Using the quadratic formula, solve for x in the following quadratic equation, LaTeX: x^2+4x+11=0x 2 + 4 x + 11 = 0 . Quadratic Formula:

There is a line with slope 1/a going through the point (a, a²). find the equation of the line perpendicular to this line at this point. (don’t let this problem intimidate you! solve the problem as you would if i’d given you specific values. just use variables instead.)

Gabriel paints flower pots to sell at a craft fair. she paints 2/5 of a flower pot teal, 1/4 of it yellow, and the rest of it white. what fraction of the pot is painted either teal or yellow?

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.