Benjamin is doing some remodeling at his home. he currently has a triangular patio that has a base that is two times as long as its height. he wants to increase the length of the base of the patio by 4 feet and the length of the height of the patio by 9 feet. if x represents the height of the patio, which of the following functions will give the area of the new patio? a. f(x) = x2 + 11x + 18 b. f(x) = x2 + 8.5x + 18 c. f(x) = 2x2 + 36 d. f(x) = 2x2 + 22x + 36

Δabc is reflected across line l to form δ alblcl, and a¯¯¯al¯¯¯¯ intersects line l at point d. which equation is not necessarily true?

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?

Ven the functions, f(x) = 5x2 - 3x + 1 and g(x) = 2x2 + x - 2, perform the indicated operation. when applicable, state the domain restriction. (f - g)(x) 3x2 - 4x + 3 3x2 - 2x - 1 3x2 - 4x - 1 3x2 - 2x + 3