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Slav-nsk [51]
3 years ago
11

10. Your Turn: Find the equation of a line that is perpendicular to y=2x+7, and passes through the point (-4, 7). SHOW YOUR WORK

*
Mathematics
1 answer:
agasfer [191]3 years ago
6 0
Alright, so since the slope of the perpendicular line is -1/(slope), we get (-1/2)=-1/2 and y=(-1/2)x + something. Plugging 7 in as y and -4 in as x, we get 7=(-1/2)(4)+something (let's make it a variable b), and multiplying it out we get 7=-2+b. Adding 2 to both sides, we get 7+2=9=b, so the perpendicular line equation is therefore y=(-1/2)x+b<span />
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Answer:

1256 cubic feet

Step-by-step explanation:

Cylinder formula- Pi x Radius squared x The height = the volume

The radius in this problem is 5, 5 squared is 25. 25 x 16= 400. And 400 x 3.14= 1256 cubic inches.

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4 years ago
A rectangular field is to be enclosed by a fence and divided
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Answer:

80000 square meters

Step-by-step explanation:

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perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

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area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

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If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

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area at b=200 is (800 - 400)*200 = 80000

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5 0
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The meaning of logarithm
gogolik [260]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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