Answer:
0.009 units in the positive y direction.
Step-by-step explanation:
Vertical shift is simply the value of the constant.
In this case, if you expand the formula by multiplying 0.9 into the parentheses,
y = 0.9 sin [(π/3) - x] + (0.9)(0.01)
y = 0.9 sin [(π/3) - x] + 0.009
Here the value of the constant is 0.009 and it is positive, hence the vertical shift is 0.009 units in the positive y direction.
Solving an equation like this means to find the value of the variable. Here, the variable is x. Solve the left side normally.
Given: 1/3(9 - 6x) = -11
Distribute: 1/3(9) + 1/3(-6x) = -11
When operating with constant numbers on a variable term, apply affects of the operation on the coefficient. So, 1/3(-6x) = -2x.
3 - 2x = -11
Isolate the variable: 3 - 3 - 2x = -11 - 3
-2x = -14
Since these are both negative, we can convert them both to being positive.
2x = 14
Simplify: 2x/2 = 14/2
<u>x = 7</u>
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<span>-4x-10x = -14x ....
hope it helps</span>