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Olenka [21]
3 years ago
11

Write the equation of the line that passes through the point (1,-1) and has a slope of -4

Mathematics
1 answer:
Phantasy [73]3 years ago
3 0

Answer:

y= -4 x+3

Step-by-step explanation: A(1, -1)

the equation is y - y (A)=m*( x-x(A) )

y-(-1)=-4(x-1)

y+1=-4x+4

y= -4x+4-1

y=-4x+3

y=-4x+4-1

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A rancher has 200 feet of fencing to enclose two adjacent corrals
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Answer:

a) Each corral should be 33⅓ ft long and 25 ft wide

b) The total enclosed area is 1666⅔ ft²

Step-by-step explanation:

I assume that the corrals have identical dimensions and are to be fenced as in the diagram below

Let x = one dimension of a corral

and y = the other dimension

 

(a) Dimensions to maximize the area

The total length of fencing used is:

4x + 3y = 200

4x = 200 – 3y

x = 50 - ¾y

The area of one corral is A = xy, so the area of the two corrals is

A = 2xy

Substitute the value of x

A = 2(50 - ¾y)y

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This is the equation for a downward-pointing parabola:

A = (-³/₂)y² + 100y

a = -³/₂; b = 100; c = 0

The vertex (maximum) occurs at  

y = -b/(2a)  = 100 ÷ (2׳/₂) = 100 ÷ 3 = 33⅓ ft  

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4x = 100  

x = 25 ft

Each corral should measure 33⅓ ft long and 25 ft wide.

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The enclosed area is 50 ft long and 33⅓ ft wide.

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3 years ago
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