A line passes through (1,1) , (-2,4) , and (6,n) . Find the value of n.

Answers

Answer 1

Answer:

Answer:

$n=-4$

Step-by-step explanation:

The line passes through the points $\left ( 1,1 \right ),\:\left ( -2, 4\right ),\:\left ( 6,n \right )$

We know that equation of a line passing through two given points $\left ( x_(1),y_(1) \right )$ and $[tex]y-1=(4-1)/(-2-1)\left ( x- 1\right )$ [/tex]

Here, $x_(1) =1, x_(2) =-2,y_(1) =1,y_(2) =4$

So, equation of the line is $y-1=(4-1)/(-2-1)\left ( x- 1\right )$

$y-1=(3)/(-3)\left ( x- 1\right )$

$y-1=-x+1$

$x+y=2$

So, the equation of the line is $x+y=2$ .

As, the point $(6,n)$ lies on the line, will satisfy the equation of the line.

$6+n=2\:\:\left [\because x=6,y=n\right ]$

$n=-4$

Hence, the value of n is $-4$ .

Answer 2

Answer: -4.

The equation for a line is y-y₁=m(x-x₁)
Using the following:
x₁= 1
x₂= -2
y₁= 1
y₂= 4

and slope, or m, is (x₂-x₁)/(y₂-y₁),

You can now fill out the equation!
y-(1)=-1(x-(1))
y= -x+2

And solve by substituting the 6, or x₃, into the equation to find the corresponding y value:

y= -(6)+2
y= -4

Therefore,
n=-4

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Answers

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The point at which a company's profits equal zero is called the company's break-even point. let R represent a company's revenue, let C represent the company's costs, and let x represent the number of units produced and sold each day.R(x)=12x
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Answers

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C ( x ) = 6.5 x + 22,000 ( cost )
a ) Break-even point : R ( x ) = C ( x )
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x = 4,000
b ) R ( x ) > C ( x )
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a) R=C implies 12x=6.5x + 22000, and then 12x - 6.5x= 22000, 5.5x= 22000, from where we find x = 22000 : 5.5, x=4000.

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Answers

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What two numbers add to -5 and multiply to 12?

Answers

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Miley music has a sale on music CDs all music CDs are discounted 15% Marianas receipt indicates that she saved $3 on her CD purchase what is the full price of her music CD before the discount

Answers

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Step-by-step explanation:

Let x be the original price of her music CD.

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At discount she saved = $3

So, According to question, our equation becomes

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0.15x= 3

x=$20

Hence, the original price of her music CD before discount is $20.

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