Answer: Choice C) no solution
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Explanation:
The first equation says that y and 3x-4 are the same thing.
So we can replace every copy of "y" in the second equation with "3x-4" like so
9x - 3y = 14
9x - 3(3x-4) = 14
9x - 9x + 12 = 14
0x + 12 = 14
0 + 12 = 14
12 = 14
The last equation is false because we get different values on either side. Because the last equation is false, it means the equation 9x-3y = 14 is false when y = 3x-4.
In short, the overall systems of equations is inconsistent and that leads to no solution (choice C).
If you were to graph each equation, you should find that both lines are parallel. Parallel lines never intersect. The solution is the intersection point of any graphed system.
Answer:
Step-by-step explanation:
Notice that the red graph is the blue graph shifted 1 units up.
According to the function transformation rules, we add 
to the output of the function to shift its graph units up, and we subtract to the output of the function to shift its graph units down.
The output of our function is 
, and since we want to shift 1 units up, 
. In other words, we just need to add 1 to the output of the function:
We can conclude that the equation of the red graph is .
Answer:
The volume is 
Step-by-step explanation:
we know that
The volume of the sphere is equal to
we have
----> the radius is half the diameter
substitute the values
Answer:
C. 6√2.
Step-by-step explanation:
Since this is a right angled isosceles triangle bot legs are 6 units long
So h^2 = 6^2 + 6^2 = 72
h = √72 = 6√2.
