Find the length of the tangent drawn from the point (4, 6) to the circle 3х^2 + 3у^2 + 12х +4у -35=0.

2. (a) Find the distance between (-5, 7) and (2, -3). (b) Find the midpoint of the segment whose endpoints are (-10, 4) and (3, 8).

Plot the line y=1-3x and the curve y=34.6-x^2 (all under a square root). Find their point of intersection. Then find the acute angle between the tangent lines at this point of intersection.  Look at the plot to determine if you need to add or substract their inclinations

Find the distance from the point (2, 2, 3) to the line passing through (0, 0, 0)and (1, 1, 0)