A circular crop field has an irrigation system in which a pipe, with one end attached to a tower at the center of the field, tur
ns continuously to deliver water. The horizontal distance, in meters, from the tip of the pipe to the farmhouse is represented by y = Equals 400 sine (StartFraction pi Over 8 EndFraction x + pi) + 500, where x represents time in hours.
What does the amplitude of this function represent?
A.the length of the pipe
B.the distance between the tower and the farmhouse
C.the time it takes for the pipe to complete one full circle
D.the difference between the maximum and minimum distances from the tip of the pipe to the farmhouse
What does the amplitude of this function represent?
A.the length of the pipe
B.the distance between the tower and the farmhouse
C.the time it takes for the pipe to complete one full circle
D.the difference between the maximum and minimum distances from the tip of the pipe to the farmhouse
1 answer:
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We have the rational expression 
; to simplify it, we are going to try to find a common factor in the numerator, and, if we are luckily, that common factor will get rid of the denominator 
.
Notice that in the denominator all the numbers are divisible by two, so 2 is part of our common factor; also, all the terms have the variable
, and the least exponent of that variable is 1, so will be the other part of our common factor. Lets put the two parts of our common factor together to get .
Now that we have our common factor, we can rewrite our numerator as follows:
We are luckily, we have in both numerator and denominator, so we can cancel those out:
We can conclude that the simplified version of our rational function is
.
Notice that in the denominator all the numbers are divisible by two, so 2 is part of our common factor; also, all the terms have the variable
Now that we have our common factor, we can rewrite our numerator as follows:
We are luckily, we have
We can conclude that the simplified version of our rational function is
Step-by-step explanation:
The vertex form of the equation for a parabola is given by
where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as
Also, since the parabola passes through (4, -7), we can use this to find the value for a:
or
Therefore, the equation of the parabola is
Hope this somewhat helps you
Answer:
Step-by-step explanation:
Product of of 3 and b is 3b
At least means greater than or equal too.