The triangle below is reflected over the line x = 4. Which transformation(s) would produce the same image?
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A Reflecting over the x-axis and then translating to the right 4 units
B. Reflecting over the y-axis and then translating to the right 4 units
C Reflecting over the y-axis and then translating to the right 8 units
D Reflecting over the x-axis and then translating to the right 8 units

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  C.  Reflecting over the y-axis and then translating to the right 8 units

Step-by-step explanation:

Reflection over the line x=4 gives you the transformation ...

  (x, y) ⇒ (2·4 -x, y) = (-x +8, y)

This is precisely the same transformation you get by reflection over the y-axis:

  (x, y) ⇒ (-x, y)

followed by translation to the right 8 units:

  (-x, y) ⇒ (-x +8, y)

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Reflection over x=4 is the same as reflection over y and translation right 8.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

a is 8.b is 10.c is 10.5. d is -.5

step-by-step explanation:

just minus the smallest number from the biggest.