The lines are perpendicular because the slopes are negative reciprocals of eachother.
Answer:
It is equivalent to a decimal that does not terminate.
Step-by-step explanation:
When you divide 1 by 3, you get 0.33333333333333333333333333333333333333333333333333333 forever. The decimal never ends.
Answer:
The answer is y = ± ![\sqrt[4]{\frac{x}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7Bx%7D%7B4%7D%7D)
, 
is a function ⇒ 1st answer
Step-by-step explanation:
Let us revise the steps of find the inverse of a function
- Replace f(x) with y
- Replace every x by y and replace y by x
- Solve the equation in Step 2 for y
- Replace y by
∵ 
- Replace f(x) by y
∴ 
- Replace y by x and x by y
∴ 
- Divide each side by 4
∴ 
- Take ![\sqrt[4]{}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%7D)
for both sides
∴ ± ![\sqrt[4]{\frac{x}{4}}=y](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7Bx%7D%7B4%7D%7D%3Dy)
- Switch the two sides
∴ y = ±
∵ There is no fourth root for negative number
∴ x ≥ 0
When you test the graph of by a vertical line, it will cut it just at one in every position, so it is a function. Look to the attached graph for more understand
∴ is a function
The answer is y = ± , is a function
For this problem, the total length of fencing is equivalent to the perimeter of a rectangle. The formula for the perimeter of a rectangle is written below:
P = 2L + 2W
where L and W are the length and width dimensions
From the relationship described,
P = 350,350 ft
W = 2/3 L
Substituting this to the perimeter equation:
350,350 = 2L + 2(2/3 L)
Solving for L,
L = 105,105 ft
W = (2/3)(L) = (2/3)(105,105) = 70,070 ft
Answer:
C. Positive Correlation
Step-by-Step explanation
Because a positive correlation is a relationship between two variables that move in tandem—that is, in the same direction.
