Given point A (4,5) and point B (0,0), find the coordinate of point Pon the directed line segment AB that partitions AB in the ratio 3:2.

Asequence has its first term equal to 4, and each term of the sequence is obtained by adding 2 to the previous term. if f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? (1 point) f(1) = 2 and f(n) = f(n − 1) + 4; n > 1 f(1) = 4 and f(n) = f(n − 1) + 2n; n > 1 f(1) = 2 and f(n) = f(n − 1) + 4n; n > 1 f(1) = 4 and f(n) = f(n − 1) + 2; n > 1 i will award !

Find the distance from the theater to the library. leave your answer in simplest radical form if necessary. 12 √12 74 √74

A, at (-2, 4), is 6 .of a'? (-8, 4) (-8, -2) (-2, -2) (-2, 4) b, at (-4, -7), isy-.of b'? (-4, 7) (4, -7) (4, 7) (-4, -7)