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SAT II Math Episode 2 Part 2

Tham khảo tài liệu 'sat ii math episode 2 part 2', ngoại ngữ, ngữ pháp tiếng anh phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Mathematics Tests 195 4. The correct answer is A . 5 ĩĩx 5 5y 2 u 5 5y -5 ĩĩx 2 -5 ĩĩ . 2 y 4 slope m III T The slope of a line perpendicular to m j has a slope of J-w.674. This is the negative reciprocal of 5. The correct answer is D . fix 3x - 5 g x X2 1 g x 3 g x -5 3 x2 l -5 3x2 3-5 3x2-2 6. The correct answer is E . When r 60 x 10 5 When r 45 x l 0 5 2 55 2 If 60 r 45 5 X 55 2 ARCO SAT II Math www.petersons.com arco 196 Part V 7. The correct answer is B . The locus of points at distance d from one plane consists of two planes parallel to the given plane and distance d from it. The locus of points at distance e from the second plane consists of two planes parallel to the second plane and at distance e from it. Since the two original planes are perpendicular to each other the first pair of planes is perpendicular to the second pair of planes resulting in 4 lines of intersection. 8. The correct answer is D . The graph of y -2x 3 has a slope of -2 and a y-intercept of 3. By setting y 0 we see that the x-intercept is 1 . Thus the graph lies in quadrants I II and IV only. 9. The correct answer is D . x2 x2 .78 2 .78 X 7 V2 Perimeter of square 4x 78 A 4 2.206 www.petersons.com arco ARCO SAT II Math Mathematics Tests 197 10. The correct answer is C . Let x and y be two odd integers and represent x 2a 1 and y 2b 1. Where a and b are any integers x y 2a 2b 2 a b 1 an even number x-y 2a l - 2b l 2 a-b an even number x-y 2a l 2b l 4ab 2a 2b l 2 2ab a b l an even number 1 an odd number X need not be an integer at all. There is closure of the odd integers only under multiplication. 11. The correct answer is E . If 2x 3 0 2x 3 - 2x 3 2x 3 9 -2x-3 9 -2x 12 X -6 3 If 2x 3 0 2x -3 and x - Therefore the solution set is represented by __ 3 -6 X 2 . 1 12. The correct answer is B . Rationalize the denominator of - 1__ 6 2-75 _ 6 2V5 6-275 6 2 5 _ 62- 2V5 2 _ 6 25 5 _ 6 2V5 _ 36-20 - 16 2 3 75 3 7s 16 8 13. The correct answer is C . If the roots of 9x2 - 4Kx 4 0 are equal the .