TAILIEUCHUNG - SAT II Math Episode 1 Part 8

Tham khảo tài liệu 'sat ii math episode 1 part 8', ngoại ngữ, ngữ pháp tiếng anh phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Math Practice Exercises and Solutions by Topic 135 2. The correct answer is 2 -1 . Solve the two equations simultaneously. y x-3 y 2x 5 2x - 5 X - 3 X 2 y 2-3 -1 3. The correct answer is y x 1 . Slope of line 5-1 4 TH -7-- 1 4-0 4 2zl i x-0 y-1 x y x l 4. The correct answer is 3 5 . Let xy be the coordinates of the midpoint. l 5 3 2 8 5 Coordinates are 3 5 . 5. The correct answer . 25 is IT The diameter of the semicircle is the hypotenuse of a 6-8-10 triangle. Radius of the semicircle is 5. . 1__2 _ 1 _ 2 _ Area 7tr 7F 5 2 2 v 2 6. The correct answer is 0 -3 2 . Let OQ OP x. x2 x2 62 2x2 36 X2 18 X VĨ8 3a 2 Coordinates of Q are 0 -3a 2 ARCO SAT II Math arco 136 Part IV 7. The correct answer is QI QIII . Since xy is positive x and y must be both positive or both negative. Thus the graph is in quadrants I and III. 8. The correct answer is 3x - 2y 8 2y -3x 8 y x-4 2 3 slope 9. The correct answer is x 1 . y f x 2x - x2 Let y 2x-x2 0 x 2 - x 0 X 0 X 2 x-intercepts The axis of symmetry is a vertical line halfway between x 0 and x 2. Its equation is x 1. 10. The correct answer is 3 . Slope tangent of angle of inclination 1 a 3 a 3 tan30 U V3 V3 3 11. The correct answer is 0 . The line y x lies in QI and QIII. The curve xy -6 lies in QII and QIV. There are no intersections. 12. The correct answer is 1 -5 . Find the x-intercepts of the parabola. Let x2 - 2x - 4 0. 2 a 4 16 2 5 20 X ---- ------- ----r-- 2 2 2 The axis of symmetry is a vertical line midway between the two intercepts. Its equation is x 1. Substitute in the original equation y X2 - 2x - 4 y l-2-4 -5 Turning point is 1 -5 . arco ARCO SAT II Math Math Practice Exercises and Solutions by Topic 137 13. The correct answer is D . x2 ý2 3 or x2 -ý2 3 which is a hyperbola. 14. The correct answer is I 2 I. Find slope of 2x 3ý 5. Solve for ý. 2 5 .2 y 27- Slopeis- 3 3 3 . 23 Slope of perpendicular line is negative reciprocal of 3 or 2 15. The correct answer is 14 . Box .

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