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trasher [3.6K]
3 years ago
7

Consider each equation. is it the equation of the line that is parallel or perpendicular to y=3x+2? Select yes or no for a-c

Mathematics
1 answer:
Mkey [24]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 is in this form with slope m = 3

• Parallel lines have equal slope

• The slopes of perpendicular lines are negative reciprocals of each other

A

y = - \frac{1}{3} x - 8 has slope m = - \frac{1}{3}

3 and - \frac{1}{3} are negative reciprocals

This line is perpendicular to y = 3x + 2

B

y = 3x - 10 has slope m = 3

This line is parallel to y = 3x + 2

C

y = 2x + 4 has slope m = 2

This line is neither parallel nor perpendicular to y = 3x + 2


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1. A sine function has the following key features:
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Problem 1

See the attached image (figure 1)

16pi seems like a typo. I'm going to assume that it's a fraction and it is 1/(6pi)
f = 1/(6pi) = frequency
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b = 2pi/T = 2pi/(6pi) = 1/3
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The function is
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===============================================

Problem 2

See the attached image (figure 2) 

T = 12 is the period
a = 4 is the amplitude
b = 2pi/T = 2pi/12 = pi/6
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The function is
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===============================================

Problem 3

See the attached image (figure 3)

Period = 4pi
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b = 2pi/T = 2pi/(4pi) = 1/2 = 0.5
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The function is
y = a*sin(bx-c)+d
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===============================================

Problem 4

See the attached image (figure 4)

a = 10 which is half of the distance between the highest and lowest points
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===============================================

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See the attached image (figure 5)

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===============================================

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