A walking path across a park is represented by the equation y=-2x-7. A new path will be built perpendicular to this path. The paths will intersect at the point (-2,-3). Identify the equation that represents the new path.

Julia chooses a card at random from her set of cards. what is the probability that the card is labeled cat or hamster?

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

What is the similarity ratio of a cube with volume 729m^3 to a cube with volume 3375 m^3