(4) [7] QUESTION 4 a + q. The point A(2 ; 3) is the point of intersection of the asymptotes of f. x− p The graph of f intersects the x-axis at (1 ; 0). D is the y-intercept of f. Given f ( x) = y f A(2 ; 3) f D (1 ; 0) x 0 4.1 Write down the equations of the asymptotes of f. (2) 4.2 Determine an equation of f. (3) 4.3 Write down the coordinates of D. (2) 4.4 Write down an equation of g if g is the straight line joining A and D. (3) 4.5 Write down the coordinates of the other point of intersection of f and g. (4) [14] Copyright reserved Please turn over Mathematics/P1 5 NSC DBE/November 2010 QUESTION 5 Consider the function f ( x) = 4 − x − 2 . 5.1 Calculate the coordinates of the intercepts of f with the axes. (4) 5.2 Write down the equation of the asymptote of f. (1) 5.3 Sketch the graph of f on DIAGRAM SHEET 1.
Using the Pythagorean Theorem, solve for the missing sides. ____________10) ___________ 11) Find the value of x and y in each special right triangle. Give final answers in most simplified form. 12) x = _____y = _______ 13) x = ______y = ______ 14) x = _____y = _______ REGULAR POLYGONS 15) Given a hexagon with apothem length of [pic]cm. Determine the following.
Begin by writing the corresponding linear equations, and then use back-substitution to solve your variables. 10–1301–8001 159–1 = x-13z=15y-8z=9z=-1 = x-13(-1)=15y-8(-1)=9z=-1 = x=2y=1z=-1 x,y,z=(2 , 1 , -1) Determinants and Cramer’s Rule: 2. Find the determinant of the given matrix. 8–2–12 = 8*2 - (-1)(-2) = 16 - 2 = 14 3. Solve the given linear system using Cramer’s rule.
QUESTIONS 1. Make an observation – Based on the data in Table 4, discuss what patterns you observe in regards to dissolved oxygen content and fish populations in the body of water? Answer = By my observation the pattern goes by minus 1 twice, then minus 2 twice, then plus 3 twice, then minus 4 twice, then minus 5, so the pattern is 1,2,3,4,5, and so on. 2. Do background research – Utilizing at least one scholarly source, describe how the dissolved oxygen content in a body of water can effect fish populations.
The inches value shall be converted into decimal division. C = 4d -1/3b C= 4(23,245)-1/3 *(13.5) I plug in the given variables using the order of operations, the exponents will be solved first. C= 4(.035)*(13.5) – Multiply C= .14(13.5) Simplify C= 1.89 – the capsize value is less than 2 b) Solving for D in order to solve this equation I will be using the same formula that was given in the previous problem. C = 4d -1/3b 4d -1/3 b = c c Flipping equation so d is on the left. 4d -1/3 b = c 4d - 13 b = c Divide both sides by 4 and b.
The average of BPM in 23OC water calculated out to be 49. Next we put the goldfish in the 27OC water and recorded the breaths per minute again. The new outcome of numbers was 161, 163, and 129. The average breath per minute of the goldfish in 27OC water was 151. We finally recorded the goldfish’s BPM in the 10OC beaker of water.
y x Question 12 The diagram shows the graph of the curve y = ( x + k )(2 − x) , where k is a constant. The curve meets the y axis at A and the x axis at B and C as shown. (a) Write down the coordinates of B and find the value of k. (b) Find the coordinates of A. (c) Write down
(0, 4) | b. (4, 0) | c.(4, -2) | d.(4, 4) | Please respond to the question above. | 3. Write in standard form the equation of the line that passes through the point (3,-6) and is perpendicular to the line that passes through the points (1,3) and (6,-7). : * | a.y + 6 = 1/2(x - 3) | b.2x - y = 12 | c.-1/2x + y = -7.5 | d.x – 2y = 15 | Please respond to the question above.
ii Find the coordinates of the vertex. a y = x2 + 3 b y = x2 − 2 d y = −x2 + 1 -e y = 1 x2 + 4 2 c y = 2 − x2 f y = −2x2 − 5 Ex 11-07 Ex 11-02 21 Explain how the graph of y = x2 + 3 could be obtained from the graph of y = x2. 22 Write a brief description of the journey that this distance–time graph might represent. d 0 Ex 11-08 t 23 Draw the graph of the parabola y = x2 − 5x − 14 by first finding the x-intercepts and y-intercept. 24 For the parabola with the equations below, find: i the equation of the axis of symmetry ii the coordinates of the vertex a y = x2 + 3x + 2 b y = 3x − 2x2 c y = 10 − x2 b y = 5x − 2x2 d y = 2x2 − 5x + 2 25 Sketch each of the following: a y = 3x2 − x − 4 Ex 11-09 Ex 11-09 Ex 11-09 26 For each of the parabolas find: i the coordinates of the vertex ii the x-intercepts iii the y-intercept.
The body: I. Gear A. Rods – The typical salmon and steelhead rod is anywhere between 9 and 11 feet. They come in all different levels of sensitivity and they cost anywhere from $60 to $500. The rod that I have brought in is a G-loomas 10’6 Steelhead Special it