Answer:
- b (x, x - 3, 0)
- d Infinite Solutions
Step-by-step explanation:
1. A graphing calculator or any of several solvers available on the internet can tell you the reduced row-echelon form of the augmented matrix ...
![\left[\begin{array}{ccc|c}2&-2&-1&6\\-1&1&3&-3\\3&-3&2&9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D2%26-2%26-1%266%5C%5C-1%261%263%26-3%5C%5C3%26-3%262%269%5Cend%7Barray%7D%5Cright%5D)
is the matrix ...
![\left[\begin{array}{ccc|c}1&-1&0&3\\0&0&1&0\\0&0&0&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D1%26-1%260%263%5C%5C0%260%261%260%5C%5C0%260%260%260%5Cend%7Barray%7D%5Cright%5D)
The first row can be interpreted as the equation ...
x -y = 3
x -3 = y . . . . . add y-3
The second row can be interpreted as the equation ...
z = 0
Then the solution set is ...
(x, y, z) = (x, x -3, 0) . . . . matches selection B
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2. The second equation is 2 times the first equation, so the system of equations is dependent. There are infinite solutions.
Step-by-step explanation:
The slope of the prependicular line is the negative reciporal of the original line's slope.
For slope 2/5
Slope of prependicular line is -5/2
hope this helped you understand it.
Answer:
Step-by-step explanation:
Use Pythagorean theorem.
Hypotenuse² = base² + altitude²
5) x² = 12² + 6²
= 144 + 36
x² = 180
x = √180
x = 13.42 ft
6) 25² = x² + 19²
625 = x² + 361
625 - 361 = x²
x² = 264
x = √264
x = 16.25 m
7) x² = 7² + 576
= 49 + 576
= 625
x = √625
x = 25 in
8) 2.5² = 2²+ x²
6.25 = 4 + x²
6.25 - 4 = x²
x² = 2.25
x = √2.25
x = 1.5 yd
9x - 4 = -44
•add 4 to both sides to isolate the variable
9x = -40
•divide both sides by 9 to isolate the variable
x = -40/9 or −4.444...
Answer:
5 1/4
Step-by-step explanation:
