Answer:
Step-by-step explanation:
The point of intersection of
and
is the solution of the two equations.
We add equation (1) and equation(2) to get,
We put 
into equation (1) to get,
Therefore the line passes through the point, 
.
The line also passes through the point of intersection of
and
We subtract equation (3) from equation (4) to obtain,
We substitute this value into equation (4) to get,
The line also passes through
The slope of the line is
The equation of the line is
is the required equation
Answer:
The width is independent, w, and the length is dependent, 2w - 5. If discussing the area then the independent is w and the dependent is Area for A = (2w-5)(w).
Step-by-step explanation:
On a graph called the coordinate plane, there are two axis. The horizontal axis is the x-axis and is known as the independent variable. A great example of an independent variable is time. Time is always represented on the x-axis because time passes by. It does not depend on anything.
The other axis is the y-axis. It is the vertical axis on the graph. It is called the dependent variable because its value depends on x. For example, if you were looking at miles per hour, the number of miles would depend on how many hours you traveled. You have to know the time to find miles. This is a dependent variable.
Here w can be anything and it affects what the length 2w - 5 will be. It determines it because it is part of the expression. The independent variable is w and the dependent variable is the length 2w - 5. If discussing the area then the independent is w and the dependent is Area for A = (2w-5)(w).
Answer:
alex earns 540.00
Step-by-step explanation:
Sector area can be found with the formula 
where 
is the central angle.
r = 8m , = 135º
m^2
Arc length formula is 
m
