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andriy [413]
3 years ago
7

Help me please I don’t understand how to find the parallel or perpendicular

Mathematics
1 answer:
andreev551 [17]3 years ago
5 0
  • Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept

So remember that <u>parallel lines have the same slope,</u> while <u>perpendicular lines have slopes that are negative reciprocals to each other.</u> But first, we have to find out the slope of the original equation. The easiest method to find the slope is to convert this standard form equation to slope-intercept form.

Firstly, subtract 6x on both sides of the equation: -4y=-6x-3

Next, divide both sides by -4 and your slope-intercept form is y=\frac{3}{2}x+\frac{3}{4}

Now, looking at our slope-intercept form we see that the slope of the original equation is 3/2. Using what we know about parallel and perpendicular lines, <u>the slope of a parallel line is 3/2 and the slope of a perpendicular line is -2/3</u>

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Answer:

The speed of a wave depends on the characteristics of the medium. For example, in the case of a guitar, the strings vibrate to produce the sound. The speed of the waves on the strings, and the wavelength, determine the frequency of the sound produced. The strings on a guitar have different thickness but may be made of similar material. They have different linear densities, where the linear density is defined as the mass per length,

μ

=

mass of string

length of string

=

m

l

.

In this chapter, we consider only string with a constant linear density. If the linear density is constant, then the mass

(

Δ

m

)

of a small length of string

(

Δ

x

)

is

Δ

m

=

μ

Δ

x

.

For example, if the string has a length of 2.00 m and a mass of 0.06 kg, then the linear density is

μ

=

0.06

kg

2.00

m

=

0.03

kg

m

.

If a 1.00-mm section is cut from the string, the mass of the 1.00-mm length is

Δ

m

=

μ

Δ

x

=

(

0.03

kg

m

)

0.001

m

=

3.00

×

10

−

5

kg

.

The guitar also has a method to change the tension of the strings. The tension of the strings is adjusted by turning spindles, called the tuning pegs, around which the strings are wrapped. For the guitar, the linear density of the string and the tension in the string determine the speed of the waves in the string and the frequency of the sound produced is proportional to the wave speed.

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