Justify all your correct answer by explaining the reason/solution of your choice ASAP

22. What is the standard form of the equation x2 - 36y2 - 20x + 64 = 0 ? 9 erin mala gill al in a.- (x-10)2 36 y?=1 C. (x - 10) 2 - 14 1 (x-9)2 (y+4) 2 ( x 9)7 (y+4)2 4 9 -= 1 xsi- d 4 23. Which of the following hyperbolas has a graph that opens upward and downward? y/ 2 be- d aIs. a.- ( x - 8 ) 20 '36 = 1 C. 144 4 b (x-4)2 yz = 1 OAS . d S 81 16 co(Ey64 x) to nolensqxe srbi ni hex to inoibillsoo andi ai fe 24. Which of the following can be an equation of the asymptotes of the hyperbola defined by d (x-1)2 (y-2)2 - = 1? 16 4 a. y - 2x + 3 C. y = 2x + a(20 - 1)(20 4 1) NIW paivlo2 w by= =x+s d. = =x +9 s , segille ns , elmvia s alneeergo noisups newip effi i eningete( noitsupe nevip erdi vilamia (ross ain 25. What is length of the transverse axis of the graph Dredgeplo art bris slochegyn s 10 9 16 a. 1 unit b. 2 units c. 4 units d. 6 units as = $( 1 - ()+ (e 26. Evaluate: En=1(2n - 1) a. 24 b. 30 C. 36 d. 42 27. Which of the following sigma notations defines the series - = + 1 + 2 + 4 + 12 + 7? a. En=l ("? ) b. En=o() C. En=2("- 3) d. En=o() 28. Evaluate En=3(-2n2)" a. -24 b. -4 c. 18 d. 36 29. Which of the following is the sum of the infinite series . 2n=1(Ton) a . WIN b. 0.333 C. 0.0333 d. 3 30. What is $10 of the series 3 + 9 + 27 + 81 + .... a.59 049 b. 64 552 C. 88 572 d. 89 753 31. Which of the following is a solution to this system of nonlinear equations -y2 - 36x + 2y - 37 = 0 3x+y = 1 a. (2,7) b. (0,3) C. (7,2) d. (4, -4) 32. Which of the following systems of nonlinear equations has no solution ? a.-2y2 + x - 41 = 0 c.-y2 - 36x + 2y - 37 = 0 x - 2y - 1 =0 3x ty = 1 b. . y2 - x + 8y+ 14 = 0 d. -2x2 - 15x + 5y + 47 = 0 x - 2y- 1 = 0 :zixs 9:- 3x ty - 2 = 0 33. Which of the following is a solution to this system of nonlinear equations x2 + 2y2 = 12 xty =0 a. (2,2) b. (2,-2) c. (2,-2), (-2,2) d. (2,2), (-2,-2) 34. Solve the system of nonlinear equations for x only x2 + y2 - 11x -y + 26 =0 max + y - 3 = 0 a. {4,7} b. {4} C. {7,10} d. {7} 35. Solve the system: x2 + y2 - 15x + 3y - 32 = 0 X=y a. (8,8), (-2,-2) b. (-2,-2), (-2,-5) C. (8,8) d. no solution36. What is the 5th term in the expansion of (2y + 1)? (x nollsups off to mol braungia off a a. By3 b. 84y2 you ( C. 280y3 d. 560y4 37. What is the 3'd term in the expansion of (x3 - 2y) 6? a.-160x9y3 b. -12x15y | c. 59x12 24 d. 60x1212 38. What is the coefficient of the 4th term in the expansion (2) -3x) 4? OD OnS DISw Ebri eclochegyd priwollot ord to doinW ES a. -216 b. -96 c. 81 d. 216 39. Wat is the coefficient of x8 y in the expansion of (x4 + 2y2)6? a. 192 b. 240 C. 256 (Id. 320 (S+ V) "( A-X) .b .d 40. What is the coefficient of xy15 in the expansion of (x - 23)6? of 18 a.-256 b. -192 mob slocaugh ers to saidlong as ent to nollsups need riso pniwollot on to noinWAS