The volume V of a cube with sides of length x inches is changing with respect to time t (in seconds). When the sides of the cube are 10 in. long and increasing at the rate of 0.5 in/sec, how fast is the volume of the cube increasing?

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?