X=2y
2x+5y=9
substitute the x=2y into the second equation
2(2y)+5y=9
multiple the 2y by 2. 4y+5y=9
combine like terms. 9y=9
divide the 9 out from both sides. y=1
plug the y back into the first equation
x=2(1)
multiply. x=2
your answer is: x=2
y=1
we know that
The equation in vertex form of a vertical parabola is equal to

where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to the x-coordinate of the vertex
so
-----> equation of the axis of symmetry
In this problem we have

Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation


Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares
the vertex is the point 
therefore
<u>the answer is</u>
The axis of symmetry is

see the attached figure to better understand the problem
Answer:

Step-by-step explanation:
Given the function: 
f(x) =number of days it would take to complete the project
x =number of full-time workers.

The domain of a function is the complete set of possible values of the independent variable.
In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.
Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).

Answer:
The length of the missing side can be calculated by the following steps;
Step-by-step explanation:
So first find the distance from the bottom of the lumber to the wood
40^2= 36^2+X^2
X=304^1/2. Or the sqaure root of 304
The you use the sin equation
Sin90*\40= sin(unknown angle)/304^1/2
Sinx(x) = ((304^1/2)xsin(90))/40
X=arcsin((304^1/2)xsin(90))/40