Answer:
Equation of movement y(t)

Amplitude: 1 inch
Period: 0.628 seconds
Step-by-step explanation:
If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

The period depends on the mass and the spring constant.
The formula for the period is:

The model y(t) for the movement of the mass-spring system is

Answer:
x^2 - 8xy + 3y^2 - 2
Step-by-step explanation:
(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2
- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2
- unknown = -x^2 + 8xy - 3y^2 + 2
Unknown = x^2 - 8xy + 3y^2 - 2
Check:
(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)
= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2
= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2
= x^2 + 2
Answer:
y = (x + 4)(x - 9)
Step-by-step explanation:
x = {-4, 9}
y = (x + 4)(x - 9)
Answer:
0.1037
Step-by-step explanation:
(6C4 × 12C3)/18C7
3300/31824
275/2652 = 0.1037
Answer:
6 times the sum of a number and 12 is 114. The number is 17
Step-by-step explanation:
6 x 17 + 12= 114