Which of the following subsets of P2 are subspaces of P2? A. {p(t) | p(3)=0} B. {p(t) | p(−t)=−p(t) for all t} C. {p(t) | p(0)=3} D. {p(t) | p′(t)+8p(t)+5=0} E. {p(t) | ∫60p(t)dt=0} F. {p(t) | p′(t) is constant }

A20? -foot ladder is placed against a vertical wall of a? building, with the bottom of the ladder standing on level ground 19 feet from the base of the building. how high up the wall does the ladder? reach?

Aregular hexagon rotates counterclockwise about its center. it turns through angles greater than 0° and less than or equal to 360°. at how many different angles will the hexagon map onto itself?

In the following diagram it is given that dec, ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2