Two lines are translated to the right 8 units and then rotated 270∘ clockwise. The result of their transformation is shown on the graph. A four quadrant coordinate plane is shown. Two lines are graphed. A straight line passes through the points zero comma five and four comma five. Another straight line passes through the points zero comma three and four comma three.

Which statement is true about the original lines before they were transformed?

They were skew.

They were parallel to each other.

They were perpendicular to each other.

They intersected each other, but they were not perpendicular.

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 ?