A circumscribed circle touches each vertex of the triangle. There are also things called the incenter and the circumcenter. The incenter is the center of the inscribed circle and the circumcenter is the center of a circumscribed circle. The relation between a circle and a triangle is that
The diagram below shows the graph of y = –x . 2 y O x (–3, k) y = –x2 The point (–3, k) lies on the graph. Find the value of k. 1 6. C B 12 cm A 1 1 In triangle ABC, AB = 12 centimetres, sin C = 2 and sin B = 3 . Find the length of side AC.
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.
a) b) c) d) 16. Which equation represents the Objective Function for the above problem? a) b) c) d) 17. Write the equation of a square root graph that has been vertically compressed by a factor of , reflected over the x-axis, translated down 2 units and right 3 units. 18.
G. TRUE or FALSE: The acceleration of a particle following a space curve lies in the normal plane. 2) Sketch the curve with the given vector equation, starting at t=0 . Indicate with an arrow the direction in which t increases. Be sure to include a few points to justify your graph. 8pts r(t) = cos t, sin t, sin
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
Unit 3 study guide A quadrilateral is a four-sided polygon. A quadrilateral is named by writing each vertex in consecutive order. A trapezoid is a quadrilateral with one and only one pair of parallel sides A parallelogram is a quadrilateral with two sets of parallel sides A quadrilateral with four right angles is known as a rectangle A quadrilateral with four rights angles and four congruent sides is known as a square A rhombus is a quadrilateral with four congruent sides and no restrictions on the angles Properties of quadrilaterals Parallelograms- A parallelogram is a quadrilateral with two pairs of parallel sides. It has all of the properties shown here: -The opposite sides are congruent. EF=HG, EH=FG -The opposite angles are
2) Perpendicular to the line x = 6; containing the point (5, 2) A) x = 2 B) y = 2 C) y = 5 D) x = 5 2) List the intercepts for the graph of the equation. 3) y = -2x A) (-2, 0) B) (-2, -2) C) (0, -2) D) (0, 0) 3) List the intercepts of the graph. 4) 4) A) (-2, 0), (0, 2), (2, 0) C) (-2, 0), (2, 0) B) (-2, 0), (0, 4), (2, 0) D) (-4, 0), (0,
Use the report pages below to record your data. Answer questions A-G found on pages 46 and 47. Name: _________________________ Lab 2 Report Data: Data Table 1: Length Measurements | Object | Length (cm) | Length (mm) | Length (m) | CD or DVD | 12.1 cm | 121 mm | .121 m | Key | 5.1 cm | 51 mm | .051 m | Spoon | 16.1 cm | 161 mm | .161 m | Fork | 18.5 cm | 185 mm | .185 m | NOTE: The instructions indicate to measure the objects to “one degree of uncertainty.” The degree of uncertainty is a property of the instrument used. All three recorded values will have the same precision. On page 29 is the explanation of uncertainty.
Example (1, 2) & (3, 4) 2. Find the slope of the line connecting these two points a. Using a table with difference of y-values vs. x-values b. Using the formula m = (y2 -y1)