Determine which of the following are linear transformations. (a) L1:ℝ2 → ℝ2 defined by L1(u) = 7u + 8e1 a linear transformation not a linear transformation (b) L2:ℝ3 → ℝ3 defined by L2 x1 x2 x3 = 6 x2 x3 x1 a linear transformation not a linear transformation (c) L3:ℝ3 → ℝ3 defined by L3 x1 x2 x3 = 3 x2 x1 0 a linear transformation not a linear transformation

1. a right triangle is graphed on a coordinate plane. find the length of the hypotenuse. round your answer to the nearest tenth. 2. use the angle relationship in the figure below to solve for the value of x. assume that lines a and b are parallel and line c is a transversal.

State whether weight is a function of height for the six students and explain. a. yes, height is a function of weight because two students weigh 165 pounds but have different heights. b. no, height is not a function of weight because two students weigh 165 pounds but have different heights. c. yes, weight is a function of height because for each value of height there is one corresponding value of weight. d. no, weight is not a function of height because there is not enough data to determine a function.

Aregular hexagon has sides of 2 feet. what is the area of the hexagon? 12 ft2 12 ft2 24 ft2 6 ft2