For no solutions, put a = b = c = -1, for exactly one solution, put a = 1 and b = c = 0 and for infinite solutions, put a = b = c = 5 in the system of linear equations.
We have the system of equations:
x + y + z = 2 …(1)
a x + b y + c z = 10 …(2)
x - 2 y + z = 4 …(3)
a. The system has no solution.
Put a = b = c = -1 in (2)
We get:
- x - y - z = 10
Now add (1) and (2)
0 = 12
which is not possible.
So, no solution.
b. The system has exactly one solution.
a = 1 and b = c = 0
We have the equations as:
x + y + z = 2 …(1)
x = 10 …(2)
x - 2 y + z = 4 …(3)
c. The system has infinitely many solutions.
a = b = c = 5
We will have the equations:
x + y + z = 2 …(1)
5 x + 5 y + 5 z = 10 …(2)
x - 2 y + z = 4 …(3)
Therefore, we get that, for no solutions, put a = b = c = -1, for exactly one solution, put a = 1 and b = c = 0 and for infinite solutions, put a = b = c = 5 in the system of linear equations.
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Answer:
70
Step-by-step explanation:
The % itself stands for a ratio of 100, so 70% would be 70/100
Answer:
81
Step-by-step explanation:
The turning angle is not affected by how long the robot moved.
We need to consider only the turning degrees from facing North to facing South, which is 180 degrees.
x = 180 - 44 - 55 = 81
Find the least common multiple of 3 and 5:
3: 3,6, 9,12,15,18,21
5: 5, 10, 15, 20
The least common multiple is 15. This means every 15 days they will be the same day.
Add 15 days to May 5:
5 + 15 = 20
The next day would be May 20