Rectangle A’B’C’D is similar to rectangle ABCD, as shown on the coordinate plane below. Which sequence or transformations maps rectangle ABCD onto rectangle A’B’C’D

B. A reflection over the y-axis, then a dilation by scale factor of 1/2 with a center of dilation at the origin.

Step-by-step explanation:

In the picture attached, the complete question is shown.

Coordinates of points:

A (2, 4)

B (6, 4)

C (6, 2)

D (2, 2)

After reflection over the y-axis:

(x, y) -> (-x, y)

A (2, 4) -> (-2, 4)

B (6, 4) -> (-6, 4)

C (6, 2) -> (-6, 2)

D (2, 2) -> (-2, 2)

After dilation by scale factor of 1/2 with a center of dilation at the origin:

(x, y) -> (x/2, y/2)

(-2, 4) -> (-1, 2) A'

(-6, 4) -> (-3, 2) B'

(-6, 2) -> (-3, 1) C'

(-2, 2) -> (-1, 1) D'

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

step-by-step explanation: