9514 1404 393
Answer:
(x, y) = (-2, -1) or (2, 1)
Step-by-step explanation:
Substitute for x in the first equation:
(2y)^2 +3(2y)y = 10
10y^2 = 10
y^2 = 1
y = ±1
x = 2y = ±2
Solutions are (x, y) = (-2, -1) or (2, 1).
This answer uses NMF, which can be found out about in my profile:
We know that the length has to equal the width and height. This means that the amount of cubes used in total has to be the cube (power of 3) of the side length.
The answer is
floor#({3}√{x}) = {3}√{x}
where x is your possible answers and the statement is true.
If we do x = 81, then we can do
{3}√{81} ≈ 4.33
floor#(4.33) ≠ 4.33
therefore the answer is not 81
x = 243:
{3}√{243} ≈ 6.24
floor#(6.24) ≠ 6.24
x = 486:
{3}√{486} ≈7.86
floor#(7.86) ≠ 7.86
x = 729:
{3}√{729} = 9
floor#(9) = 9
Because they are equal, the number of cubes used is 729.
Given:
The given quadratic equation is
![3(x+4)^{2} = 48](https://tex.z-dn.net/?f=3%28x%2B4%29%5E%7B2%7D%20%3D%2048)
or, ![(x+4)^{2} =16](https://tex.z-dn.net/?f=%28x%2B4%29%5E%7B2%7D%20%3D16)
And
The roots are given: ![x = -8 , x = 0](https://tex.z-dn.net/?f=x%20%3D%20-8%20%2C%20x%20%3D%200)
To find the missing step.
Let us solve the equation.
![3(x+4)^{2} = 48](https://tex.z-dn.net/?f=3%28x%2B4%29%5E%7B2%7D%20%3D%2048)
or, ![(x+4)^{2} = 16](https://tex.z-dn.net/?f=%28x%2B4%29%5E%7B2%7D%20%3D%2016)
or,
[ eliminating 16 from both the side]
or, ![x^{2} +8x = 0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B8x%20%3D%200)
or, ![x(x+8) = 0](https://tex.z-dn.net/?f=x%28x%2B8%29%20%3D%200)
or, ![x = 0, x = -8](https://tex.z-dn.net/?f=x%20%3D%200%2C%20x%20%3D%20-8)
Hence,
The step 2 could be ![x^{2} +8x = 0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B8x%20%3D%200)
12:12 would be an even ratio of 1:1 but since you have a ratio of 1:2 you would take away half of the action movies and add it to the other category so the ratio would be 6:18 (1:2 if reduced) meaning 6 action films would be shown.