Let c be the circle with equation x^2+12y+57=-y^2-10x. If (a,b) is the center of c and r is its radius, what is the value of a+b+r?
The graph of $y=ax^2+bx+c$ is given below, where a, b, and c are integers. Find a .
The height (in meters) of a shot cannonball follows a trajectory given by h(t) = -4.9t^2 + 14t - 0.4 at time t (in seconds). As an improper fraction, for how long is the cannonball above a height of 6 meters?
