The graph of the parabola defined by the equation $y=-(x+1)^2+1$ is shifted 1 unit to the right, then shifted 5 units down, then rotated 180 degrees about its vertex. the resulting parabola has zeros at $x=a$ and $x=b$, where $b\ge a$. what is $b-a$?

Joanie wrote a letter that was 1 1/4 pages long. katie wrote a letter that was 3/4 page shorter then joagies letter. how long was katies letter

The volume of the sun is approximately 1 × 10^18 cu km, while the volume of jupiter is approximately 1 × 10^15 cu km. which of the following is true? a. the volume of jupiter is approximately one thousand times the volume of the sun. b. the volume of jupiter is approximately one hundred times the volume of the sun. c. the volume of the sun is approximately one thousand times the volume of jupiter. d. the volume of the sun is approximately one hundred times the volume of jupiter.

Sam is picking fruit from a basket that contains many different kinds of fruit. which set of events is independent?