Find the coordinates of the vertices of a quadrilateral after reflection across the parallel lines; first across the x-axis and then across the line y= 1. R(0,1), S(3,0), T(5,-4), Q(1,-3)

  R'(0, 3), S'(3, 2), T'(5, -2), Q'(1, -1)

Step-by-step explanation:

The first reflection gives you the transformation ...

  (x, y) ⇒ (x, -y)

The second reflection gives you the transformation ...

  (x, y) ⇒ (x, 2 -y)

Applying the second transformation to the result of the first gives the overall transformation ...

  (x, y) ⇒ (x, 2 -(-y)) = (x, 2+y)

That is, the double reflection is equivalent to a translation upward of 2 units. So, we add 2 to each y-value:

  R'(0, 3), S'(3, 2), T'(5, -2), Q'(1, -1)

2.

according to newton’s cannonball model, what happens if the cannonball's velocity is enough to overpower the pull of earth’s gravitystep-by-step explanation:

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.