Marvin was completing the square, and his work is shown below. identify the line where he made his mistake. f(x) = 2x2 − 8x + 5 line 1: f(x) = 2(x2 − 8x) + 5 line 2: f(x) = 2(x2 − 8x + 16) + 5 − 32 line 3: f(x) = 2(x − 4)2 − 27

At a sale this week, a desk is being sold for $213. this is a 29% discount from the original price. what is the original price?

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Find the length of the diagonal of the rectangle. round your answer to the nearest tenth. || | | 8 m | | | | 11 m