Use of pythagorean formula in three dimensions

Question

Assignment:

Q1. Solve:

a) 36x² + 49 = 0

b) Find the x-intercept of f9x) = 36x² + 49

Q2. Solve. Give the exact solution and approximate solutions to three decimal places, when appropriate.

a) 3x² - 7 = 0

b) (t - 2)² = 25

Q3. Use the hang-time function V(T) = 48T², relating vertical leap to hang time.

Q4. Tracy McGrady, of the Houston Rockets, has a vertical leap of 40in. What is his hang-time?

Q5. a) Solve: 49x² - 14x + 1 = 0

b) Find the x-intercept of f(x) = 49x² - 14x + 1

Q6. 11(x - 2) + (x - 5) = (x + 2) (x - 6)

Q7. 1/x + 1/ x + 4 = 1 / 7

Q8. (x + 3)² + (x - 1)² = 0

Q9. The outside of a picture frame measures 14in. by 20in.; 160in² of picture shows. Find the width of the frame.(Please define the variable).

Q10. The hypotenuse of a right triangle is 22m long. The length of one leg is 10 m less than the other. Find the lengths of the legs.(Please define the variable)

Q11. A turbo-jet flies 50mph faster than a super-prop plane. If a turbo-jet goes 200mi in 3hr less time that it takes the super-prop plane to go 2800mi, find the speed of each plane.

Q12. N(kQ₁kQ₂ / s²), for --> s

Number of phone calls between two cities.

Q13. a² + b² + c² = d², for c

Pythagorean formula in three dimensions.

Provide complete and step by step solution for the question and show calculations and use formulas.