G. Compare the values of the measured angles with the average computed values and determine their difference. 2. Determination of the sides of a right triangle when the hypotenuse and one angle are measured: A. Create a new triangle by taping the bottom of the string to a different position on the floor or table, as in Procedure 1. B.
To determine the equation. Where does the equation come from? The graph of a straight line. Equation: y=mx+b Y is the variable we plotted on the y axis. M is the slope.
Running head: Summative Assessment Summative Assessment Terry W. Jones SED 544 Secondary Curriculum Development & Assessment Grand Canyon University LeeAnn Ritchie May 12, 2011 What’s the Point? M8G1. Students will understand and apply the properties of parallel and perpendicular lines. a. Investigate characteristics of parallel and perpendicular lines both algebraically and geometrically.
(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.
* Explain what a radian measure represents using the unit circle as a reference. Pie is represented by a real number constant and is the ratio of the circumference of a circle to its diameter. Its value is approximately 3.14159. Since the circumference of the unit circle is 2 Pie, it is implied that the radian measure of an angle of one revolution is also 2 Pie. So the radian is the measure of how close a degree is to a complete circle.
B. C. D. 80° 100° 180° 200° and ? MA.912.G.2.2 4. What regular polygon has an exterior angle that measures 60 degrees? A. B. C. D. Square Regular hexagon Regular pentagon Equilateral triangle MA.912.G.
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. Draw a neat sketch of the graph of each equation. a y = 4x2 − 12x + 9 b y = 3x2 − 14x − 5 27 Sketch each of the following exponential curves: a y = 3x b y = −6−x 28 In each of the following statements, decide which variable is independent and which variable is dependent: a the amount of fuel used by a car varies with the distance travelled b the diameter of a balloon decreases as the air leaks out c the more people that attend the dinner show, the cheaper the cost of a ticket d the warmer the air in a hot-air balloon, the higher it will go 29 Match each of these equations with one of the graphs below. a x = 2x2 − 2 e x+y=1 i y = 2x2
Solve the given linear system using Cramer’s rule. 5x –9y= –13–2x+3y=5 Complete the following steps to solve the problem: a. Begin by finding the first determinant D: D= (5*3) - (-2*-9) = 15 - 18 = -3 b. Next, find Dx the determinant in the numerator for x: Dx= (-13*3) - (5*-9) = -39 + 45 = 6 c. Find Dy the determinant in the numerator for y: Dy = (5*5) - (-2*-13) = 25 - 26 = -1 d. Now you can find your answers: X = DxD = 6-3 = -2 Y = DyD = 1-3 = -13 So, x,y=( -2 , -13 ) Short Answer: 4. You have learned how to solve linear systems using the Gaussian elimination method and the Cramer’s rule method.
5 .For part III, Average was needed to be found after Find the Mass/A of each all 5 disk. To do that Add all the values in Table 3 and divide them by 5. 6 .For Part III, Percent difference between the average value and the slope of the derivative diameter graph was found by doing this: ((slope of the derivative vs. diameter graph- average)/slope of derivative vs. diameter graph)*100 =67.9% VII. Analysis Questions/Answers 1. The Slope in Part I represents π 2.