Answer:
the answer is a
Step-by-step explanation:
2x +2(x-4)=87
2x+2x-8=87
4x-8=87
4x=95
x=95/4
Answer:
$195.80
Step-by-step explanation:
44.50 x 4 = 178
178 x 10 = 17.80
178 + 17.80 = $195.80
2x+y-10=0
2x+y=10 ------------------->(1)
x-y-5=0
x-y=5------------------------>(2)
(1)+(2); 3x=15
x= 5
(x=5) substitute in (1); y=0
Answer:
1176π m³
Step-by-step explanation:
The formula for the volume of a cylinder is:
V = πr²h
Let's substitute the values given into this equation:
V = πr²h
V = (π)(14²)(6)
Solve:
V = (π)(14²)(6)
V = (π)(196)(6)
V = 1,176π
Therefore, the volume of the cylinder is 1176π cubic meters.
The augmented matrix of the system of equations is ![\left[\begin{array}{ccc}-2&2&-1\\-3&-1&1\\-1&3&-2\end{array}\right] \left[\begin{array}{c}13&7\\0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%262%26-1%5C%5C-3%26-1%261%5C%5C-1%263%26-2%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D13%267%5C%5C0%5Cend%7Barray%7D%5Cright%5D)
<h3>How to determine the augmented matrix?</h3>
The system of equations is given as:
-2x + 2y - z = 13
-3x - y + z = 7
-x + 3y - 2z = 0
Remove the variables x, y and z
-2 2 -1 13
-3 -1 1 7
-1 3 -2 0
Express as matrix
![\left[\begin{array}{ccc}-2&2&-1\\-3&-1&1\\-1&3&-2\end{array}\right] \left[\begin{array}{c}13&7\\0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%262%26-1%5C%5C-3%26-1%261%5C%5C-1%263%26-2%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D13%267%5C%5C0%5Cend%7Barray%7D%5Cright%5D)
Hence, the augmented matrix of the system of equations is ![\left[\begin{array}{ccc}-2&2&-1\\-3&-1&1\\-1&3&-2\end{array}\right] \left[\begin{array}{c}13&7\\0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%262%26-1%5C%5C-3%26-1%261%5C%5C-1%263%26-2%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D13%267%5C%5C0%5Cend%7Barray%7D%5Cright%5D)
Read more about augmented matrix at:
brainly.com/question/10921509
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<u>Complete question</u>
Write the augmented matrix of the system of equations given below. (10 points)
-2x + 2y - z = 13
-3x - y + z = 7
-x + 3y - 2z = 0