This rule is known as PEMDAS
In an algebraic equation follow PEMDAS
P= first calculate anything with parantheses
E= then calculate anything with exponents
M= calculate any multiplication
D= calculate any division
A= calculate any addition
S= calculate any subtraction
you must do these in that order
hope this helps:)
1 ) A = 121 π
A = r² π
r² π = 121 π
r = √ 121 = 11
The diameter: d = 2 r = 2 * 11 = 22 units
2 ) C = 20 π
C = 2 r π
2 r π = 20 π
r = 20 : 2 = 10 units
A = r² π = 10² π = 100 π square units.
Yes, a common denominator is just the smallest multiple of all numbers in a group.
So the common denominator of 4, 8 and 12 would be 4, because 4 goes into all those numbers.
It would be negative.
Absolute value is basically asking how far away something is from 0.
So say you had a number, 7. 7's distance from 0 is 7, so it would still be 7.
However, when absolute value really plays in is negative numbers. If you had -7, the distance from 0 would still be 7. It wouldn't be -7, so the absolute value of -7 would be 7.
And a negative version of a number is always less than the positive number.
Hope this helped!
Answer:
The solution to the system is 
,
and 
Step-by-step explanation:
Cramer's rule defines the solution of a system of equations in the following way:
, 
and 
where 
, 
and 
are the determinants formed by replacing the x,y and z-column values with the answer-column values respectively. 
is the determinant of the system. Let's see how this rule applies to this system.
The system can be written in matrix form like:
![\left[\begin{array}{ccc}5&-3&1\\0&2&-3\\7&10&0\end{array}\right]\times \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}6&11&-13\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%26-3%261%5C%5C0%262%26-3%5C%5C7%2610%260%5Cend%7Barray%7D%5Cright%5D%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D6%2611%26-13%5Cend%7Barray%7D%5Cright%5D)
Then each of the previous determinants are given by:
Notice how the x-column has been substituted with the answer-column one.
Notice how the y-column has been substituted with the answer-column one.
Then, substituting the values:
