Simplify the folowing expresions.
a. (4 − 2i)(5 − 3i)
b. (−2 + 3i)(−2 − 3i)
c. (1 + i)2
d. (1 + i)10 (hint: bn = (bn)mm)
e. −1 + 2i
1 − 2i
f. x2 + 4
x − 2i , provided x ≠ 2i

Driving 75 mph, it takes alicia 2 hours to reach the airport to go on a vacation. it then takes her 4 hours to get to her destination with the jet traveling at a speed of 400 mph. how many miles does alicia travel to get to her destination?

Svetlana's hair is 4 4 centimeters ( cm cm) long. her hair grows 1 . 5 cm 1.5cm per month. svetlana wants her hair to be less than 1 6 cm 16cm long. write an inequality to determine the number of months, m m, svetlana can allow her hair to grow so that it is less than 1 6 cm 16cm long.

Atriangle has an area of 72 square inches. if the base of the triangle has a length of 18 inches, what is the height of the triangle? use the formula for the area of a triangle: area = (base)(height) type a numerical answer in the space provided. do not include the units or spaces in your answer.