# Tutor profile: Marvin L.

## Questions

### Subject: Trigonometry

Solve sin(x) + 2 = 3 over the interval 0° ≤ x < 360°

Work: sin(x) + 2 = 3 (Using Addition Property of Equality) sin(x) = 1 Looking at the reference angle and the interval given, in degrees, the answer is: x = 90°

### Subject: Pre-Algebra

Simplify the expression below: (24 - 12) + (3 x 7 - 42 x 0.5)

Solution: Following the rule of PEMDAS, (24 - 12) + (21 - 21) 12 + 0 0 Therefore, the answer is 0.

### Subject: Algebra

The sum of two numbers is 8 while the product of these numbers is 12. What is the positive difference of these numbers?

Work: Let x be the first number and y be the second number. Representation: The sum: x + y = 8 The product: xy = 12 Since xy is equal to 12, then y = 12/x Using substitution, x + y = 8 becomes x + 12/x = 8 Solving, x (x + 12/x = 8) x^2 + 12 = 8x x^2 - 8x + 12 = 0 (x - 6)(x -2) =0 x = 6 and x = 2 Getting the positive difference of these numbers 6 - 2 = 4 Therefore, the positive difference of these numbers is 4.

## Contact tutor

needs and Marvin will reply soon.