Equation 1) 3x = 9 - 6y
Equation 2) 3x + 8y = 9
Add 6y to both sides in equation #1.
1) 3x + 6y = 9
2) 3x + 8y = 9
Subtract equations from one another.
-2y = 0
Divide both sides by -2.
y = 0
Plug in 0 for y in the first equation.
3x = 9 - 6y
3x = 9 - 6(0)
Simplify.
3x = 9 - 0
Simplify.
3x = 9
Divide both sides by 3.
x = 3
So, x = 3, y = 0
~Hope I helped!~
Answer:
A) 
Step-by-step explanation:
The volume of a triangular prism can be found using the formula
(1)
where
A is the area of the base
h is the height of the prism
Here, the base is a right triangle; the area of a triangle is
where
b is the base
h' is the height of the triangle
Here, the triangle has the two sides equal, and it is a right triangle, so we have
So the area of the base is
We also know that the height of the prism is equal to the leg length of the base, so
Therefore substituting into (1) we find:
Don't worry, it isn't that hard.
Subtract the ticket cost like so:
28.59 - 14.42 = $14.17
The tickets in New York are $14.17 more than in Atlanta. So B.
Remember that "How much more" means you subtract.
Good luck!
This is a linear function of the form y = mx +b. Moreover we notice in reading the graph that y-intercept is 2 and x-intercept is -3. Thus the 2 coordinates which are given are A(0,2) and B(-3,0)
Now we can find its equation:
1st calculate the slope of AB: (y₂-y₁)/(x₂-x₁) = m
(0-2)/(-3-0)= 2/3 → y = (2/3)x + b
2nd calculate b: Replace x and y by any of either A coordinates or B's
Let's take A for instance: 2= (2/3)(0) +b → b=2 and the final equation:
y= (2/3).x + 2
I think the answer is 0.08823529
