What is the answer to X+2y=6

1 answer:

3 0

$\text{Turn the equation into slope intercept form}\\\\\text{Slope intercept form: y = mx + b}\\\\\text{Solve:}\\\\x+2y=6\\\\\text{Subtract x from both sides}\\\\2y=-x+6\\\\\text{Divide both sides by 2}\\\\\boxed{y=-\frac{1}{2}x+3}$

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1. The function of lenses is based on the law of refraction. A light beam is traveling from the medium 1 where its speed is V1,

masha68 [24]

Answer:

The index of refraction for Medium 2 would be 1.25

Step-by-step explanation:

We have the following data:

Speed of light in Medium 1 = V₁

Speed of light in Medium 2 = V₂

The speed of Light in Medium 2 is related to speed of light in Medium 1 as:

V₂ = 0.8 V₁

Moreover, it is given that Medium 1 is air with index of refraction equal to 1. i.e.

n₁ = 1

We need to find the index of refraction for medium 2. Lets name it is as n₂.

Snell's law related the above mentioned 4 quantities by following relation:

The ratio of indices of refraction of 2 mediums is equivalent to the reciprocal of ratio of phase velocities in those 2 mediums. Mathematically, this can be written as:

$\frac{n_{1}}{n_{2}} = \frac{V_{2}}{V_{1}}$

Substituting the values we have gives us:

$\frac{1}{n_{2}}=\frac{0.8V_{1}}{V_{1}} \\\\\frac{1}{n_{2}}=0.8\\\\ 1=0.8n_{2}\\\\\frac{1}{0.8}=n_{2}\\\\ n_{2}=1.25$

This means, the index of refraction for Medium 2 would be 1.25

3 0

3 years ago

What is the determinant of the coefficient matrix of the system

Ad libitum [116K]

$\left[\begin{array}{ccc}-3&0&-2\\9&0&5\\6&0&-12\end{array}\right] \\D(system)= |-3|\left[\begin{array}{ccc}0&5\\0&-12\\\end{array}\right]-0 \left[\begin{array}{ccc}9&5\\6&-12\\\end{array}\right] +|-2| \left[\begin{array}{ccc}9&0\\6&0\\\end{array}\right] \\=3*0-0+0=0\\
determinant of system is 0$