Can someone explain how to solve for x?
1 answer:
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<h3>Answer: C) 180 or 0</h3>
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Work Shown:
Let y = sin(x). Solve for y then solve for x
-4+6*sin(x) = -4+4*sin(x)
-4+6*y = -4+4*y ... replace sin(x) with y
6y-4y = -4+4
2y = 0
y = 0/2
y = 0
sin(x) = 0 ... plug in y = sin(x)
x = arcsin(0) or x = 180-arcsin(0)
x = 0 or x = 180
We have two solutions here since
sin(0) = 0 and sin(180) = 0
The solutions x = 0 and x = 180 fit in the interval
Answer:
- D = -2
- Dx = -4
- Dy = -2
Step-by-step explanation:
<u>System Determinant</u>
The determinant of the system is the determinant of the matrix of coefficients:
<u>X Determinant</u>
This is the determinant of the matrix with the x-coefficients replaced by the constants.
<u>Y Determinant</u>
This is the determinant of the matrix with the y-coefficients replaced by the constants.
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This problem didn't ask, but the solution is ...
x = Dx/D = -4/-2 = 2
y = Dy/D = -2/-2 = 1
(x, y) = (2, 1)