# Tutor profile: Brittany M.

## Questions

### Subject: Geometry

two legs of a right triangle are 6 and 8. Find the length of the hypotenuse.

You will use pythagorean theorem. a^2+b^2=c^2. plug in the legs of the triangle for a and b. c will be the hypotenuse 6^2+8^2=c^2 square the numbers on the left and add. 36+64=c^2 100=c^2 square root to get c 10=c

### Subject: Basic Math

Long divide: 69/4

1. set up the long division with the first number on the inside of the box. 2. See how many times the outside number will multiply into the first digit. Write that number above the first number. 3. Take that number you found, multiply by the outside number, and write it underneath the first digit. 4. Subtract that number from the first digit and bring down the remaining digits next to that number. 5. repeat the process until the number left is smaller than the outside number. that number is the remainder

### Subject: Algebra

Factor x^2-15x+54

1. you need to find 2 numbers that will add to the second term (-15) and multiply to the last term (+54). Do this by finding multiples of the last term and see which numbers add/subtract to the second term. Be sure to that the signs of the numbers you choose will fit the numbers. 2. Once you find these numbers you will set up the expression for your answer with two sets of parentheses and x. In this case the two numbers will be -6 and -9. Final answer: (x-6)(x-9)

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