Answer:
4x² + 12xy + 9y²
Step-by-step explanation:
Assuming you require the expansion
(2x + 3y)²
= (2x + 3y)(2x + 3y)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x + 3y) + 3y(2x + 3y) ← distribute both parenthesis
= 4x² + 6xy + 6xy + 9y² ← collect like terms
= 4x² + 12xy + 9y²
Step-by-step explanation:
No of hours = 3
Distance in kilometre = 273
Average speed = 273 ÷ 3 = 91
So 91 is the average speed per hour
The answer is 1/2 I believe
Answer:
see below
Step-by-step explanation:
We presume the damping constant is the opposite of the multiplier of time in the exponential term. Then the equations are ...
(a) y = a·e^(-ct)·sin(ωt)
(b) y = a·e^(-ct)·cos(ωt)
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These are the standard equations for simple harmonic motion assuming there is no driving function.
a = initial amplitude*
c = damping constant**
ω = frequency of oscillation in radians per second
t = time in seconds
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* Of course, when y(0) = 0, the motion never actually reaches this amplitude because it is subject to decay before it can.
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** In electrical engineering, damping is often specified in terms of a time constant, the time it takes for amplitude to decay to 1/e (≈36.8%) of the original amplitude. If that time is represented by τ, then the exponential factor is e^(-t/τ).
Answer: 644
(20x25)+(18x8)
(500) + (144)
=644
