Assignment:
Q1) If the sides of a square are lengthened by 5cm, the area becomes 81cm^2. Find the length of a side of the original square.
Q2) Use rational exponents to write x^1/8*y^1/3*z^1/6 as a single radical expression.
Q3) Divide (35b^3+18b^2+27b+35)/(5b+4)
Q4) Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in the standard form, ax^2+bx+c=0.
Q5) Jack usually mows his lawn in 7 hours. Marilyn can mow the same yard in 4 hours. How much time would it take for them to mow the lawn together?
Q6) If a pro basketball player has a vertical leap of about 20 inches, what is his hang time? Use the hangtime function V =48 T^2 His hang time is how many seconds?
Q7) Subtract the polynomials. (-5v^2+5v+4)-(9v^2+4)
Q8) Express using a positive exponent p^-6=
Q9) Solve. 10x^4-19x^2+6=0 The solution is x= (simplify your answer. Type an exact answer, using radicals as needed. Rationalize all denominators. Use a comma to separate as needed. Type N if there is no solution.
Q10) Use the FOIL method to find the product. (7x^4-5)(x^7-9)
Provide complete and step by step solution for the question and show calculations and use formulas.