Let’s say that the other one is described as X. So if one piece is twice as long as the other one, it’ll be 2x.
2x + X =111
3x = 111
3x divided by 3= 111 divided by 3
X= 37
So 2x = 2(37) = 74
X = 37
74
+ 37
————
111
The equation according to the given verbal sentence is 
(after solving this 
).
<u>Step-by-step explanation:</u>
Rewrite the given verbal sentence and so it will be easier to translate.
Given: The quotient of the sum of 2 t and 2 and twice the cube of s
sum of 2 t and 2 can be written as
2 t + 2
twice the cube of s
Now, combine the above according to the given verbal. The quotient of the sum of 2 t and 2 and twice the cube of s means,
2 t + 2 divided by
Now, the equation would be
When solving this equation, we get
Answer:
(0,2)
Step-by-step explanation:
I'm going to assume you meant Which point is ON the graph of f(x) = 2 * 5^x?
In order to do this question, all you need to do is pick any number as x. Lets pick 0 in this case.
f(x) = 2 * 5^x
f(0) = 2*5^0
= 2*1
= 2
So one point on the graph would be (0,2)
Why?
Because remember with functions, the f(x) can be swapped out with y, so when x = 0, y = 2.
(1) circumference of a circle = 2π.R
(2) area of a circle = π.R²
Area = 452.16 m² (given), so we can calculate the radius:
452.16 = π.R²
452.16/π = R²
143.92 = R² → R =√143.92 ≈ 12 m
Having R = 12, now we can calculate the circumference :
circumference of a circle = 2π.R = 2.π.12 = 75.41 m
Answer:
D) (x, y) → (1/3x , 1/3 y)
Step-by-step explanation:
A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged. If the dilation factor is smaller than 1, the figure is shrinked. In both cases, the coordinates are MULTIPLIED by the dilation factor.
Among the 4 choices, only 2 are dilations. One is with a dilation factor of 3 (A), which means the shape was enlarged. And the other is with dilation factor of 1/3, meaning the shape was shrinked.
Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.
Answers B and C show a translation/movement of the shape, not a dilation.
