Question

2. Alia is thinking of two numbers that she wants her friend Chantel to guess. She tells Chantel that if the two numbers are subtracted, they will have a difference of 7. She also says that if you add the square of the two numbers it will equal 29. What are the two numbers? 3. Sandy is playing golf. Her first tee shot lands 140 metres away. During the golf ball's flight, the ball peaks at a height of 90 metres. The ball flies over a 38 metre tall tree that is located 20 metres from the tee-off point. By how much distance does the ball clear the tree? (Answer to the nearest centimetre)

Answer 1

Explanation:

'Simon and his sister are playing = guessing game. Simon tells his sister that he is thinking of two positive numbers_ The first number minus the second number is 15. The square of the first number minus 20 times the second number is equal to 300. a. Write a system of one linear and one quadratic equation to represent the two numbers. Be sure to define your variables. b. Solve the system of equations. What are the two numbers that Simon is thinking of? Explain your reasoning'