12 The product of two consecutive positive integers

12. The product of two consecutive positive integers is 132. Write an equation to model the situation. What are the two consecutive integers?

13. The formula for the volume of a cylinder is V = πr 2 h. Solve the formula for r. (on next slide)

13. The formula for the volume of a cylinder is V = πr 2 h. b) If the volume of a cylinder is 200π cubic inches and the height of the cylinder is 8 inches, what is the radius of the cylinder?

14. Graph the function represented by the equation y = 3 x 2 – 6 x – 9, Identify the domain, range, x-intercept, y –intercept, maximum/minimum, zeros, interval of increase and decrease

15. A garden measuring 8 feet by 12 feet will have a walkway around it. The walkway has a uniform width, and the area covered by the garden and the walkway is 192 square feet. What is the width of the walkway? A. 2 feet B. 3. 5 feet C. 4 feet D. 6 feet

16. The formula for the surface area of a cone is SA = πr 2 + πrs. Write an equation to show the formula in terms of s?

17. Solve the equation x 2 – 100 = 0 by using square roots method.

18. What are the solutions to the equation 6 x 2 – x – 40 = 0

19. An object is thrown in the air with an initial velocity of 5 m/s from a height of 9 m. The equation h(t) = – 4. 9 t 2 + 5 t + 9 models the height of the object in meters after t seconds. How many seconds does it take for the object to hit the ground? A. 0. 94 secs. B. 1. 77 secs. C. 1. 96 secs. D. 9. 0 secs.

20. What are the solutions of this system of equations