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Nuetrik [128]
3 years ago
11

the perimeter of a rectangle is 74 feet. the length of the rectangle is 3 feet less than 4 times the width. what is the width of

the rectangle in feet?
Mathematics
1 answer:
Dima020 [189]3 years ago
6 0
74= 2l+2w
l=4w-3

Substitute the l value
74= 2(4w-3)+2w
74= 8w-6+2w
74=10w-6
80=10w
8=w

Final answer: 8 ft

To check, find length and plug values in
l= 4w-3
l=4(8)-3
l=32-3
l=29

74=2(29)+2(8)
True
29= 4(8)-3
True
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Find the value of x if DE is the midsegment of triangle ABC and
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Answer

Find out the value of x.

To prove

Definition of mid- segment

It is a segment connecting the midpoints of two sides of a triangle.

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As shown in the triangle given below.

As given

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8 0
3 years ago
Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.
vekshin1

Answer:

(a) l = -w + 21

(b) Domain: 0 <em>(See attachment for graph)</em>

(c) f(w) = -w + 21

Step-by-step explanation:

Given

2(l + w) = 42

l = length

w = width

Solving (a): A function; l in terms of w

All we need to do is make l the subject in 2(l + w) = 42

Divide through by 2

l + w = 21

Subtract w from both sides

l + w - w = 21 - w

l  = 21 - w

Reorder

l = -w + 21

Solving (b): The graph

In (a), we have:

l = -w + 21

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be 0

--------------------------------------------------------------------------------------------------

To check this

When w = 1

l = -1 + 21

l = 20

(w,l) = (1,20)

When w = 20

l = -20 + 21

l = 1

(w,l)= (20,1)

--------------------------------------------------------------------------------------------------

<em>See attachment for graph</em>

<em></em>

Solving (c): Write l as a function f(w)

In (a), we have:

l = -w + 21

Writing l as a function, we have:

l = f(w)

Substitute f(w) for l in l = -w + 21

l = -w + 21 becomes

f(w) = -w + 21

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3 years ago
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Answer:  (5/1, -3)

Hope this helps :)

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2 years ago
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