The area of the triangle is a rational number,
since both its base and its height are.
answer and step by step in the attachment
Answer:
The equation of the displacement
as a function of time
is :

Step-by-step explanation:
Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple
or
terms.
Thus,

is the general form of displacement of a SHM.
where,
- <em>
is the displacement with respect to the mean position at any time
</em> - <em>
is amplitude </em> - <em>
is the natural frequency of oscillation (
)</em> - <em>
is the phase angle which indicates the initial position of the object in SHM (
)</em>
given,
- Time period (
) = 

- The natural frequency (
) and time period (
) is :

∴
=

∴
the equation :
<em>⇒
</em> ------1
since
when
,
<em>⇒
------2</em>
where n is an integer ;
<u>⇒since the bouy immediately moves in the negative direction ,
must be negative or c must be an odd multiple of
.</u>
<em>⇒
------3</em>
where k is also an integer ;
the least value of
;
thus ,
the equation is :

<em></em>
Answer:
we conclude that the first step is to find the greatest common factor (GCF).
Hence, option C is correct.
Step-by-step explanation:

As 4 is the greatest common factor of the expression, so factor out common term 4:
i.e.

Thus, the first step is to find the greatest common factor (GCF)
Now, solving the remaining portion

as (2x+3) and (2x-3) are the factors of (4x²-9)
i.e. (4x²-9) = (2x+3) (2x-3)
Thus, the expression becomes

Therefore, we conclude that the first step is to find the greatest common factor (GCF).
Hence, option C is correct.
Answer:
10 and 18
Step-by-step explanation:
a + 2b = 46
A + 2(b+8) = 46
b + 2b + 16 = 46
3b+ 16 = 46
3b = 30
b = 10
That’s the first number.
b is 10 so a is 10+8 = 18 because it’s 8 more then the other number.
b + 2a = 46
(10) + 2(18) = 46
10 + 36 = 46
46 = 46