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1. Solve the following system of equations:

1. Solve the following system of equations:. 5 marks. Students. f. m. 1980. 2000. Year.

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1. Solve the following system of equations:

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  1. 1. Solve the following system of equations: 5 marks

  2. Students f m 1980 2000 Year In 1980, the student population of a CEGEP was 220 girls and 570 guys. Over the next 20 years, the number of girls increased steadily to 480. The population of guys followed a quadratic relationship and reached their maximum of 810 students. If these tendency continues, how many female students will there be when there are as many girls as guys? What year should this happen? 10 marks

  3. A) C) B) D) 3. Two functions are described below. 5 marks f(x) = bwhere b < 0 g(x) = ax2 + cwhere a > 0 and c = - b. Which of the following graphs represents the function operation, g – f?

  4. h D) C) g B) A) 5 marks • Functions g and h are represented graphically to the right. • Identify the graph below that corresponds to g • h.

  5. B(5, 6) C(4, -2) A(-8, -5) • The points A (-8, -5); B (5, 6) and C (4, -2) determine the vertices of triangle ABC. • Express the equation of the median from point A. 5 marks

  6. A (-3, 4) B (3, 2) D (-1, -2) C (5, -4) C (4, 7) B (-4, 5) A (-8, -3) D (-2, -5) 6. Find the area of the rhombus illustrated in the diagram. Round your answer to the nearest whole number. 10 marks 7. The vertices of a quadrilateral are as follows: A (-8, -3), B (-4, 5), C (4, 7) and D (-2, -5). Prove that this quadrilateral is a trapezoid. 10 marks

  7. HYPOTHESIS: CONCLUSION: 8. Complete the demonstration of following proposition using geometric analysis. 5 marks THE MEDIANS TO THE CONGRUENT SIDES OF AN ISOSCELES TRIANGLE ARE ALSO CONGRUENT. y B (a,c) D E x A (0,0) C (2a,0) STATEMENTS JUSTIFICATIONS 1. The coordinates of D and E are: 1. Midpoint Formula:

  8. C B CONCLUSION: O A D STATEMENTS JUSTIFICATIONS 9. Complete the demonstration of following proposition: 5 marks THE DIAGONALS OF A PARALLELOGRAM INTERSECT AT THEIR MIDPOINTS. HYPOTHESIS:

  9. B C 40° A D E • ΔABD and ΔECD are similar and the ratios of their areas is 0.36. • The measure of angle A is 40° and segment BC measures 4 cm. Determine the perimeter of ΔABD. 10 marks

  10. E F B D G A C • ΔABC is equivalent to trapezoid DEFG. • The base of the triangle measures 20 cm more than its height. • In the trapezoid, the short base is two-thirds of the height. The length of the long base is equal to the sum of the lengths of the short base and the height. The sum of the two bases and the height of the trapezoid is 160 cm. • Determine the measures of the base and height of the triangle. 10 marks

  11. 3 cm 9 cm • Two cylindrical blocks of cheese are similar. The wrapping of one that has a diameter of 9 cm is 2.25 times more than the wrapping of the other that has a height of 3 cm. What is the difference between the volumes to the nearest tenth of a cubic centimeter between the two cheese portions? 10 marks

  12. 70° 2.4 m • A funnel is used to fill cubic boxes with fuel for an expedition. Their capacities are equivalent to each other. • The slant height of the cone is 2.4 meters and it forms a 70° with the radius of the base of the cone. What is the measure, to the nearest tenth, of the side of the box? 10 marks

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