Show that if y=mx+c is a tangent to the circle x^2+y^2=r^2,then c^2=r^2(1+m^2)

How is working backward similar to solving an equation?

Noel is hoping to make a profit (in $) on the school play and has determined the function describing the profit to be f(t) = 8t – 2654, where t is the number of tickets sold. what does the number 8 tell you?

What are the measures of angles a, b, and c? show your work and explain your answers. 25 points