Answer:
84m^2
Step-by-step explanation:
The area of a parallelogram is calculated by multiplying height to the base
The height of the given parallelogram is 7m and the base is 12m
12 × 7 = 84
Answer:4 and 3x-2 are roots of 12x-8.
Step-by-step explanation: Expression contains no equality sign
It will take 526.8817.... seconds for the light to reach the planet.
Answer: 
Step-by-step explanation:
Given a System of linear equations, the solution of the system is the point
in which the lines intersect, where "x" is the x-coordinate and "y" is the y-coordinate.
Having the following System of equations:

You can use the Elimination method to find the value of "x":
-Multiply the second equation by 3.
- Add the equations.
- Solve for "x".
Then, you get:

Answer:
4
Step-by-step explanation:
The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)
If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0
However, I will assume you meant the angle to be
rather than 0 which makes sense and proceed accordingly
We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0
The original function is

Taking the first derivative of this with respect to
and setting it equal to 0 lets us solve for the maximum (or minimum) value
The first derivative of
w.r.t
is

And setting this = 0 gives

Eliminating
on both sides and solving for
gives us
Plugging this value of
into the original equation gives us

This is the maximum value that the function can acquire. The attached graph shows this as correct