Answer:
it's c
Step-by-step explanation:
Take 180 and subtract the sum of the two given angle, the answer is 62
<span>What is the y-intercept of the plane whose equation is 4x + 5y + z = 20?
(0, 4, 0)
Which equation has intercepts at X(1, 0, 0), Y(0, 1, 0), and Z(0, 0, 2)?
2x + 2y + z = 2
Which equation is equivalent to x + 3y + z = 3?
4x + 12y + 4z = 12
Which of the following points lies in the plane 3x + 2y + 4z = 12?
(4, 3,2)
Hope these answer the questions. Have a nice day.</span>
Answer:
1. Consistent equations
x + y = 3
x + 2·y = 5
2. Dependent equations
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
x + 2 = 4 and x + 2 = 6
5. Independent equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
4 = 2
7. One solution
3·x + 5 = 11
x = 2
Step-by-step explanation:
1. Consistent equations
A consistent equation is one that has a solution, that is there exist a complete set of solution of the unknown values that resolves all the equations in the system.
x + y = 3
x + 2·y = 5
2. Dependent equations
A dependent system of equations consist of the equation of a line presented in two alternate forms, leading to the existence of an infinite number of solutions.
3·x + 2·y = 6
6·x + 4·y = 12
3. Equivalent equations
These are equations with the same roots or solution
e.g. 9·x - 12·y = 6
3·x - 4·y = 2
4. Inconsistent equations
Inconsistent equations are equations that are not solvable based on the provided set of values in the equations
e.g. x + 2 = 4 and x + 2 = 6
5. Independent equations
An independent equation is an equation within a system of equation, that is not derivable based on the other equations
y = -8·x + 4
8·x + 4·y = 0
6. No solution
No solution indicates that the solution is not in existence
Example, 4 = 2
7. One solution
This is an equation that has exactly one solution
Example 3·x + 5 = 11
x = 2
Answer:
24
Step-by-step explanation:
18+12-6
