Use the correct notation to describe a reflection across the y-axis followed by a translation of 3 to the right and 7 down.

Please show all the work on how you got your answer.

  (x, y) ⇒ (-x+3, y-7)

Step-by-step explanation:

Notations vary. We don't know what you consider to be "correct notation," so we'll use a reasonable notation and you can translate it to the form you're used to seeing.

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Reflection across the y-axis reverses the sign of the x-coordinate. Points that were to the right of x=0 are now to the left, and vice versa. That transformation is ...

  (x, y) ⇒ (-x, y)

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Translation 3 units right increases the x-coordinate value by 3.

Translation 7 units down decreases the y-coordinate value by 7.

These translations have a transformation ...

  (x, y) ⇒ (x +3, y -7)

Together, the two transformations are ...

  (x, y) ⇒ (-x, y) ⇒ (-x +3, y -7)

The combined transformation can be described by ...

  (x, y) ⇒ (-x+3, y-7)

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3