The expression on (3+i)(4+5i) can be written in form a+bi, where a and b are integers. What are the values of a and b? (Show your work please)

Aregular hexagon rotates counterclockwise about its center. it turns through angles greater than 0° and less than or equal to 360°. at how many different angles will the hexagon map onto itself?

Boris needs to buy plastic spoons. brand a has a box 42 spoons for $2.37. brand b has a box of 72 spoons for $3.57. find the unit price for each brand. then state which brand is the better buy based on the unit price. round your answer to the nearest cent.

Using elimination, what is -4x+2y=-12 4x+8y=-24