please solve 3 and 4 TEN C hQuestione Each questio n s (A) (0) (C) and...
number 2 x + 3y - 9= 0 b) perpendicular on the line 3x + y + 9 = 0 2. Find the area of the triangle with vertices at the points (6, 7),(-4, 4) and (8, -7).
B (2,4) A (-2,3) C (11,2) 0 3y+ 2x+5-0 In the diagram, the points A, Band C have coordinates (-2,3), (2,4) and (11,2) respectively. D is a point such that DA is perpendicular to AB, and Dlies on the line 3y+ 2x+ 5 = 0. 141 Find the coordinates of D. Point E lies on DC and the ratio of the length of DE to the length of DCis 2:3 (i) 141 (ii) Find the area of triangle DBE. (ii)...
Please answer questions 51,52 & 53 And include all work. Thanks. 3-58, solve the system by using the elimination method. 33. 4x + 3y = 7 35. 3x-2y=1 ad 34. x 2y x+2y = 3 36, 2x-2y = 1 -2x tys3 38. y=2x-4 y=4-2x 40. 2x-5y = 7 2x + 2y = 5 42, 3x-4y = 7 - 3y3 3x y3 37, y = 3x + 5 y=5-3x 39. 3x+2y=10 41, 2x-3y = 5 3x-3y = 1 43, 3x+5y =...
please show work as well as answer Complete. Ri. Triangle ABC has vertices A(2,0), B(4,-1), and C(1,-3). Graph the figure and its image after a clockwise rotation of 180° about vertex A. Give the coordinates of the vertices for triangle A'B'C. Complete. Ri. Triangle ABC has vertices A(2,0), B(4,-1), and C(1,-3). Graph the figure and its image after a clockwise rotation of 180° about vertex A. Give the coordinates of the vertices for triangle A'B'C.
Function f(x, y) 2x2-3x +5y - y2 is going to be represented by T3 basis functions over AABC. Calculate the values of the degrees of freedom Ci in the linear combination that represents f(x,y): f(x, y)- CiN(x, y) T3 finite element is defined over ΔABC (in physical coordinates). The vertices of this triangle have the following coordinates: A(-2,-1), B(3,2), and C(0, 6) Problem 1 Function f(x, y) 2x2-3x +5y - y2 is going to be represented by T3 basis functions...
need help with 24. 2TX 2TX 27 27 9 - 18. 27x* = 81x 27X -81XO 27x0 X-3- --ix -37x 27(x-3) = X 10. What type of solutions does the following equation have? Do not solve the equation 3x +10x - 40 62-42C - Y TOD 48 3702-400 F 149 20. - *. = 2 + 12. 3x(x-4)=2x-y + 3x2-76 =24 3x2-12 = 2 X -8+2 " 3x² - 12 = 2x + 4 Part III : Answer each of...
Solve by Linear Programming. (Be sure to show the graph of the feasible region, the appropriate vertices, optimal value, AND SHOW ALL WORK!.) Exercise 1 LP 1. Maximize: C = x – y Constraints: x ≥ 0, and y ≥ 0 x + 3y ≤ 120 3x + y ≤ 120 Exercise 2 LP 2. Maximize: C = 3x + 4y Constraints: x + y ≤ 10 – x + y ≤ 5 2x + 4y ≤ 32
1. Compute the following integrals: 9 (a) S (x+y+2)dA where T C R2 is the triangle with vertices (-1,-1), (0, 2) and (1,1) (b) Sp (3x + 6y)<dA where D is the quadrilateral with vertices (0,1), (2,0), (0, -1) and (-2,0) 2 9
#47 51. 52. 39. Vertices: (+1, 0); asymptotes: y = 5x 40. Vertices: (0, 3); asymptotes: y = 3x Finding the Standard Equation of a Hyperbola In Exercises 39-48, find the standard form of the equation of the hyperbola with the given characteristics. 41. Foci: (0, +8); asymptotes: y = +4x 42. Foci: (+10,0); asymptotes: y = +x 43. Vertices: (1, 2), (3, 2); asymptotes: y = x, y = 4 - x 44. Vertices: (3,0), (3, 6); asymptotes: y...
The result of transforming the equation r2 = 8 rcos( 0) + 3 rsin( e) from polar to rectangular coordinates is: A. 2 2 = 8x + 3y Yx +y B. 2 X +y = 3x + 8y C. Vz? + y2 = 11 D. none of the preceding E. 2 x + y = 8x + 3y