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earnstyle [38]
4 years ago
14

To help solve the trigonometric inequality 2sin(x)=>-1, which two equations can be graphed?

Mathematics
1 answer:
soldier1979 [14.2K]4 years ago
6 0

Answer:

B. y=sin(x) and y=-1/2

Step-by-step explanation:

We have been given the following trigonometric inequality;

2sin(x)=>-1

The above inequality can be re-written as;

sin(x)=>-1/2

after dividing both sides by 2.

We can then formulate two separate equations, one containing the expression on the right hand side and the other containing the expression on the left hand side;

From the left hand side we form the following equation;

y = sin(x)

From the right hand side we form the following equation;

y = -1/2

Therefore, the above two equations can be graphed to help solve the given trigonometric inequality

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I dont know how to do this
inn [45]

The dimensions of the rectangle are: length= 18 in and width =1 in.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, in a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle can be found for the formula : l*w, where b = length and w =width. The question gives that the area is 18 in².

For this question, the length exceeds its width by 17 inches - l=w+17. Thus,  from the value of area given, you can find the values of the length and width of the rectangle.

A=l*w

18=(w+17)*w

18=w²+17w

w²+17w-18=0

Next step will be solve the previous equation ( W²+17W-18=0)

w_{1,\:2}=\frac{-17\pm \sqrt{17^2-4\cdot \:1\cdot \left(-18\right)}}{2\cdot \:1}\\ \\ w_{1,\:2}=\frac{-17\pm \:19}{2\cdot \:1}

Therefore,

w_1=\frac{-17+19}{2\cdot \:1}=1\\ \\ \\ w_2=\frac{-17-19}{2\cdot \:1}=-18

For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.

As, the area (l*w) is 18 in², you have.

18=l*w

18=l*1

l=18 in

Read more about the area of rectangle here:

brainly.com/question/25292087

#SPJ1

3 0
2 years ago
Use a matrix to find the coordinates of the endpoints or vertices of the image of each figure under the given reflection.
hjlf
The vertices of the original quadrilateral can be written in matrix form using the vertex matrix. The vertex matrix is
     \begin{pmatrix}-5&-1&-3&-7\\ 4&-1&-6&-3\end{pmatrix}

To find the coordinates of the endpoints or vertices of the image of the given coordinate points reflected about the y-axis, we just need to multiply the transformation matrix by the vertex matrix. The transformation matrix for this particular problem is 
     \begin{pmatrix}-1&0\\ 0&1\end{pmatrix}

Multiplying the two matrices, we have
     \begin{pmatrix}-1&0\\ 0&1\end{pmatrix}\begin{pmatrix}-5&-1&-3&-7\\ 4&-1&-6&-3\end{pmatrix}=\begin{pmatrix}5&1&3&7\\ 4&-1&-6&-3\end{pmatrix}

Therefore, the coordinates of the endpoints or vertices of the image are (5,4), (1,-1), (3, -6) and (7, -3).
     
7 0
3 years ago
-0.5g + 13 = 3g<br> Solve the equation
mel-nik [20]

Answer:

13+3g=2g

We simplify the equation to the form, which is simple to understand  

13+3g=2g

We move all terms containing g to the left and all other terms to the right.  

+3g-2g=-13

We simplify left and right side of the equation.  

+1g=-13

We divide both sides of the equation by 1 to get g.  

g=-13

Step-by-step explanation:

13+3g=2g

We simplify the equation to the form, which is simple to understand  

13+3g=2g

We move all terms containing g to the left and all other terms to the right.  

+3g-2g=-13

We simplify left and right side of the equation.  

+1g=-13

We divide both sides of the equation by 1 to get g.  

g=-13

8 0
3 years ago
Read 2 more answers
If u can't see, 2 is 1/5, 2/3, 5/8....... 3 is 1/2, 2/5, 6/10........ 4 is 4/6, 7/12, 5/10 and 5 is 1/4, 5/8, 1/2 and the Instru
stepladder [879]
Well 5/10 is smaller than 7/12.4/6 is bigger than 7/12. 4/6 is bigger than 5/10.

Hope this helped
4 0
3 years ago
Read 2 more answers
What is the equation, in point-slope form, of the line
Delvig [45]

Answer:

Step-by-step explanation:

Given:

The line parallel to the given line containing the points (-3,3) and (-2,1).

Also, the parallel line passes through the point (4,1).

We need to determine the equation of the line in slope - intercept form.

Slope:

Since, the two lines are parallel, then their slopes are equal.

Thus, the slope of the parallel line can be determined using the formula,

Substituting the points (-3,3) and (-2,1), we get;

Thus, the slope of the line is

Equation of the line:

The equation of the line can be determined using the formula,

Since, the line passes through the point (4,1), let us substitute the point (4,1) in the above formula, we have;

Thus, the equation of the line is

Hence, y − 1 = −2(x − 4) is the correct answer.

:)

6 0
3 years ago
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