<p>If a^2-2ab+b^2= ab then which of the following is equivalent to a^2+b^2?</p>
<p>A -3ab
B ab
C 0
D -ab
E -3ab</p>
<p>Sorry A is 3ab</p>
<p>the answer is in the equation. all you have to do is movethe -2ab from the left side to the right side and it will be a^2+b^2 = ab+2ab = 3ab. A is the correct answer</p>
<p>ht<em>tp://i43.tiny</em>pic.com/34p*bati.jpg (without the asterisks)</p>
<p>In the figure above, lines k, l, and m are parallel. If
y = 125, what is the value of x + z ?
(A) 90
(B) 95
(C) 100
(D) 105
(E) 110</p>
<p>[<em>X</em>] [] [<em>] [</em>X]</p>
<p>The figure above represents four offices that will be
assigned randomly to four employees, one employee
per office. If Karen and Tina are two of the four
employees, what is the probability that each will be
assigned an office indicated with an X ?
(A) 1/16
(B) 1/12
(C) 1/6
(D) 1/4
(E) 1/2</p>
<p>let X be Tina and Karen and O be not-Tina and not Karen.
these are the options
X X O O
X O X O
X O O X
O O X X
O X O X
O X X O</p>
<p>the answer is 1/6 - C</p>
<p>Here’s another way…</p>
<p>Pick either one of Tina or Karen and assign her an office at random. The probability of her getting an end office is 2 out of 4 or 1/2. At that point, 3 offices remain and only 1 of the 3 is an end office, so the probability of getting that one is 1/3.</p>
<p>So the probability of the two events in succession is 1/2 times 1/3 = 1/6.</p>