A consistent system of equations has at least one solution.
A consistent system is considered to be an independent system if it has a single solution, such as the example we just explored. The two lines have different slopes and intersect at one point in the plane.
A consistent system is considered to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide so the equations represent the same line. Every point on the line represents a coordinate pair that satisfies the system. Thus, there are an infinite number of solutions.
Another type of system of linear equations is an inconsistent system, which is one in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no points common to both lines; hence, there is no solution to the system.
For more information on slopes click on the link below:
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In the given you wrote -2, whereas it should be -2i
z = a + bi and in trigo form | z |.(cos Ф + i.sin Ф).
z = 0 -2i → | z |.(cos Ф + i.sin Ф)
Now let's calculate z:
z² = a²+b² → z² = 0² (-2.i)² → z = -2(i)² →z= -2(-1) → z = |2|
tan Ф = b/a = -2/0 → tan Ф → - ∞ ↔ Ф = -90° or Ф = 270°
then the - 2 I ↔ |2|(cos 270° + i.sin 270°)
Answer:
34
Step-by-step explanation:
90-56=34
The final grade of fran can be calculated
by multiplying the corresponding percentage of his average homework, quizzes
and tests, then sum it up and it is now the final grade of fran.
Final grade = (0.10 x 92) + ( 0.20 x 68) +
(0.70 x 81)
<span>Final grade = 79.5 </span>
Answer:
x = 5
Step-by-step explanation:
1. Expand
8x - 5x + 5 = 20
2. Simplify
3x + 5 = 20
3. Subtract 5 from both sides
3x = 20 - 5
4. Simplify
3x = 15
5. Divide both sides by 3
x = 15/3
6. Simplify
x = 5
