109. This question assesses the student’s ability to complete the square and apply the quadratic formula to a quadratic function. (a) (b) Because the discriminant is negative, there are no real zeros for this quadratic. 117. This question assesses the student’s ability to use polynomial arithmetic and solve equations in applied situation. (a) Given that = 2h and = 25 b A The negative is extraneous here, so the base has length 10 m and the height is 5 m. (b) Any similar triangle has a base twice the length of the height, so The area can be any positive number (in square feet) that is a perfect square, since is an integer. For example, if h h = 4 feet, then = 16 square feet. A 118. This question assesses the student’s ability to use polynomial arithmetic and solve equations in applied situation. Graphing and = 150: d
109. This question assesses the student’s ability to complete the square and apply the quadratic formula to a quadratic function. (a) (b) Because the discriminant is negative, there are no real zeros for this quadratic. 117. This question assesses the student’s ability to use polynomial arithmetic and solve equations in applied situation. (a) Given that b = 2h and A = 25 The negative is extraneous here, so the base has length 10 m and the height is 5 m. (b) Any similar triangle has a base twice the length of the height, so The area can be any positive number (in square feet) that is a perfect square, since h is an integer. For example, if h = 4 feet, then A = 16 square feet. 118. This question assesses the student’s ability to use polynomial arithmetic and solve equations in applied situation. Graphing and d = 150: