I assume you're supposed to establish the identity,
cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)
Recall the double angle identity for sine:
sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)
Then you have
sin(8A) = 2 sin(4A) cos(4A)
sin(8A) = 4 sin(2A) cos(2A) cos(4A)
sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)
==> sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)
as required.
Answer:
Well to find 1/3 of something you have to multiply it by 1/3.
1/3 in decimal form is .33 repeating.
17.55 * .33 = 5.79
17.55 + 5.79 = $23.34
$23.34 is the total profit.
ANSWER
The x-coordinate of the solution to the system of equations is 1.
EXPLANATION
The given equations are:
y = -x - 2
and
y = 2x - 5.
We want to find the x-coordinate of the solution to the system of equations.
We equate the two equations to obtain an equation in x.
This implies that,
2x-5=-x-2
Group similar terms to obtain:
2x+x=-2+5
Simplify
3x=3
Divide both sides by 3.
x=1
The x-coordinate of the solution to the system of equations is 1
Answer:
4x +5y = 10
Step-by-step explanation:
Standard form of an equation is Ax +By = C
y=-4/5x+2
Add 4/5 x to each side
4/5 x +y=-4/5x+ 4/5x+2
4/5 x + y = 2
Now we don't have fractions in A ,B or C
So Multiply by 5
5(4/5 x + y) = 2*5
Distribute
4x +5y = 10
Answer:
Answer is: A(Linear)
Step-by-step explanation:
A linear function is a function whose graph is a straight line.
It is given that Mary plotted a graph and she found out that the difference in the y values is the same. So such a thing could happen when a function is a linear function.
since, a linear equation is given as:
where a and b are real numbers.
so for distinct values of x say 
we get the y-values as 
now,
so for equally spaced 
we get the difference in y-value to be equal.
Hence, the function is Linear.
