The a is 11
g(4)=20+a
g(4)=31
31-20=11
a=11
Answer:

Step-by-step explanation:
<u>Trigonometric Functions</u>
The trigonometric functions have a cyclic behavior, which means they perform a full cycle and then do it all again in their whole domain. If we know that
sinx=0
we can use the inverse sine function to know the values of x. In this case, all angles whose sine is 0.
X=0 is the trivial solution, but given the repetitive nature of the sine, we know the next cycle will repeat the same value. Each cycle occurs every
units of x, so the solution is

being k any integer number, positive or negative
The height of the tip of the blade (in feet) of our windmill has a motion described by the equation

Let's start one cycle by setting x=0, so the initial value of h is

The very next cycle will be when h=18 again

Or
sinx=0
Which next solution is

So, it will take to make a full rotation for one blade a time of

Answer:
-20x -27 is the required expression.
Step-by-step explanation:
whenever we are to solve the system of equations by substitution method we have to write one variable in the form of other so as to get the value of unknowns
here, we are given two expressions:

And 
We have to substitute x in terms of y because the equation should be equivalent to y we will put
in 
we will get:


is the expression we will get after expression equivalent to y.
Answer:
(4x+5)/[(x-1)(x-2)]
Step-by-step explanation:
(4x+5)/(x^2-3x+2)
factor out the trinomial x^2-3x+2 first,
find two numbers that when they multiply, you get the third term, which is 2 in this case. And when they add up, you get the second term, which is -3 in this case. x^2-3x+2=(x-1)(x-2)