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labwork [276]
3 years ago
5

Write in slope-intercept form an equation of a line that passes through the point (8, 2) that is perpendicular to the graph of t

he equation y=4x−3.
Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

y= -1/4 x + 4

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Answer:

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Step-by-step explanation:

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Tyler is paid time and a lovertime after 40 hours worked in a week. His hourly rate is $13/h. What is his
HACTEHA [7]

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3 years ago
Of all rectangles with a perimeter of 12 which one has the maximum area
Vika [28.1K]

The rectangle maximum area will be A=9 square units with the length=3 and the width=3.

<h3>What is area of rectangle?</h3>

Area is defined as the space occupied by a plane or rectangle having length and width in two dimensional plane.

It is given that the perimeter of rectangle is P=12

So from the formula of perimeter of rectangle

2(L+W)=12

L+W=6

L=6-W

Now the area of rectangle will be

A=LxW

A=(6-W)W

Now for maximum area we will find the derivative and equate to zero.

A=(6W-W^2})

A'=6-2W=0

W=3

L=6-W=6-3=3

So the area will be

A=3\times 3=9 \ square \ units

Hence the rectangle maximum area will be A=9 square units with the length=3 and the width=3.

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8 0
1 year ago
wyatt has a square garden. he adds 3 feet to one side and 1 foot to the other and now it is a rectangle with an area of ft^2 wha
amid [387]

Answer:

The new dimensions are 6 ft and 4 ft.

Step-by-step explanation:

Let x = side of original square.

The sides are increased by 3 ft and 1 ft, so the new side lengths of the rectangle are

x + 3 and x + 1

The area of the rectangle is length × width.

area = (x + 3)(x + 1)

area = x² + 4x + 3

The area is 24 ft².

x² + 4x + 3 = 24

x² + 4x - 21 = 0

(x + 7)(x - 3) = 0

x + 7 = 0 or x - 3 = 0

x = -7 or x = 3

x + 3 = 3 + 3 = 6

x + 1 = 3 + 1 = 4

The new dimensions are 6 ft and 4 ft.

5 0
2 years ago
A cylinder well has a volume of 80gal and height of 3 ft what is the radius
aleksandr82 [10.1K]

Answer is: r ≈ 1.07f

6 0
3 years ago
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