Answer:
or ![x = -1](https://tex.z-dn.net/?f=x%20%3D%20-1)
Step-by-step explanation:
Given
![\sqrt{x + 2}= {-x}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%20%2B%202%7D%3D%20%7B-x%7D)
Required
Find the possible values fo x
![\sqrt{x + 2}= {-x}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%20%2B%202%7D%3D%20%7B-x%7D)
Square both sides
![( \sqrt{x + 2})^2= ({-x})^2](https://tex.z-dn.net/?f=%28%20%5Csqrt%7Bx%20%2B%202%7D%29%5E2%3D%20%28%7B-x%7D%29%5E2)
![x + 2 = x^2](https://tex.z-dn.net/?f=x%20%2B%202%20%3D%20x%5E2)
Equate to 0
![x^2 - x - 2 = 0](https://tex.z-dn.net/?f=x%5E2%20-%20x%20-%202%20%3D%200)
Expand
![x^2 + x -2x - 2 = 0](https://tex.z-dn.net/?f=x%5E2%20%2B%20x%20-2x%20-%202%20%3D%200)
Factorize:
![x(x + 1) - 2(x + 1) = 0](https://tex.z-dn.net/?f=x%28x%20%2B%201%29%20-%202%28x%20%2B%201%29%20%3D%200)
![(x -2)(x +1) = 0](https://tex.z-dn.net/?f=%28x%20-2%29%28x%20%2B1%29%20%3D%200)
Split:
or ![x + 1 = 0](https://tex.z-dn.net/?f=x%20%2B%201%20%3D%200)
or ![x = 0-1](https://tex.z-dn.net/?f=x%20%3D%200-1)
or ![x = -1](https://tex.z-dn.net/?f=x%20%3D%20-1)
Answer:
it moves down
Step-by-step explanation:
for the graph originally f(x)=x and subtract 6 from it, it will move 6 units down, and to find the new coordinate you subtract 6 in y so (x , y-6)→for the new coordinate.
NOTE: if the graph added to 6 it will move up 6 units.
Answer:
x=8
Step-by-step explanation:
You move all terms that don't contain x to the right side and solve.
3x-6=18
3x=24
x=8
Answer:
The surface area of a cylinder is the sum of the areas of the two bases and the area of the lateral surface. If the height of the cylinder is doubled, the area of the lateral surface is doubled, but the areas of the bases remain the same.
Step-by-step explanation: