Hey can you please help me answer 7-11. Can you write on paper with steps. Also, can i include more questions to ask you at once?

7. Simplify. Rationalize denominators where needed. Solve the following equations. Show all work and verify any potential solution(3). Based on your (1 mark) verifications, stare the type of root (real or extraneous) in each case. Round your answers to the nearest hundredth when necessary. Vox -5 -9 ( 2 marks) 3 /2 5 (2 marks) b. Vzx +6= 15x -3 (2 marks) 4 1/5x V25x 150 (3 marks) c. 5+2v3x-2 -4 (2 marks) Consider the expressions v2x-a and va - 2x , where a is a positive integer. State and explain the restrictions on the variable x, in each expression. (2 marks) Page 5 of 6 VVS: 20-1 A2 Summer 22 Page 6 of 6 VVS: 20-1 A2 Summer d v5+2x +2x =5 (3 marks) 11. An object on the end of a spring vibrates back and forth with simple harmonic motion. The period of vibration of the object, T, measured in seconds, can be represented by T - 2x , where m represents the mass of the vibrating object in kilograms kg &represents the spring constant in N / m Mrs. Cole decides to try bungee jumping. Her position while bungee jumping displays simp harmonic motion. If the period of vibration of her motion is 2.8 s and her mass is 64 kg, determine the spring constant of the bungee cord, rounded to the nearest N / m. (2 marks) 10. The kinetic energy E, in joules J , of a moving object can be expressed as E, = = my , where m is the mass in kilograms kg , and v is the speed at which the object is moving in metres per second m/s . If the kinetic energy of a 2.5 kg object is 1150 J , determine the speed of the object to the nearest tenth of a m/ s . (2 marks)