Answer:
See answers and explanations below (along with a visual graph)
Step-by-step explanation:
For the function
:
Amplitude: 
Period: 
Phase shift: 
Vertical shift: 
Therefore, for
:
Amplitude:
, which is 2 units above and below the midline (see d)
Period:
, so the cycle will repeat every 3π units
Phase shift:
, or π units to the left
Vertical shift:
, or 1 unit down
Use elimination and subtitution method to solve the problem.
First, eliminate x and you'll find the value of y
x - 4y = 12
x - y = 0
--------------- - (substract)
-3y = 12
y = 12/-3
y = -4
Second, subtitute -4 as y and you'll find the value of x
x - y = 0
x- (-4) = 0
x + 4 = 0
x = -4
The solution
x,y = -4,-4
Answer:
28
Step-by-step explanation:
Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:
3x+4 = 5x-6
3x+10 = 5x
10 = 2x
x = 5
Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:
(3*(5)+4)*2
=(15+4)*2
=19*2
=28
(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)
Therefore, the length of AC is 28.
Answer:
900
Step-by-step explanation:
1,000 degreased by 10%=900
hope this helps
have a great day/night