Question

Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank

1. 1. Complete the transformation statement for moving Paul’s pole barn, (x,y) (x+ fill in the blank, y + fill in the blank)
2. Draw the new location of the pole barn on the graph below. Note that the stock tank is located at the origin
3. How far is it from the old location to the new location? (Hint: use the distance formula

Answer 1

Explanation:

(x,y) ↦ (x+130, y-105)

original position of SE corner: (-50,25)

new position of SE corner: (80,-80)

distance =
`\sqrt{(80-(-50))^(2)+(-80-25)^(2) }`≅167.1 ft