CC. 2 units in positive x and 3 units in positive z
Answer:
28.26
Step-by-step explanation:
For this, we can simply use the pi times r squared because we have the radius.
simplify pi to 3.14, so we can do 3.14 times 3 squared.
we get 9x 3.14, which is 28.26.
The given function is

The general form of the cosine function is

a is the amplitude
2pi/b is the period
c is the phase shift
d is the vertical shift
By comparing the two functions
a = 4
b = pi
c = 0
d = 1
Then its period is

The equation of the midline is

Since the maximum is at the greatest value of cos, which is 1, then

Since the minimum is at the smallest value of cos, which is -1, then

Then substitute them in the equation of the midline

The answers are:
Period = 2
Equation of the midline is y = 1
Maximum = 5
Minimum = -3
-3x + y - 2z = 10 |* -1
3x - y +2z = -10
5x -2y -2z = 12
--------------------------- I add these equations term by term
8x - 3y = 2
-3x + y - 2z =10 ⇒ -3x + y - 2z =10
x -y +z = 23 | *2 2x - 2y + 2z = 46
----------------------------- I add these eq.
-x -y = 56
8x - 3y = 2
-x -y = 56
this is the system after i reduce it ( it has only two variables x and y)
Since it could drive 49 miles on 1 gallon, and this is also it's gas mileage, (because 490/10=49) it could drive 45 times more on 45 gallons than on one. So, we multiply 45 by 49 to get 2209 gallons on 45 gallons of gas.