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name: Mathematics 098 fourth homework due Thursday, March 1, 2012 9. Solve each of the following equations: (the first and fourth equations contain an absolute value !) (a) |x| = 4 (b) √ x2 = 4 √ 2 (c) ( x) = 4 (d) |x| = −4 (e) √ x = −4 10. Given the two points A(5, 2) and B(−1, 6) (a) calculate the coordinates of the midpoint M of the line segment from A to B. (b) find an equation for the line containing the midpoint M which is perpendicular to the line segment AB. 11. Solve: √ 2 x = 15 − x 12. Simplify the complex fraction: 2 x2 − y22 x−y