Need help with question 15
1 answer:
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Option A and B are correct.
Step-by-step explanation:
We are given the following systems of equation:
We need to identify the action creates an equivalent system that will eliminate one variable when they are combined.
Checking the options:
a) Multiply the second equation by −2 to get −8x − 6y = −30
If we add equation(1) and the new equation(2) the variable y will be eliminated. So, this is the correct option.
b) Multiply the first equation by 2 to get 4x + 12y = 24.
If we subtract new equation(1) and equation(2), the variable x will be eliminated. So, this is the correct option.
c) Multiply the second equation by −4 to get −16x − 12y = −60
By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.
d) Multiply the first equation by −4 to get −8x − 24y = −48.
By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.
So, Option A and B are correct.
Keywords: Solve System of equations
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Answer:
θ = -33.69°
Step-by-step explanation:
For Φ>0 and Φ<0 (in general Φ≠nπ where n is an integer), sin(Φ) ≠ 0
Dividing both equations:
Therefore:
arctan(θ) = -2/3
θ = -33.69°
The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)
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