Lesson 10
- 1. 10.notebook September 18, 2012 Objectives: Equation of a line, rational denominators, completing the square 1
- 2. 10.notebook September 18, 2012 Horizontal Line m = equation: Vertical Line m = equation: 1. Find the slopeintercept form of the equation of the line that passes through points (3, 2) and (4, 3). 2
- 3. 10.notebook September 18, 2012 2. Find the equation of the line that passes through (2, 5) and is perpendicular to the line 3y = 4x + 2. 3
- 4. 10.notebook September 18, 2012 3. Find the equations of lines (a) and (b). (b) (a) 4
- 5. 10.notebook September 18, 2012 Rational Numbers a number that can be written as a fraction or a decimal that ends or repeats Examples: 4 4 1 13 111 1 2 4 3 99 6.4 0.0021 122 4.1632 8.3 0.0 Irrational Numbers decimals that never end or repeat Examples: π e √142 ∛13 ∜65 5
- 6. 10.notebook September 18, 2012 Rationalize the Denominator 4. Simplify: 4 + √3 2 3√3 6
- 7. 10.notebook September 18, 2012 3 5 5. Simplify: 2 i + 2i 2i + 4 7
- 8. 10.notebook September 18, 2012 Completing the Square x2 + 6x + 9 = x2 10x + 25= (x + 3)2 (x 5)2 1 2 x x + = 4 x2 + 4x + 4 = 1 2 (x ) 2 5 25 (x + )2 2 5 8
- 9. 10.notebook September 18, 2012 6. Solve x + 3x2 = 5 by completing the square. 9