Compare and contrast the difference between "simplify a fraction" and "simplify a radical."
1 answer:
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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).
Answer:
Answer in terms of a trigonometric function :
Answer in figures
Step-by-step explanation:
Consider the sketch attached below to better understand the problem.
Let x be the distance between point B and the base of the water tower.
From equation 2,
substituting the value of x into equation 1, we get
cross multiplying,
The height of the tower is in terms of the trig function "Tan"
The equation can simply be evaluated to get the answer in figures since the angles are given in the question
