Answer: The system of equations is:
x + 2y + 2 = 4
y - 3z = 9
z = - 2
The solution is: x = -22; y = 15; z = -2;
Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.
The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a <u>Row</u> <u>Echelon</u> <u>Form,</u> which satisfies the following conditions:
- There is a row of all zeros at the bottom of the matrix;
- The first non-zero element of any row is 1, which called leading role;
- The leading row of the first row is to the right of the leading role of the previous row;
For this question, the matrix is a Row Echelon Form and is written as:
or in system form:
x + 2y + 2z = 4
y + 3z = 9
z = -2
Now, to determine the variables:
z = -2
y + 3(-2) = 9
y = 15
x + 30 - 4 = 4
x = - 22
The solution is (-22,15,-2).
Take any vector in
and apply the rotation transformation.
Take the norm of the transformed vector.thet
which is exactly the norm of
.
Answer:
12x^2 -5x - 3
Step-by-step explanation:
( 4x - 3)( 3x + 1 )
distribute
12x^2 + 4x - 9x - 3
combine like terms
12x^2 - 5x - 3
Hope this helps!!!
Answer:
(2 , 0)
(1 , 0)
(4 , 0)
(0, -8)
Step-by-step explanation:
f(x) = x³ -7x² + 14x - 8
The y intercept occurs when x = 0.
This means the first three terms all go to zero an the result is y = -8
As we are given one factor, (x - 4), we know that one zero will occur when this factor is zero
x - 4 = 0
x = 4
taking out the x - 4 term from the quadratic
x³ -7x² + 14x - 8 = (x² ± Cx + 2)(x - 4)
we can see that
2x ± 4Cx = 14x
±4C = 12
C = 12/±4 = ±3
also
±Cx² - 4x² = -7x²
±C - 4 = -7
so C = -3
(x² - 3x + 2)
(x - 2)(x - 1)
x = 2
x = 1
Answer my answer is 9 :please give me brainliest
Step-by-step explanation:
You divide 6 by 2/3