Please answer all parts ASAP

ree Write your name on the front of this package. You may use your notebook for reference, but not your textbook. Record all of your work in this booklet. Record your nal answers in the boxes provided. Choose ONLY 4 Questions to answer. For each question, show all your work including all formulas, units, and appropriate mathematical justication. You must use methods learned in this course. Guess and check will not receive full marks. You may solve the questions either algebraically OR graphically, o If you choose to solve a question graphically: I your graph must be clearly marked and labeled on the grid I you must explain in words what you did to solve the question in the space provided for that question. Record your CONCLUSIONS in the boxes provided Measuring with a ruler or other measurement device is not a valid solution method. Round all nal answers to two decimal places where appropriate. Good Luck! Criminal Capture Spiderman vs. Superman In this event, each contestant must catch a criminal on the loose. The criminal is released from the point (0,-1) and runs along the line y = 4x 1. The contestant who intersects the criminal's path at the point closest to the criminal's starting point wins the event. Spiderman Superman Spiderman intercepted the criminal by Superman intercepted the criminal swinging through the course along the by racing along the line liney=21+7. 8y+4x+80=0. Solve algebraically here OR graphically on next page CONCLUDE: Spiderman's Intersection Point Superman's Intersection Point Distance to Criminal's starting Point Distance to Criminal's starting Point Jump For Your Life Wonder Woman vs. Spiderman In this event, each contestant willjurnp as high as possible. Each superhero was given three chances. The following equations represent each contestant's highest jump, where h is the height of the jump, in metres, and r is time, in seconds. The winner of this event is the person who jumped the highest. Wonder Woman Spiderman Wonder Woman jumped along the arc Spiderman jumped along the arc h:4t'+16t. h:2t1+16t14. Solve algebraically here OR graphically on next page CONCLUDE: Bomb Blaster Superman & Wonder Woman vs. Batman & Spiderman In this event, the contestants will work together in teams of two. Each team member must deactivate as many bombs as they possibly can. The team who deactivates the highest total number of bombs is the winner. Superman & Wonder Woman Batman & Spiderman 0 Wonder Woman deactivated 13 fewer Batman deactivated two more bombs bombs than Superman deactivated. than Splderman. - The product of the number of bombs that they each destroyed is 90. The sum of the squares of the number they each deactivated is 202. Solve algebraically here OR graphically on next page Bombs Diffused by Bombs Diffused by Superman Wonder Woman Total Number of Bombs Diffused by Total Number of Bombs Diffused by Superman & Wonder Woman Batman & Spiderrnan Power Shot Superman vs. Batman In this event, each contestant attempts to hit as many targets as possible using their special powers or gadgets. Each contestant is given three chances to strike targets. Each target is worth 10 points and the target must be hit directly through the centre to count as a hit. The contestant that has the highest total number of points wins this event. Solve algebraically here UK graphically on next page Superman Batman Superman used his heat vision to burn Batman threw his batarang at the targets. through the targets. Shot #1 Shotlll y=(x4)2-5 Y =3x2 Shot #2 Shot#2 y=(x+9)'+2 53' = '1' + 2\" Shot #3 Shot #3 y = 20; _ 10)2 y = -9 Include as manypoints as will}?! an the graph, Include as many points as will r an the graph, and label each shot. and label each shot. Label each contestants throw. Superman's Points Batman's Points Shot #2 Shot #3 Shot #2 Shot #3 TOTAL POINTS: TOTAL POINTS: Break Down the Walls The Thing VS. The Hulk In this event, the contestants are placed inside a triangular enclosure made of concrete block walls. The corners of the triangular enclosure are located at A (4, 9) , B (-11, -6) and C (7, -12). Starting at one corner, each contestant must run at the opposite wall and attempt to break through it. In order to break through the wall and be declared the winner, the contestant must hit the wall in the middle, and the path that the contestant follows must be perpendicular to the wall. The contestant who breaks through the wall will win the event. Solve algebraically here OR graphically on next page The Thing The Hulk Starts from the point B (-1 1,-6). Starts from the point A (4, 9). Runs to point P (5.5, -1.5) on the Runs to the point Q (-2, -9) on the opposite wall. opposite wall. The Thing The Hulk Hits the wall in the middle? Yes / No Hits the wall in the middle? Yes / No Runs perpendicular to the wall? Yes / No Runs perpendicular to the wall? Yes / No WINNER