Abdalla Suliman Ali al-Slamy At1001245 11-01

1. Adv. MAT Project 1 Done by :- Abdalla Suliman Ali al-Slamy At1001245 11-01

2. The Institute of Applied Technology ATHS has 5 campuses in Abu Dhabi, Al ain, Dubai, Fujairah, and RAK. Task 1: Students will find a map of their campus and paste it on a coordinate plane, find the ordered pairs (x, y) for four corners (vertices) of the campus. DONE

3. Task 2: Represent the campus (polygon) by vertex matrix A T H S X Y DONE

4. Task 3:Use the matrix to perform the following transformations. DONE

5. The campus is moved 2 unit to the right and 3 units down. Find the new location. 2 - a = + DONE

6. 2 - b Dilate the campus image so the perimeter will become 3 times more previous perimeter. What are the coordinate of these vertices of the new image × 3 = DONE

7. 2 - c Find the coordinates of the vertices of the original image of the campus after reflection in y=x × = DONE

8. Find the coordinates of the vertices of the original image of the campus after it is rotated 2700 counterclockwise about the origin 2 - d × = DONE

9. Choose three vertices on the campus image that contains a land mark on the campus, use the determinant to find it's area. 2 - e × = = ( 10 + 15 + 15 ) - ( 25 + 3 + 30 ) = ( 40 ) - ( 58 ) = -18 DONE

10. Task 4: Your campus canteen sells bottle of orange juice and apples. Ahmed bought 2 apples and 1 bottle of orange juice for 10 DHs. Abdullah bought 3 apples and 2 bottles of orange juice for 17 DHs. What is the cost of 1 apple and 1 bottle of orange juice? Apples a Bottles  b 3a + b = 10 3a + 2b = 17 a = ∆a / ∆ a = 3 / 1 a = 3 (2×3) - (3×1) = 1 ∆ = = b = ∆b / ∆ b = 4 / 1 b = 4 (10×2) - (17×1) = 3 ∆ a = = (2×17) - (10×3) = 4 ∆ b = = DONE

11. Task 5 Make a 3 by 2 matrix to organize these data, and then use that matrix to find the prices after discount of 20%. • ATHS canteen Menu   •  = × = = DONE

13. Done By :- Abdalla Suliman Ali Al-Slamy At1001245 10:01