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SSSSS [86.1K]
3 years ago
8

The frequency,f kilohertz of a radio wave is inversely proportional to its wavelength, Ym. The frequency of a radio wave that ha

s a wavelength of 3000m is 100 kHz. Find (i) The frequency of a radio wave that has a length of 500m (ii) The wavelength of a radio wave that has a frequency of 800kHz
Mathematics
1 answer:
diamong [38]3 years ago
5 0

Step-by-step explanation:

The frequency of a radio wave that has a wavelength of 3000m is 100 kHz

(a) Wavelength = 500 m

We know that,

f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{500}\\\\f=600\ kHz

(b) Frequency, f = 800 kHz

\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{800\times 10^3}\\\\\lambda=375\ m

Hence, this is the required solution.

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Rewrite it as a function and isolate y. ​
serious [3.7K]

Answer:

f(x) = -5x + 16

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y + 5x = 16

Step 2: Put into slope-intercept form

  1. Subtract 5x on both sides; y = -5x + 16

Step 3: Rewrite in function notation

f(x) = -5x + 16

5 0
3 years ago
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mart [117]

Answer:

y= -3x-6

Step-by-step explanation:

I believe this is correct

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1 year ago
The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) us
Yanka [14]

Answer:

The point is (7,0).

Step-by-step explanation:

The equation of a linear function in point-slope form is as follows :

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(x₁,y₁) are the coordinates of the point which  the line passes through it and (x,y).

Harold correctly wrote the equation y= 3(x–7)

or we can write it as :

y-0=3(x-7) ...(2)

Comparing equations (1) and (2), we get :

x₁ = 7 and y₁ = 0

So, the point is (7,0).

The correct option is (c).

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Write an equation in point slope form for the line on the graph
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3 years ago
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Answer:

c

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its c

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