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stiks02 [169]
3 years ago
11

What is an equation of the line that passes through the point (6,0) and is perpendicular to the line 3x+4y=20

Mathematics
1 answer:
My name is Ann [436]3 years ago
7 0

Answer:

The equation of the line is y = 4/3x - 8

Step-by-step explanation:

In order to find this, we first have to find the slope of the original line. We do this by solving for y.

3x + 4y = 20

4y = -3x + 20

y = -3/4x + 5

Now that we have the slope of -3/4 we can find the perpendicular slope. The perpendicular slope of any time is the opposite and reciprocal slope. So we flip -3/4 to get -4/3 and then we make it positive (4/3). Now that we have our new slope, we can input it along with the point into point-slope form to find the equation.

y - y1 = m(x - x1)

y - 0 = 4/3(x - 6)

y = 4/3x - 8

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Step-by-step explanation:

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3 years ago
There is `1/12 foot in one inch. Does the graph show the<br> relationship between feet and inches?
KiRa [710]

Answer:

Yes

Step-by-step explanation:

Given that there is ¹/12 foot in 1 inch, this can be interpreted as being the constant of proportionality for the relationship between feet and inches. This means, for the graph to be said to represent this relationship, the constant of proportionality, which is y/x must be ¹/12.

How do we know this? Check this out using the four points given on the graph.

(12, 1) => y/x = ¹/12

(24, 2) => y/x = ²/24 = ¹/12

(36, 3) => y/x = ³/36 = ¹/12

(48, 4) => y/x = ⁴/48 = ¹/12

As we can see, the graph represents the shows a relationship between feet and inches.

5 0
2 years ago
Find the equation of the line that has a slope of 3 and passes through (-1, 2)
Nadusha1986 [10]

Answer:

y= 3x+5

Step-by-step explanation:

start with the linear equation formula

y= mx+b

indentify what you already have.

x= -1 and y= 2 and m(slope)= 3

We are solving for b, so plug in what you have.

2= 3(-1)+b

Simplify.

2= -3+b

Add 3 on both sides.

5= b

Rewrite your equation with the x and y values.

y= 3x+5

4 0
3 years ago
Answer plz! I need help..
Svet_ta [14]

Answer:

8 inches is the correct answer

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A local cell phone company charges $10.95 per month plus $0.15 per minute of anytime used.​
Korolek [52]

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1.6425

Step-by-step explanation:

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