So, the length can be calculated using Pythagoras theorem as follows:

c^2 = 30^2 + 40^2

This gives

c^2 = 2500

Take the square roots

c = 50

Hence, the length of the kite string is 50 ft

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Answer: pi/3

Step-by-step explanation:

All of the other answers are asymptotes of the function, which by definition means they are not included in the domain, because they are undefined in the domain at that point. If you graph the function and graph all of those x values, you will see that (pi/3) is the only line that crosses the function.

Also, I took the test and got it right.

Only the value of x , [tex]\frac{\pi }{3}[/tex] is in the domain of the function.

The domain of a function is the set of values that we are allowed to plug into our function which makes the function defined.

The trigonometric functions are also called the angle functions, which relates the angles and the ratios of the sides of a right angle triangle.

According to the given question.

We have a trigonomtery function.

[tex]f(x) = 4cot(2x)+3[/tex]

The above trigonometry function can be written as

[tex]f(x) = 4\frac{cos(2x)}{sin(2x)} + 3[/tex]

For the function to be defined the denominator can't be zero.

[tex]sin(2x) \neq 2n\pi ( n \in0, 1, 2, 3, ..)[/tex]

Therefore, from the given values for the x we can only put [tex]\frac{\pi }{3}[/tex] in the given function because [tex]\frac{\pi }{2}[/tex] makes the denominator o which makes the function undefined. Similarly for the π also.

Hence, only the value of x , [tex]\frac{\pi }{3}[/tex] is in the domain of the function.

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The distance between B and C is 26.926 units.

The distance between coordinate P(x1 , y1) and coordinate Q(x2 , y2) is calculated using the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]

The zip-line course distance from platform A to platform F are given

Coordinates of B = (-25, -20)

coordinates of C = (-15, 5)

Now, the distance between B and C is

= `√(5-(-20))² +((-15)-(-25))²

=√25² + 10²

= √725

= 26.926 units.

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