Answer:
a) Frequency remains constant
b) Wavelength remains constant
c) speed of the wave remains constant
d) Intensity decreases
e) amplitude of its electric field decreases
Explanation:
a) Frequency can be defined as the number of crests that pass a fixed point in the medium in unit time. It is the source of the wave that will determine the frequency. If the small source is changed to a bigger and faster one then the frequency will change. In our case, there is no change of source of wave, so the frequency remains constant.
b) The speed of of the wave is directly proportional to the wavelength. If we double the speed, the wavelength also doubles. Since the speed has not been doubled in our case, the wavelength will remain constant.
c) As indicated in b) since the wavelength is proportional to speed and it has not changed in our case, then the speed remains constant.
d) The intensity of a wave decreases as it moves further away from the source.
e) The intensity is related to the amplitude. Since the intensity decreases, the amplitude also decreases.
The simplified form of the given expression -4(5x-3)+12 would be 20x+24.
<h3>What is a simplification of an expression?</h3>
Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
Given;
-4(5x-3)+12
Open the bracket
-20x+12+12
Solve the like terms;
20x+24
Hence, the simplified form of the given expression -4(5x-3)+12 would be 20x+24.
Learn more about factorization of quadratic expression here:
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Perpendicular lines have opposite reciprocal slopes.
x = 4 has a slope of undefined since it is a vertical line.
It's undefined because 1/0 = undefined. We can't divide by 0.
The opposite reciprical of 1/0 is -0/1, which equals to 0.
Any line with a slope of 0 is:
y = 0x + b
y = b
This line goes through the point of (3, 5).
Since the equation starts with y = something, we have to use the y-value of the point it goes through. The point is in the form of (x, y).
5 is in the y-value.
<span>The equation of the perpendicular line is </span>y = 5<span>.</span>
Answer:
You can buy a maximum of 13 erasers/pencils.
Step-by-step explanation:
Your total is 20 dollars. The book cost 8.99, so you take away that amount from 20, getting you 11.01. You have $11.01 left. Then you divide your total (11.01) by the price of each eraser (0.79). This gets you 13.9367088608. Since thats not an even number, you have to round down because you don't want a broken pencil?eraser.
