Answer following questions

AH changes saved 14. Mr. Hamilton is placing a support plank along the diagonal of a gate. The height of the gate is 5 feet, and the diagonal is 1 foot longer than the width of the gate, as shown below. a 5 {68' l W What is the width, in feet, of the gate? \fAll changes saved 25. The average cost for a company to produce x items is :2 - 101+43 dollars. How many items should the company produce to minimize the average cost per item? 05 043 010 018 AH cnanges savea 20. For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part c. Part A: A science class launched toy rockets. The quadratic equation 162 + 3613 8 = 0 represents the height of the rocket at time t seconds. Solve the equation using the quadratic formula. Part B: Show all of your work for Part A. Part C: Is the solution feasible? Explain why or why not. my UidHyEo savvu 21. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part c. A bottle rocket is launched by a science class. The height in feet, h, of the rocket can be determined using the formula h : 16t2 + 50f + 2, where t represents the time since the rocket was launched. Part A: Identify a, b, and c. Part B: Determine the t-value of the vertex. Round to the nearest hundredth if necessary. Show your work. Part c: Determine the maximum height the rocket reaches. Round to the nearest hundredth if necessary. Show your work