Answer:
diameter = 3,600 units
Step-by-step explanation:
Let
= 3.14
C = 2
r
11,304 = 2(3.14)r
r = 1,800
d = 2r = 2(1,800) = 3,600
I hope this is what you're looking for. The concept of regrouping<span> (borrowing) is so that students can see what actually happens in it. For example, to </span>subtract <span>52 − 38, we write 52 as 50 + 2 (breaking it down into its tens and ones). Then, </span>regrouping<span> means that 50 + 2 becomes 40 + 12.</span>
This one is pretty simple. You have to look at the zeros given to you and you just have to plug it in for X. For the first function, (X+3(X+4), you replace the Xs so it would look something like this. (3+3)(-4+4). When you solve for both of these you will get 6 and 0. Because they both do not equal out to zero, this function does not work. If you do that to the rest of the functions, you will find that (X-3)(X+4) will equal out to 0 for both. You then know that this is the function. You can make sure that that is the correct answer by plugging the zeros into the other functions as well. If you do so, you will find that the other functions do not work.
Let us assume the width of the rectangle = x inches
Then
The length of the rectangle = 2x inches
The perimeter of the rectangle as given in the question = 48 inches
We already know
Perimeter of a rectangle = 2 (Length + Width)
48 = 2 (2x + x)
48 = 2 (3x)
48 = 6x
x = 48/6
= 8
So
The width of the rectangle = 8 inches
And
The length of the rectangle = 2x
= 2 * 8 inches
= 16 inches
from the above deduction, we can easily say that the length of the rectangle is 16 inches and the width of the rectangle is 8 inches.
An independent system has different slopes hence has a unique solution.
If two lines have the same slope then, they are inconsistent. The reason is that the two lines could have NO SOLUTION or INFINITELY MANY SOLUTION.
An inconsistent system that have infinitely many solution is said to be dependent.
Now let us make
the subject in both equations, to obtain,
![y=2x-8](https://tex.z-dn.net/?f=y%3D2x-8)
For the seccond equation, we have
![2x-y=8](https://tex.z-dn.net/?f=2x-y%3D8)
![\Rightarrow -y=-2x+8](https://tex.z-dn.net/?f=%5CRightarrow%20-y%3D-2x%2B8)
![\Rightarrow y=2x-8](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D2x-8)
Wow, the two systems have the same slope and
intercept. This means the system has infinitely many solution, hence it is dependent.
<h2>
The two systems are dependent</h2>