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USPshnik [31]
3 years ago
13

Which series of transformations shows that rectangle A is similar to rectangle B?

Mathematics
2 answers:
Brut [27]3 years ago
8 0

Answer:

D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.

Step-by-step explanation:

The coordinates of triangle A are (-2,1) , (1,1), (1,-1) and (-2, -1) while that of triangle B are (-3, 6), (3, 6), (3, -3) and (-3, 3).

To transform A to be we need a combination of two transformations, and that is dilation and rotation.

If A is dilated by a scale factor three through the origin as the center of dilation and then rotated through 90° clockwise with the origin as the center of origin, then rectangle B will be obtained.

CaHeK987 [17]3 years ago
8 0

<u>Answer:</u>

D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.

<u>Step-by-step explanation:</u>

We are two rectangles, A and B, and to determine whether which series of transformations show that A is similar to rectangle B.

The coordinates of rectangle A are: (1, 1), (1, -1), (-2, 1) and (-2, -1) while the coordinates of the rectangle B are: (3, 6), (3, -3), ((-3, 6) and (-3, -3).

To transform rectangle A into rectangle B, we need to dilate A by a scale factor 3 and then rotate it 90 degrees clockwise through the origin.

Therefore, the correct answer option is D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.

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Suppose f(x)=x^3 find the graph of f(x+3)
hoa [83]

Replace x with x+3:

f(x+3) = (x+3)²

which is x² translated 3 units left

7 0
3 years ago
a cell phone company charges $80 per month for unlimited talk, text, and data. write an expression to determine the amount you h
Lunna [17]

Answer:

80x

Step-by-step explanation:

If you pay 80 a month then to find the total you have paid after any number of months you would multiply amount times time which in this case is 80

a constant is the a number on its own so in this case there would be none

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8 0
3 years ago
Let m = X^2 + 3.
Tpy6a [65]

The Equation in terms of m, m^2+7m+10=0

What is substituting in the equation ?

substituting means changing or replacing the values in the given equation.

Calculation:

Given equation is (x^2+3)^2+7x^2+21=-10

            and m= X^2 + 3.

make the given equation in the form X^2 + 3,

             now,

                     (x^2+3)^2+7x^2+21=-10

                     (x^2+3)^2+7(x^2+3)=-10

             where,

                      X^2 + 3= m

              after putting the value or replacing the values

             we get, m^2+7m=-10

                      m^2+7m+10=0

          the above equation is in the form of "m".

The Equation in terms of m, m^2+7m+10=0

Leran more about substitution here:

brainly.com/question/24094293

#SPJ1

4 0
2 years ago
Do any one know the answer
Alenkinab [10]
I believe its 1048576/6561<span />
6 0
3 years ago
The school uses between 300 and 400 sheets of paper per school day. If paper costs the school $2.00 per 100 sheets, approximatel
Nady [450]

Answer:

  • Option A. $140.00

Explanation:

<u>1. Using the minimun number of sheets  of paper in the interval [300, 400]</u>

a) Cost: $ 2.00 / 100 sheets

b) 300 sheets / day × $ 2.00 / 100 sheets = $ 6.00 / day

c) Approimately 20 school days per month:

  • $ 6.00 / day × 20 day = $ 120.00

<u>2. Using the maximum number of sheets of paper in the interval [300, 400]</u>

a) Cost: $ 2.00 / 100 sheets

b) 400 sheets / day × $ 2.00 / 100 sheets = $ 8.00 / day

c) Approimately 20 school days per month:

  • $8.00 / day × 20 day = $ 160.00

<u>3. Middle value:</u>

Calculate the middle value between $160.00 and $120.00

  • [$120.00 + $160.00] / 2 = $140.00

Thus, the answer is the option A.

7 0
3 years ago
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