Answer:
x=3, y=76
Step-by-step explanation:
You set them equal because you plug in "y" as 22x+10 into "y=20x+16"
22x+10=20x+16
2x=6
x=3
20(3)+16=76
9514 1404 393
Answer:
-12, -21
Step-by-step explanation:
Let x represent the first number. Then the second is x-9. The other relation is ...
4x = 2(x-9) -6
2x = -24 . . . . . subtract 2x, simplify
x = -12
x-9 = -21
The first number is -12; the second number is -21.
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>