Answer:
All points on line x+y = 0 or x-y=0 will satisfy the transformation.
Step-by-step explanation:
Let (x, y) be the general such point.
Hence rotating it by 180 deg. counterclockwise will give us (-y,-x).
Reflecting (-y,-x) on x axis gives us (-y,x).
Hence if (x,y) = (-y,x) then all ( x, y) where x = -y or x+y = 0 or x=y or x-y=0 will satisfy this condition.
All points on line x+y = 0 or x-y=0 will satisfy the transformation.
Answer:
Therefore the rate change of height is 
m/s.
Step-by-step explanation:
Given that a vertical cylinder is leaking water at rate of 4 m³/s.
It means the rate change of volume is 4 m³/s.
The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.
The height of the cylinder be h(say).
The volume of a cylinder is 
Differentiating with respect to t.
Putting the value 
The rate change of height does not depend on the height.
Therefore the rate change of height is m/s.
Answer:
is there any data?
Step-by-step explanation:
the "given data" would really help
I saw the images that accompanied this problem.
2 circles: circle 1 has 6 slices ; circle 2 has 3 slices
Circle 1 is for Tom: you can shade 4 slices out of the 6 slices.
Circle 2 is for Liz: you can shade 2 slices out of the 3 slices.
4/6 is equal to 2/3 because when 4 and 6 are both divided by 2, they give quotient of 2 and 3, respectively.
4 ÷ 2 = 2
6 ÷ 2 = 3
