2008 Part B

Part B:

11) A line and a parabola intersect at points A and C. Their equations are:

5x – 4y + 48 = 0 and y = 0.25x² – 7x + 41

12) What is the result of (6x³y³ – 11x²y² + 18xy – 5) ÷ (3xy – 1)

13) In the Cartesian plane, function f is a straight line that passes through A(0, 9) and B( t, – 90).
This line is parallel to another line whose rule is g(x) = 3x – 16

14) The rule of function g is g(x) = p x² + r x – 36, where p and r are not equal to zero.

15) Triangle PQR has these characteristics:

16) In quadrilateral ABCD, line segments TU and VW intersect at S.

Step 1 Quadrilateral AVST Quadrilateral CWSU Given
Step 2
.
Because . . .
Step 3 AB // DC
AD // BC
Because . . .
Step 4 ABCD is a parallelogram Because the opposite sides of a parallelogram are parallel.

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