In each of the following, show the logical equivalence using the specified method. (a) ( p q) = [(paq) v(-pa-q)] (use truth table.) (b) [(p = r)^( q r)] = [(pvq) = r (use logic laws.) (c) [p+ (q=r)] = [(paq) = r (use logic laws.) (d) [p= (qar)] = [(p+q)^(p = r)] (use logic laws.)

On a piece of paper, graph y< x+1. then determine which answer matches the graph you drew.

Aflagpole broke in a storm. it was originally 8 1 81 feet tall. 2 8 28 feet are still sticking straight out of the ground, where it snapped, but the remaining piece has hinged over and touches the ground some distance away. how far away is the end of the pole from the base of the pole along the ground?

Talia took the bus from her home to the bank and then walked back to her home along the same route. the bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. to determine the time, x, that it took talia to walk home, she used the equation 40(0.9 – x) = 5x. the time of trip 2 is hours. the distance of trip 1 is km.