3(x 1 1)(x 2 4) 15. 3(3x 2 1)(3x 1 1) 16. 4(2x 1 1)(x 2 3) 17. 2(2x 1 3)(2x 1 3) 18. 5(3x 1 2)(2x 2 1) 3 1 1 1 2 } } } } } 19.
[2] iii) Find the equation of the circle. [2] iv) The line y + 5x = 8 cuts the circle at A and again at a second point D. Calculate the coordinates of D. [4] v) Prove that the line AB is perpendicular to the line CD. [3] 5. Find the angle ( and the length x in the triangle shown below. [7] 6.
Translate into symbols: 5 plus the quantity of 6 minus m. a. (5 + 6) – m b. 5 + 6 – m c. 5 + (6 – m) 9. Translate into symbols: The difference of 5 squared and a. a. 52 + a b.
SciTronics had $ 75,000 of owners’ equity and earned $ 14,000 after taxes in 2008. Its return on equity was 18.67% an improvement from the 8.2% earned in 2005. Activity Ratios: How well does the company employ its assets? 1. Total asset turnover for SciTronics in 2008 can be calculated by dividing $ 244,000 into $ 159,000.
5. Find the midpoint of a segment with endpoints A(-8, 5) and B(-2, 7). uuur 6. AB bisects ∠CAD . Find the value of x.
2 4. (a) Factorise x2 + x – 6. 2 (b) Multiply out the brackets and collect like terms. (3x + 2)( x2 + 5x – 1) 3 [ X100/201] Page four Marks 5. The diagram below shows the graph of y = –x .
Then use the multiplication principle and then use the elimination method: 3x=8y+11 x+6y-8=0 9. A vending machine contains nickels and dimes worth $14.50. There are 95 more nickels than dimes. How many nickels and how many dimes are there? 10.
Adding the two cases above, we arrive at the answer: un = un−1 + un−2 . (c): Use either (a) or (b) to determine the number of bit strings of length 7 that do not contain two consecutive zeros. SOLUTION: We note directly that u1 = 2 and u2 = 3. Then u3 = 2 + 3 = 5, u4 = 3 + 5 = 8, u5 = 5 + 8 = 13, u6 = 8 + 13 = 21, and u7 = 13 + 21 = 34. Problem 3.
In this figure <1 and <8 are alternate exterior angles, as are <2 and <7. Same-side interior angles are in between the two lines that are not the transversal and are on the same side of the transversal. In this figure <3 and <5 are same-side interior angles, as are <4 and <6. Polygon interior angle sum formula S=180 (n-2) ( polygon= 180 (number of sides -2) S=180 (4-2) =
Then, subtract 4 from 7. h4=3 3 When subtracting 4 from 7 the answer is 3. h4=3 3 Cancel out the common factors of 3 from the expression. h4=1 The final answer is 1. Simplifying the f function = f4=2(4)+5 Replace the variable x within the expression f4=2•4+5 Remove the parenthesis and multiply 2 by