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ratelena [41]
3 years ago
12

Which composition of transformations would be the inverse of rotating a figure 90° counterclockwise and then reflecting it over

the x-axis?
Mathematics
2 answers:
Tom [10]3 years ago
8 0
It is a 90 degree angle       
bulgar [2K]3 years ago
7 0

Answer:

Therefore reflecting it over the x-axis, then over the y-axis and finally over the line y = x is the correct answer.

Step-by-step explanation:

Rotating a figure counterclockwise 90° and then reflecting it over the x-axis causes the coordinates to change from (x, y) to (-y, -x). To find the inverse you need to find a set of transformations that will take the coordinates (-y, -x) and change them to (x, y). When you reflect a figure over the x-axis the coordinates change from (-y, -x) to (-y, x). If you then reflect it over the y-axis the coordinates would change from (-y, x) to (y, x) and finally reflecting that point over the line y =x would cause the coordinates to change from (y, x) to (x, y).

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Select the point that is a solution to the system of inequalities
Zarrin [17]
<h2>Hello!</h2>

The answer is:

The point that is a solution to the system of inequalities is C(4,2).

<h2>Why?</h2>

To find the point that is a solution to the system of inequalities, we need to evaluate it into the given inequalities. If the point is a solution to the system of inequalities, both inequalities will be satisfied.

We are given the inequalities:

y\leq 2x-2

y\leq x^{2} -3x

So, substituting the given points into the given inequalities, we have:

- A. (2,1)

Substituting into the first inequality, we have:

y\leq 2x-2\\\\1\leq 2*(2)-2\\\\1\leq 4-2\\\\1\leq 2

Substituting into the second inequality, we have:

y\leq x^{2} -3x

1\leq (2)^{2} -3(2)

1\leq (2)^{2} -3(2)

1\leq 4 -6

1\leq -2

Therefore, since 1 is not less or equal to -2, the point A(2,1) is not a solution to the system of inequalities.

- B. (-2,-1)

Substituting into the first inequality, we have:

y\leq 2x-2\\\\-1\leq (-2)*(2)-2\\\\-1\leq -4-2\\\\-1\leq -6

Substituting into the second inequality, we have:

y\leq x^{2} -3x

-1\leq (-2)^{2} -3(-2)

-1\leq 4 +6

-1\leq 10

Therefore, since -1 is not less or equal to -6, the point B(-2,-1) is not a solution to the system of inequalities.

- C. (4,2)

Substituting into the first inequality, we have:

y\leq 2x-2\\\\2\leq (4)*(2)-2\\\\2\leq 8-2\\\\2\leq 6

Substituting into the second inequality, we have:

y\leq x^{2} -3x

2\leq (4)^{2} -3(4)

2\leq 16 -12

2\leq 4

Therefore, since 2 is less than 6, and 2 is less than 4, the point B(4,2) is a solution to the system of inequalities.

- D(1,3)

Substituting into the first inequality, we have:

y\leq 2x-2\\\\3\leq (1)*(2)-2\\\\3\leq 2-2\\\\3\leq 0

Substituting into the second inequality, we have:

y\leq x^{2} -3x

3\leq (1)^{2} -3(1)

3\leq 1 -3

3\leq -2

Therefore, since 3 is not less than 0, and 3 is not less than -2, the point D(1.3) is not a solution to the system of inequalities.

Hence, the point that is a solution to the system of inequalities is C(4,2).

Have a nice day!

6 0
3 years ago
Need help have no idea how to do this
Anna11 [10]
Number one is parallel


4 0
3 years ago
What is 138.4 divided by 16
ser-zykov [4K]
I got 8.65 if this any help
6 0
3 years ago
At 12:00 AM (hour 0 of the day) the tide at a certain beach was at its lowest level of the day: 1.0 feet. At 6:00PM (hour 18 of
tankabanditka [31]

Answer:

<h2>At noon the tide will be at the lowest point which is 1 ft                                        </h2>

Step-by-step explanation:

please see attached a sketch of the solution for your reference

What is a sinusoidal wave?

Alternatively called a sine wave is a type of wave that shows a repetitive pattern or oscillation, it normally starts from a low point moves to the next point which is usually higher than the previous and repeats itself as the whole process continues

                         

5 0
3 years ago
Is the domain {1.8,3.4,9,9.8}
Effectus [21]
You need to find the values of x that correspond to the given values of f(x). That is, you need to solve for x:
.. y = 7x -2.7
.. y +2.7 = 7x
.. x = (y +2.7)/7

You are given y values of {14.1, 30.9, 41.4, 58.9, 68}. The corresponding x values are {2.4, 4.8, 6.3, 8.8, 10.1}, corresponding to selection C.

_____
Since the first number in each choice is different, you only need to evaluate f(x) for those numbers to see which gives the correct result. Only the 3rd one (2.4) give f(2.4) = 14.1, the correct answer.

4 0
3 years ago
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