If f(x)=4x-1 and g(x)=x^2+7 ,find G(f(x))

What are the coordinates of the point that is 1/3 of the way from a to b? a (2,-3) b (2,6)

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?

Use the squared identities to simplify sin^2x cos^2x