Rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)
true or false

We know that when a figure or point is rotated by 360° about the origin, it would return the figure or point to its original position.

Therefore, the statement that ''rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)'' is FALSE.

Step-by-step explanation:

We know that when a figure or point is rotated by 360° about the origin, it would return the figure or point to its original position.

For example, if a point P(x, y)  is rotated by 360° about the origin, it would return point P(x, y) to its original position.

i.e.

(x, y) → (x, y)

Therefore, the statement that ''rotation by 360 degrees about the origin maps P(x, y) to P’(-x, -y)'' is FALSE.

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.