91Ó°ÊÓ

What is the name of the graph of a quadratic equation in two variables?

The length of a swimming pool is twice the width. The area of the pool is \(5000 \mathrm{ft}^{2} .\) Find the length and width of the pool. (IMAGE NOT COPY)

Solve by factoring. $$z^{2}-4 z+3=0$$

For Exercises 7 to \(47,\) solve by completing the square. $$y^{2}+5 y+4=0$$

In a slow-pitch softball game, the height of the ball thrown by a pitcher can be modeled by the equation \(h=-16 t^{2}+24 t+4,\) where \(h\) is the height of the ball in feet and \(t\) is the time, in seconds, since it was released by the pitcher. If the batter hits the ball when it is 2 ft off the ground, for how many seconds has the ball been in the air? Round to the nearest hundredth. (PICTURE NOT COPY)

The hang time of a football that is kicked on the opening kickoff is given by \(s=-16 t^{2}+88 t+1,\) where \(s\) is the height, in feet, of the football \(t\) seconds after leaving the kicker's foot. What is the hang time of a kickoff that hits the ground without being caught? Round to the nearest tenth. (picture not copy)

Determine the \(x\) - and \(y\) -intercepts. $$y=x^{2}+2 x-6$$

True or false? If you use the quadratic formula to solve \(a x^{2}+b x+c=0\) and get rational solutions, then you could have solved the equation by factoring.

Solve by factoring. $$r^{2}-r-2=(2 r-1)(r-3)$$

Solve by using the quadratic formula. Approximate the solutions to the nearest thousandth. $$w^{2}+8 w-15=0$$