MATH 1111 St Cloud Technical College Algebra Pythagorean Theorem Exercises

1)Explain why a number(s) must be excluded from the domain of a rational expression and how to determine which numbers must be excluded. **You will need to provide a worked out example with your explanation**.**The answer must be explained in detail using the correct vocabulary to receive full credit.**

**2)****Pythagorean Theorem.. **A rectangular park is 8 miles long and 6 miles wide. How long is a pedestrian route that runs diagonally across the park?**In this discussion, you will need to provide the solution to the problem explaining the intermediate steps you used in the process.**

**3)Modeling with Equations.. **You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be before you and your sister have the same amount of money? What amount would you have the same?**You must include the equation and the intermediate steps used to arrive at the answer.**

**4)****Slope-Intercept Form.. **A formula in the form **y = mx + b** models the value, y, of a new car x years after the initial purchase in 2017. Would you expect m to positive, negative, or zero? **The answer must be explained in detail using the correct vocabulary to receive full credit.**

**5)Systems of Equations.. **Tom and Jerry are selling fruit for a charity fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Tom sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Jerry sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges. **Students must use equations to solve the problem. ****You must include the equations and the intermediate steps used to arrive at the answers.**