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Use DESMOS and your calculator to help with these questions. Draw a diagram to help if required and make sure you answer to the stated number of decimal places. If the question does not state the number of decimal places, then the answer will be a whole number. A rectangle has a width of x cm and a length of x+4 cm. The area of the rectangle is 52.25 cm. Using this information, create a quadratic equation and solve it to find the value of x correct to 1 decimal place. Hint: draw a diagram and use the Quadratic Formula x = cm Find the value of x Hint: use Pythagoras' Theorem to create a quadratic equation and then solve for x. x = ± √ 2x x 4-x What is the ball's maximum height? A golf ball is hit and its path follows a parabolic path h = -x2 +8x until it hits the ground. Where h is the height of the ball in metres and x is the time in seconds How many seconds does it take for the ball to reach its maximum height? metres seconds A diver dives from a high diving board and follows a path given by the equation h = -2x2+5x+6 until she enters the water. h is the height of the diver in metres and x is the horizontal distance of the diver from the diving board. When the diver hits the water, what is her horizontal distance from the diving board to 2 decimal places? What was the diver's initial height? What is the maximum height that the diver reaches to 2 decimal places? m m m A diver dives from a high diving board and follows a path given by the equation h = -2x2+5x+6 until she enters the water. h is the height of the diver in metres and x is the horizontal distance of the diver from the diving board. When the diver hits the water, what is her horizontal distance from the diving board to 2 decimal places? What was the diver's initial height? What is the maximum height that the diver reaches to 2 decimal places? m m m |