Hello dear tutor, please help me get all the questions correctly this is very important. For all questions, be sure to show all work, define your variables, and verify your answers. Include units and check whether answers should be converted to decimals or left in exact values.Each question is worth 4 marks.

Q1.

1. Solve the following by completing the square. Walter built a backyard rink that measures 4 m by 8 m. For next season, he decides that he would like to extend each side by an equal amount in order to double the area of his rink. How much will he need to add to each side in order to double the existing area? Draw a diagram that represents this scenario before solving the problem. Express your answer in both exact AND decimal form (nearest 100th). Be sure to indicate if all solutions are valid! *Remember A=lw.2. Solve the following by factoring. The sum of the squares of 3 consecutive integers is 365. Algebraically determine the numbers. *Note: consecutive means 'in order3. Solve the following using the quadratic formula.. Three lengths of rope measure 20cm, 41cm and 44cm. If the same length is cut off each piece, the remaining lengths can be formed into a right triangle. What length is cut off? Leave answers in exact form and be sure to indicate if both answers are valid.4. Solve the following by grafti\"? {calculators are allowed). Sketch your graph bci'ow - dot; 'rfoijgoiT to label your axis! Jasmine swings at a pitch and hits a high popup towards the pitcher. The height {h} of the hall in metres= (t) seconds after it was hit can be modelled by the function Pitt/i = 4.131\" + Stir - 16. a. 1What is the maximum height the hall 1:. The pitcher caught the hall at a height of 1.1 reaches\"? Express your answer to the In. How long was the hall in the air when nearest l'th of a metre. she caught it? Express your answer to the nearest l'th of a second. c. What is the domain and range: given the context of this question? d. At what height does Jasmine initially contact the hall? How do you know? . . . . . .......... . ..... ..... . . . . . . . . . . . .. . . ... . .. . . . . . . . . . . ... . .. . . . .. . . . . . .. . . . . .. . . . . . . . . ". . . . . . .2. ... . . . . . . . . . . . .. . . . . . . . .. . . . . . ..... ...................................................................................... . . .... .1. . . * . . . .. . . . . . . . . . . . . ........". . . . . . . 1. . . ............................... ... . ... . . . . . . . . . . . ....... ...............