Answer:
(A)(10, –2)
Step-by-step explanation:
The image of the given triangle has points :
![A'(-2, 10)\\B'(-6, 4)\\C'(-10, 8)](https://tex.z-dn.net/?f=A%27%28-2%2C%2010%29%5C%5CB%27%28-6%2C%204%29%5C%5CC%27%28-10%2C%208%29)
When points are reflected across the line y = x, the x-coordinate and y-coordinate change places.
Therefore, the pre-image of the triangle has points:
![A(10,-2)\\B(4,-6)\\C(8,-10)](https://tex.z-dn.net/?f=A%2810%2C-2%29%5C%5CB%284%2C-6%29%5C%5CC%288%2C-10%29)
Therefore, the pre-image of vertex A' is (10,-2).
The correct option is A.
Answer:
-4.32 would be the answer
i hope this helps you
A<span>nswer, as a decimal, in the box.
</span>602.88
Answer:
Because the volume of water is higher in oceans than atmosphere
Step-by-step explanation:
Critically looking at water cycle, we could infer that water can exist for a few days in the atmosphere because it also resides on land as well.
The atmosphere is basically a way for the ocean water to run back on land and run off right back into the oceans. It won't come back right away depending squarely on where it goes, but there is a lifetime out of the ocean that balances these times out.
The contributing factor factor to this difference is mainly the volume of water in ocean is higher and evaporation occurs slowly.
Find attached below the picture of water cycle.
Answer:
Option B.
Step-by-step explanation:
Inverse function:
Suppose we have a function y = f(x). To find the inverse function, we exchange x and y on the original function, and then isolate y.
The domain of the inverse function(x values) is the range of the original function(y values).
Original function:
![f(x) = \sqrt{x} - 5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%7Bx%7D%20-%205)
Domain is
, and when
. So the range is
, that is, ![y \geq -5](https://tex.z-dn.net/?f=y%20%5Cgeq%20-5)
Inverse function:
![y = \sqrt{x} - 5](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%7Bx%7D%20-%205)
Exchanging x and y
![x = \sqrt{y} - 5](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7By%7D%20-%205)
![\sqrt{y} = x + 5](https://tex.z-dn.net/?f=%5Csqrt%7By%7D%20%3D%20x%20%2B%205)
![(\sqrt{y})^2 = (x+5)^2](https://tex.z-dn.net/?f=%28%5Csqrt%7By%7D%29%5E2%20%3D%20%28x%2B5%29%5E2)
![y = (x+5)^2](https://tex.z-dn.net/?f=y%20%3D%20%28x%2B5%29%5E2)
The inverse function is ![f^{-1}(x) = (x+5)^2](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%28x%2B5%29%5E2)
Domain:
Range of the original function is
, so the domain of the inverse function is
. The correct answer is given by option B.