Need help with these six questions

1. When do you use the quadratic formula to solve for a quadratic equation? Explain.

Answer: _______________

2. A water balloon is thrown off a three-story building at a height of 30 ft. with a velocity of 18 feet per second. Using the given equation, find the time it takes for the ball to reach 6 feet from the ground.

h = -16t² 18t + 30

Answer: _______________

3. The demand for a brand of coffee makers is represented by the equation

-c² + 200c = 0

Solve the equation to find the maximum demand for the coffee makers.

Calculations:

Answer: _______________

4. A toy rocket takes off with an initial velocity of 14 feet per second. If t represents the time after the rocket takes off, find the time it takes for the rocket to reach 214 feet.

h = 16t² +14t + 0

Calculations:

Answer: _______________

5. A triangular sand box has one leg that is 2 feet shorter than the other leg. If the hypotenuse is 5 feet longer than the shorter leg, find the approximated length of each side of the right triangle. Round each side to the nearest tenth. (Hint: Use the Pythagorean Theorem a² + b² = c².)

Calculations:

Answer: _______________

6. A rectangular pool has a length that is 9 feet more than its width. If the area of the pool is 162 square feet, find the width and length.

Calculations:

Answer: Width = ________________

Length = _______________