Answer:
We validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
Step-by-step explanation:
Given
A (−1, 4)→ A' (3, 3)
Here:
- A(-1, 4) is the original point
- A'(3, 3) is the image of A
We need to determine which translation operation brings the coordinates of the image A'(3, 3).
If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.
Thue, the rule of the translation will be:
A(x, y) → A' (x+4, y-1)
Let us check whether this translation rule validates the image coordinates.
A (x, y) → A' (x+4, y-1)
Given that A(-1, 4), so
A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)
Therefore, we validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
Answer:
4618.1 ft³
Step-by-step explanation:
Volume of the cone:
![V_{cone} = \frac13 \pi r^2 h](https://tex.z-dn.net/?f=V_%7Bcone%7D%20%3D%20%5Cfrac13%20%5Cpi%20r%5E2%20h)
![V_{cone} = \frac13 \cdot \pi \cdot 49 \cdot 12 = 196\pi](https://tex.z-dn.net/?f=V_%7Bcone%7D%20%3D%20%5Cfrac13%20%5Ccdot%20%5Cpi%20%5Ccdot%2049%20%5Ccdot%2012%20%3D%20196%5Cpi)
Volume of the cilinder:
![V_{cilinder} = \pi r^2 h](https://tex.z-dn.net/?f=V_%7Bcilinder%7D%20%3D%20%5Cpi%20r%5E2%20h)
![V_{cilinder} = \pi \cdot 49 \cdot 22 = 1078\pi](https://tex.z-dn.net/?f=V_%7Bcilinder%7D%20%3D%20%5Cpi%20%5Ccdot%2049%20%5Ccdot%2022%20%3D%201078%5Cpi)
Total volume is 2*Vcone + Vcilinder = 1470π ≈ 4618.1 ft³
Answer: here
Step-by-step explanation: id say about 322 cuase of the decimal
Answer:
y = 1/3x - 2
Step-by-step explanation:
2x − 6y = 12
-6y = -2x + 12
y = 1/3x - 2
Short time debt. Mainly this helps you because you’ll most like your blow your short time debt money off on the house. Or whatever you get. It works better for costumer so you actually pay it off and you wont risk yourself.