Polygon ABCD is dilated by a certain scale factor with the origin as the center of dilation to form the image A′B′C′D′. The length of is 5.6 units, and the length of is 2.24 units. The value of the scale factor is
. Write your answer as a decimal number to two decimal places.

For what values of x is x2 + 2x = 24 true?

Def rotates 90 clockwise about point a to create d’ e’ f’. therefore, which equation must be true ?

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?