Answer:
but i think its nonlinear function
Step-by-step explanation:
retype it
Answer:
(0, -3)
explanation:
- original coordinates of C: (0, -7)
If reflected over y axis, there will be additive inverse in x unit
use the formula: (x,y) → (−x, y)
Then if translated vertically, there will be change in y axis:
(0, -7+4) → (0, -3)
Answer:
£152.
Step-by-step explanation:
We have been given that a bottle contains 255 coins. 1/3 of the coins are £1.00.
Let us find 1/3 of 255 to find the number of £1 coins.
![\£1\text{ coins}=\frac{1}{3}\times 255](https://tex.z-dn.net/?f=%5C%C2%A31%5Ctext%7B%20coins%7D%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20255)
This means we have £85.
We are also told that 110 of the coins are 50 p coins.
![\text{Value of 50 p coins}=\£0.50\times 110](https://tex.z-dn.net/?f=%5Ctext%7BValue%20of%2050%20p%20coins%7D%3D%5C%C2%A30.50%5Ctimes%20110)
![\text{Value of 50 p coins}=\£55](https://tex.z-dn.net/?f=%5Ctext%7BValue%20of%2050%20p%20coins%7D%3D%5C%C2%A355)
Let us figure out number of 20 p coins by subtracting the number of £1 coins and 50 p coins from 255.
![\text{Number of 20 p coins}=255-(85+110)](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%2020%20p%20coins%7D%3D255-%2885%2B110%29)
![\text{Number of 20 p coins}=255-(195)](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%2020%20p%20coins%7D%3D255-%28195%29)
![\text{Number of 20 p coins}=60](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%2020%20p%20coins%7D%3D60)
![\text{Value of 20 p coins}=\£0.20\times 60](https://tex.z-dn.net/?f=%5Ctext%7BValue%20of%2020%20p%20coins%7D%3D%5C%C2%A30.20%5Ctimes%2060)
![\text{Value of 20 p coins}=\£12](https://tex.z-dn.net/?f=%5Ctext%7BValue%20of%2020%20p%20coins%7D%3D%5C%C2%A312)
Now let us find total value of the coins contained in the bottle by adding the values of £1 coins, 50 p coins and 20 p coins.
![\text{The total value of the coins}=\£85+\£55+\£12](https://tex.z-dn.net/?f=%5Ctext%7BThe%20total%20value%20of%20the%20coins%7D%3D%5C%C2%A385%2B%5C%C2%A355%2B%5C%C2%A312)
![\text{The total value of the coins}=\£152](https://tex.z-dn.net/?f=%5Ctext%7BThe%20total%20value%20of%20the%20coins%7D%3D%5C%C2%A3152)
Therefore, the total value of the coins contained in the bottle is £152.
You need to use the y = mx + b formula which will get you to the answer
y = -x -2
The answer is 1,695.6 in³.
The volume of the empty space is the difference of the bigger cylinder and the smaller cylinder: V = V1 - V2
The volume of the bigger cylinder is:
V1 = π r² h
r = 10 in
h = 15 in
π = 3.14
V1 = 3.14 * 10² * 15 = 4,710 in³
The volume of the smaller cylinder is:
V2 = π r² h
r = 8 in
h = 15 in
π = 3.14
V2 = 3.14 * 8² * 15 = 3,014.4 in³
The volume of the empty space is:
V = V1 - V2 = 4,710 in³ - 3,014.4 in³ = 1,695.6 in³