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Afina-wow [57]
3 years ago
11

Solve for x. Simplify completely. x^2+4x+4=8

Mathematics
1 answer:
velikii [3]3 years ago
5 0
X^2+4x+4=8
-8                -8
subtract 8 from both sides 

x^2+4x-4=0

now factor using quadratic formula
ax^2+bx+c=0

x= -b +-[ (sqrt (b^2-4ac))/2a ]

x=-2(1+sqrt(2))


x= 2(sqrt(2) -1)

hope that helps, hopefully you know how to plug and chug into quadratic formula. if not you can ask for help


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Apply the junction rule to the junction labeled with the number 1 (at the bottom of the resistor of resistance R2R2R_2). Answer
Ira Lisetskai [31]

Answer:

-I₁ + I₂ + I₃ = 0

I₁ = I₂ + I₃

Step-by-step explanation:

The image of the circuit is obtained online and attached to the question.

The junction rule is essentially a law of conservation of current (charges). It applies to electrical circuits at steady state.

It explains that the for any given junction (node in an electrical circuit), the sum of current entering the junction is equal to the sum of current leaving the junction. That is, the net sum of current at any junction is zero.

Current entering a junction is assigned a positive sign and that leaving the junction is assigned a negative sign.

Σ I = 0

From the image of the circuit attached, I₁ is leaving the junction labelled number 1 and I₂ and I₃ are entering the junction.

Hence,

-I₁ + I₂ + I₃ = 0

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5 0
3 years ago
To find the extreme values of a function​ f(x,y) on a curve xequals​x(t), yequals​y(t), treat f as a function of the single vari
pychu [463]

Answer:

Absolute maximum is 2  

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Step-by-step explanation:

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By the chain rule:

f'(t)=\frac{\frac{dy}{dt} }{\frac{dx}{dt} }

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At fixed points, f'(t)=0

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This gives t=\frac{\pi}{2} ,\frac{3\pi}{2} on 0\le t\le 2\pi

This implies that the extreme points are (2\cos \frac{\pi}{2}, 2\sin \frac{\pi}{2})=(0,2) and (2\cos \frac{3\pi}{2}, 2\sin \frac{3\pi}{2})=(0,-2)

By eliminating the parameter, we have x^2+y^2=4

This is a circle with radius 2, centered at the origin.

Hence (0,2) is an absolute maximum ,at t=\frac{\pi}{2} and (0,-2) is an absolute minimum at  t=\frac{3\pi}{2}

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3 years ago
D + 4/3 = -1/3<br> find d.
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Answer:

d= -5/3

Step-by-step explanation:

d + 4/3 = -1/3

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