Advanced Math Project Malik Mohammed AL Awadhi. AT1000189 Abdulla Abbas Abdulla. AT1000093 Abdulrahman Ali Albalooshi.AT1000195 Ishaq Abdulla Ishaq Abdulla.

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Advanced Math Project Malik Mohammed AL Awadhi. AT Abdulla Abbas Abdulla. AT Abdulrahman Ali Albalooshi.AT Ishaq Abdulla Ishaq Abdulla. AT Done By: Supervised By : Mr. Yahya Alsakaji Term Section: 11-13

Task 1 (20,2 ) (26,20) (4,11 ) (16.5,26 )

Task 2 Represent the campus (polygon) by vertex matrix. A (20,2)B(4,11) C(16.5,26) D(26,20) [ ] Vertex matrix =

Use the matrix to perform the following transformations. a. The campus is moved by 2 units right and 3 units down. Find the coordinates of the new location. + = [][ ][] Task 3 ImageTranslation

Task 3 Use the matrix to perform the following transformations. b. Dilate the campus image so the perimeter will become 3 times more previous perimeter. What are the coordinate of the vertices of the new image? [] [] =

c. Find the coordinates of the vertices of the original image of the campus after reflection in y=x [] [] [ ] = Task 3

Use the matrix to perform the following transformations. d. Find the coordinates of the vertices of the original image of the campus after it is rotated 270° counterclockwise about the origin. [] [] = [ ] Task 3

e. Choose three vertices on the campus image that contains a land mark on the campus, use the determinant to find its area Area = ½(7.5) = units 2 Det = = = = Task 3

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? 2x + 1y = 10 3x + 2y = = x = y The cost of 1 apple is 3 DHs, and the cost of 1 bottle of orange juice is 4 DHs = 20-17/ =3/1 = = 34-30/4-3 = 4/1 = 4 Task 4

IAT canteen Menu Make a 3 by 2 matrix to organize these data, and then use that matrix to find the prices after discount of 20%. Chicken Sandwich Apple Orange juice New prices = Regular Half-portion = Task 5

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