State the amplitude, period, vertical shift, and horizontal shift for: y = 6 sin(40) + 5
1 answer:
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Let
F--------> represent the force
m--------> represent the mass
a-------> represent the acceleration
we know that
The formula that relates three quantities: Force (F), mass (m), and acceleration (a) is equal to
<u>Part a)</u> Solve this equation for a
Divide both sides by the mass
therefore
<u>the answer part a) is equal to</u>
<u>Part b) </u>Let the force be 25 units and the mass be m = 10 units. What is the acceleration, a?
we know that
the formula of acceleration is equal to
in this problem
we have
Substitute the values n the formula
therefore
<u>the answer part b( is equal to</u>
<u>Part c)</u> Let the force be F = 25 units and the acceleration be a = 5 units. What is the mass, m?
we know that
Solve for m
Divide both sides by the acceleration
in this problem
we have
Substitute the values n the formula
therefore
<u>the answer Part c) is </u>
Here the line passes through (0,0) and (1,3).
First we need to find the slope , and for that we need to use the following formula
On substituting the values from the point, we will get
Now we will use slope intercept form, which is
Where m is the slope and b is the y intercept
And on substituting the values of x and y from the point (1,3) and slope, m = 3, we will get
b =0
Substituting the values of m and b in the slope intercept form, we will get