The coordinates of the vertices of quadrilateral abcd are a(−4, −1) , b(−1, 2) , c(5, 1) , and d(1, −3) . drag and drop the choices into each box to correctly complete the sentences. the slope of ab ¯ ¯ ¯ ¯ ¯ is , the slope of bc ¯ ¯ ¯ ¯ ¯ is , the slope of cd ¯ ¯ ¯ ¯ ¯ is , and the slope of ad ¯ ¯ ¯ ¯ ¯ is . quadrilateral abcd a parallelogram because . − 2 5 − 1 6 1 3 2 isis notboth pairs of opposite sides are parallelonly one pair of opposite sides is parallelneither pair of opposite sides is parallel

The power generated by an electrical circuit (in watts) as a function of its current c (in amperes) is modeled by p(c)= -15c(c-8) what current will produce the maximum power?

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)