Answer:
(x, y, z) = (3, -1, -3)
Step-by-step explanation:
The attached graph shows a solution that involves solving the system of equations that results from substituting for z. The second equation is used to write an expression for z that is substituted into the first and third equations.
One of the things we observe in this solution is that substituting into the first equation effectively eliminates x and z, so we learn immediately that y=-1.
That is, subtracting the second equation from the first gives ...
(2x +8y +z) -(2x +y +z) = (-5) -(2)
7y = -7
y = -1
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The solution by graphing is (x, y, z) = (3, -1, -3).
For question 6, recall that a sinusoidal function is of the form
A*sin(ω*t + φ)
where A is the amplitude, ω the angular frequency (in units of radians/second), and φ the phase (in radians). The amplitude is the magnitude of the peaks and troughs, the angular frequency inversely proportional to the period (ω = 2*π/T - the 2*π being a normalizing factor), and the phase a value between 0 and 2*π that "shifts" the graph of the function accordingly.
For question 7, you are being asked to find the composite function obtained by applying g to f, which would be 
. The domain would be the values for which this function is defined, which, assuming it to be a subset of the real numbers, would be the interval (-∞, 3] (as the square root of a negative number is an imaginary number.
Answer:
-1
Step-by-step explanation:
it goes over -6 and up 6. so as a fraction it would be -6/6. but thats also equal to -1, so that is what you would put as your answer
Use cosine.
We have:
adjacent = 9cm and hypotenuse = 17 cm
It cancels out and gets 0
