Answer:
The answer to your question is 25 ft
Step-by-step explanation:
Data
height = 20 ft
leg = 15 ft
length of the line = ?
To solve this problem use the Pythagorean theorem.
Height = short leg = b
leg = long leg = a
length of the line = hypotenuse = c
- Substitution
c² = (20)² + (15)²
-Simplification
c² = 400 + 225
c² = 625
-Result
c =
c = 25 ft
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:
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).