Suppose you need to minimize the cost of fencing in a rectangular region with a total area of 550 square feet. The material that will be used for three sides costs $18 per linear foot, and the material that will be used for the fourth side costs $27 per linear foot. Write a function that expresses the cost of fencing the region in terms of the length, x , of the two opposite sides of the region with material costs of $18 per linear foot.

You are responsible for designing a new city. you are inspired by pierre charles l'enfant, who laid out the streets of our nation's capital. numbered streets run north and south, and lettered streets run east and west. avenues are named after states, and they intersect the streets on a diagonal. the streets are parallel and the intersections form similar triangles. 18th st. is 454 meters long and the intersection of 18th and k st. is 207 meters from connecticut ave. if 19th st. and k st. is 385 meters from connecticut ave., what is the length of 19th st.?

Liam's parents are driving three times as fast as liam is biking, but they left later than he did. if his parents caught up with him two hours after he left, how much later than liam did they leave?

Place the following steps in order to complete the square and solve the quadratic equation,