(Solved): A pool measuring 12 meters by 28 meters is surrounded by a path of uniform width, as shown in the ...

A pool measuring 12 meters by 28 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 1232 square meters, what is the width of the path? x 12 28 28 + 2x 12 + 2x The width of the path is meters. Graph the function f(x) = (x + 2)² + 1. Use the graphing tool to graph the parabola. Click to enlarge graph ~ -10 -8 -6 10- Ay -8- 6- 4- 2- 2 4- -6 --8- 10 X 8 10 ? Solve the equation using the quadratic formula. 2x² = 10x + 3 X = (Simplify your answer. Type each answer as a single fraction using radicals as needed. Use a comma to separate answers.) Multiply and divide as indicated. x²+x-56 x² +6x+5 x + 1 x +X-12 x²-x-42 x² + 10x + 24 X ? x²+x-56 x² +6x+5 2 + + X + 1 2 2 x +X-12 x-x-42 x + 10x + 24 (Simplify your answer. Leave your answer in factored form.) 1 X + 1 + 4 = 9 x + 1 a. Write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. a. The restrictions on the variable are x # (Use a comma to separate answers as needed.) b. Select the correct choice below and fill in any answer boxes within your choice. A. The solution is x = (Simplify your answers. Use a comma to separate answers as needed.) B. There are no solutions. Perform the indicated operations. y-1-(y+9)-1 9 y-1-(y+9)-1 9 ·=?y² # (Simplify your answer.) Solve the inequality and determine the graph of the solution set. Express the solution set using interval notation. 1 5?3x+4<7 The interval is Choose the correct graph below. O A. -10 -10 -8 -8 -6 -6 + -4 + -2 + -2 0 + 2 + 2 4 6 6 8 8 10 10 B. -10 -10 + -8 -8 -6 -6 + A -4 -2 -2 0 + 2 IN + 2 4 4 6 6 8 8 10 + 10