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Hunter-Best [27]
3 years ago
15

A grocery store sells a 6-pack of bottle water for 3.79 a 9-pack for 4.50 and a 12-pack for 6.89 which package cost the least pe

r bottle
Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0
6p=3.79, p=(3.79/6), p=0.63
9p=4.50, p=(3.5/9), p= 0.50
12p=6.89, p=(6.89/12), p=0.57
9-pack is 50cents, cheaper than the other two options.
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What is an equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 ?
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Answer:

The equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 is

6x+y=-5

Step-by-step explanation:

Given:  

Let,  

point A( x₁ , y₁) ≡ ( -2 , 7)

To Find:  

Equation of Line  that passes through the point (-2,7) and is perpendicular to the line x-6y=42=?  

Solution:  

x-6y=42    ..................Given

which can be written as

y=mx+c

Where m is the slope of the line

∴ y=\dfrac{x}{6}-7

On Comparing we get

Slope = m = \dfrac{1}{6}

The Required line is Perpendicular to the above line.

So,

Product of slopes = - 1

m\times m_{1}=-1\\Substituting\ m\\ \dfrac{1}{6} m_{1}=-1\\\\m_{1}=-6

Slope of the required line is -6

Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,  

i.e equation in point - slope form

(y-y_{1})=m(x-x_{1})

Now on substituting the slope and point A( x₁ , y₁) ≡ ( -2, 7) and slope = -6 we get

(y-7)=-6(x--2)=-6(x+2)=-6x-12\\\\\therefore 6x+y=-5.......is\ the required\ equation\ of\ the\ line

The equation of the line that passes through the point (-2,7) and is perpendicular to the line x-6y=42 is

6x+y=-5

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