Show that the straight line with equation 2x+y-8 = 0 is a tangent to a circle with equation x^2 + y^2 + 4x - 4y - 12 = 0. what is the equation of the radius drawn to the point of contact?

The functions q and r are defined as follows. q(x)= -2x+2 r(x)= x^2 - 1 find the value of r(q(

Problem fathi wants to print out a pdf document that is 48 pages long. to save paper, he decides to print on both sides of each sheet and to print two pages on each side of the sheet. how many sheets of paper will he need?

For what values of the variable x is the expression square root of 7x+14+ square root of 7-x a real number?