Allie is playing basketball. She takes a shot 25 ft away from the basket. When the ball is 4 ft away from her, it is at a height of 10 ft above the floor. The ball reaches its highest height of 18 ft above the floor when it is 12 feet away from her.
a. Find the value of a
b. If the hoop is 10 ft high, how close would Allie have to be in order to make the basket?
a. The value of a is

One of the inventors of integrated circuits observed that the number of transistors that fit on an integrated circuit will double every 24 months. what type of relationship most appropriately models this situation?

Carl's candies has determined that a candy bar measuring 3 inches long has a z-score of +1 and a candy bar measuring 3.75 inches long has a z-score of +2. what is the standard deviation of the length of candy bars produced at carl's candies?

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?