Shadows cast angles at equal measures, making triangles formed by shadows similar. Lance the alien is 5 feet tall. His shadow is 8 feet long.

Complete the square to determine the minimum or maximum value of the function defined by the expression. x2 − 12x − 2 a) maximum value at 38 b) minimum value at 38 c) maximum value at −38 d) minimum value at −38

Match each statement with its corresponding value for the system below: y = -2(3)x and y = 9x - 2 1. the number of points of intersection. -2 2. the x-coordinate of the solution. 1 3. the y-coordinate of the solution. 0

Abag contains 4 red, 7 blue and 5 yellow marbles. event a is defined as drawing a yellow marble on the first draw and event b is defined as drawing a blue marble on the second draw. if two marbles are drawn from the bag, one after the other and not replaced, what is p(b|a) expressed in simplest form? a. 7/16 b. 7/15 c. 14/16 d. 14/15