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3 years ago

Write the slope-intercept form for the equation of a line parallel to y = -9 and passes through the point (12, -5)

Mathematics

1 answer:

shepuryov [24]3 years ago

8 0

Answer:

Let's see what to do buddy...

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Step-by-step explanation:

_________________________________

STEP (1) :

The slope of the line y = - 9 is 0(zero) because it is a Horizontal line.

So the slope of the line which is parallel to y = -9  is zero .

_________________________________

STEP (2) :

We have this equation to find the slope-intercept form of the linear functions :

$y - y(given \: point) = (slope) \times ( \: x -x(g \: p) \: ) \\$

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STEP (3) :

Now it is time to put the slope and the given point in the equation :

given point = ( 12 , -5 )

slope = 0 

$y - ( - 5) = 0 \times (x - 12) \\ \\ y + 5 = 0 \\ \\ y = - 5$

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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3 years ago

A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t

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Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field= $1500000$ square ft

Area of rectangular field= $l\times b$

Area of rectangular field= $x\time y$

$1500000=xy$

$y=\frac{1500000}{x}$

Fencing used ,P(x)= $x+x+y+y+y=2x+3y$

Substitute the value of y

P(x)= $2x+3(\frac{1500000}{x})$

$P(x)=2x+\frac{4500000}{x}$

Differentiate w.r.t x

$P'(x)=2-\frac{4500000}{x^2}$

Using formula: $\frac{dx^n}{dx}=nx^{n-1}$

$P'(x)=0$

$2-\frac{4500000}{x^2}=0$

$\frac{4500000}{x^2}=2$

$x^2=\frac{4500000}{2}=2250000$

$x=\sqrt{2250000}=1500$

It is always positive because length is always positive.

Again differentiate w.r.t x

$P''(x)=\frac{9000000}{x^3}$

Substitute x=1500

$P''(1500)=\frac{9000000}{(1500)^3}>0$

Hence, fencing is minimum at x=1 500

Substitute x=1 500

$y=\frac{1500000}{1500}=1000$

Length of rectangular field=1500 ft

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Substitute the values

Shortest length of fence used= $2(1500)+3(1000)=6000 ft$

Hence, the shortest length of fence that the rancher can used=6000 ft

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