To write 32,005,008 in expanded form, you write it out like this: <span>32,005,008 = 30,000,000 + 2,000,000 + 5,000 + 8.
I know this because I learned it in 3rd grade at school.
Hope I helped!
- Debbie
</span>
Answer:
Perimeter: 33.7 mm
Area: 54 mm
Step-by-step explanation:
If you do 12 + 9.7 + 12 you will get the perimeter, and to get the area you would use the formula A =
x base x height. Since the base is 12 and the height is 9, you would do 12 x 9 x 0.5 to get 54 mm for the area of the triangle.
Y =2x +14
-4x –y = 4 so y = -4x – 4
2x + 14 = -4x – 4
2x + 4x = -4 - 14
6x = -18
x = -18/6
x = -3
Y =2x +14
y = 2(-3) +14
y= -6 +14
y=8
answer:
y-coordinate is 8
We are given the function:
g(n) =

We need to find what g(-3) equals.
What the question is asking is what is the resulting value after you plug in -3 as n to the function. Meaning you replace the n that is in the function with -3.
g(-3) =

Remember back to the order of operations.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
For this problem we can keep the fraction as it is (unless you are permitted to use a calculator... if that is the case then just plug all that into a calculator) and keep going to the exponent.
Negative exponents make fractions FLIP. So our fraction will look like this:

Now that we have it without the negative exponent we need to distribute the cubed power to each number in the fraction (which is essentially the same as saying this:

)

We ARE NOT done! We still have this left:
g(-3) =

Multiplying by 3 you get the following:

So what does g(-3) equal? This right here:
<h3>Answer: 6pi radians</h3>
(this is equivalent to 1080 degrees)
======================================
Explanation:
f(x) = sin(x/3)
is the same as
f(x) = 1*sin( (1/3)(x-0) )+0
and that is in the form
f(x) = A*sin( B(x-C) )+D
The letters A,B,C,D are explained below
A = helps find the amplitude
B = 2pi/T, where T is the period
C = determines phase shift (aka left/right shifting)
D = determines vertical shift = midline
All we care about is the value of B as that is the only thing that is connected to the period T
--------
Compare f(x) = 1*sin( (1/3)(x-0) )+0 with f(x) = A*sin( B(x-C) )+D and we see that B = 1/3, so,
B = 2pi/T
1/3 = 2pi/T
1*T = 3*2pi ... cross multiply
T = 6pi
The period is 6pi radians. This is equivalent to 1080 degrees. To convert from radians to degrees, you multiply by (180/pi).