Download fourth homework

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