The value of y in the system of equations is:

Mathematics

1 answer:

nirvana33 [79]3 years ago

5 0

Y=1
Explanation:
You have to plug 2+x into the y of the first equation. After you solve that you should get-1 as the answer for x so you plug -1 into the x of the second equation and the value of y would be 1.

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At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?

hichkok12 [17]

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

$d*sin(\theta) = m\lambda$

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle

At the first-order maximum (m=1) at 20.0 degrees we have:

$\frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342$

Now, to produce a second-order maximum (m=2) the angle must be:

$sin(\theta) = \frac{\lambda}{d}*m$

$\theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ}$

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.

I hope it helps you!

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3 years ago

What is the greatest factor of 60 and 75

Radda [10]

The greatest factor of 60 and 75 is 15.

Reasoning: I found the factors and prime factorization of 60 and 75. The biggest common factor number is the GCF number. So the greatest common factor 60 and 75 is 15.

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3 years ago

Read 2 more answers

What’s the correct answer for this question?

Helen [10]

Answer:

( -1 , 1 )

Step-by-step explanation:

(x1,y1) = (5,9)

(x2,y2) = (-7,-7)

=(-7+5/2 , -7+9/2)

= (-1,1)