Answer:
<h2>
</h2>
Step-by-step explanation:
To find y when x=4, we must first find the relationship between them
The statement
y varies directly with x is written as
<h3>
</h3>
where k is the constant of proportionality
From the question
when y = 1/5
x = 3
Substitute the values into the above formula and solve
That's
<h3>
</h3>
So the formula for the variation is
<h3>
</h3>
From the question
when x = 4
<h3>
</h3>
Hope this helps you
Answer: x(t) = 5cm*cos(t*pi/2s)
Step-by-step explanation:
This is a sinusoidal equation, so we can write this as:
x(t) = A*cos(c*t + p) + B
where B is the axis around the movement, as the resting position is x = 0, we have B = 0
so x(t) = A*cos(c*t + p)
A is the amplitude of the oscilation, c is the frequency and p is a phase.
We know that when t = 0s, we have x(2s) = 5cm
if this is the maximum displacement, then knowing that the maximum of the cosine is cos(0) = 1
then we must have that p = 0
x(0s) = A*cos(0) = 5cm
then we have A = 5cm
Now, when t = 2s, we have:
x(2s) = 5cm*cos(2s*c) = -5cm
then 2s*c is the minimum of the cos(x) function, this is:
cos(pi) = -1
then 2s*c = pi
c = pi/2s.
then our function is:
x(t) = 5cm*cos(t*pi/2s)
Answer:
Step-by-step explanation:
The distance from a port Huron to the Indiana state line = 271 miles (approx)
We have to express the given distance into kilometers.
Since, 1 mile = 1.61 kilometers.
To convert the unit "miles" to "kilometer", we have to multiply the given miles by 1.61 to get the required kilometers.
Therefore, distance in kilometers = 
kilometers
= 436.3 kilometers.
Therefore, the distance from a port Huron to the Indiana state line in kilometers is 436.3 kilometers.
Answer:
(-3, 5)
Step-by-step explanation:
plug y = 5 into the second equation
x(5) = -15
5x = -15
x = -3
(-3, 5)
