Y=x^{2}+6x+14 in vertex form

Ling listed all of the factors of a mystery number: 1,2,4,8,16,32 what is the mystery number?

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

Aramp rises 4 feet over a distance of 10 feet. what is the length of the ramp?