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vampirchik [111]
4 years ago
9

Which ordered pair is the best estimate for the solution of the system of equations? y = −1/5x + 1 y = x + 4

Mathematics
1 answer:
SVEN [57.7K]4 years ago
7 0
Given system of equation:
y=-1/5x +1 Equation 1
y=x+4 Equation 2
Substitute value of y in equation 2.
x+4=-1/5x+1
Multiply both sides by 5.
5x+20=-x+5
Add x to both sides
6x+20=5
Subtract 20 from both sides
6x=-15
x=-15/6
x=-5/2
Now substitute value of x in equation 1.
y=-1/5 ( -5/2) +1
y=1/2+1
y=3/2

Solution is (x,y)= (-5/2 , 3/2)
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  A = √29

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The short of it is that ...

  A² = 2² + 5² = 29

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<u>Amplitude</u>

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  Asin(ωt +φ) = Asin(ωt)cos(φ) +Acos(ωt)sin(φ)

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  c₁ = 5 = Asin(φ)

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  (c₁)² +(c₂)² = A²

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<u>Phase Shift</u>

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* remember that c₁ is the coefficient of the cosine term, and c₂ is the coefficient of the sine term.

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