Marvin was completing the square, and his work is shown below. identify the line where he made his mistake. f(x) = 2x2 − 8x + 5 line 1: f(x) = 2(x2 − 8x) + 5 line 2: f(x) = 2(x2 − 8x + 16) + 5 − 32 line 3: f(x) = 2(x − 4)2 − 27 line 1 line 2 line 3 he did not make any mistakes

The base of a rectangular pyramid is 13 inches long and 12 inches wide. the height of the pyramid is 8 inches. what is the volume of the pyramid

Asource of laser light sends rays ab and ac toward two opposite walls of a hall. the light rays strike the walls at points b and c, as shown below: what is the distance between the walls?

Talia took the bus from her home to the bank and then walked back to her home along the same route. the bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. to determine the time, x, that it took talia to walk home, she used the equation 40(0.9 – x) = 5x. the time of trip 2 is hours. the distance of trip 1 is km.