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vesna_86 [32]
3 years ago
11

The length of a rectangular floor is 2 feet more than the width. The area of the floor is 168 square feet. Kim wants to use a ru

g in the middle of the room leave a 2 foot border of the floor visible on all sides. What should the width of the rug be?
Mathematics
1 answer:
defon3 years ago
4 0
The area of the rectangular is expressed in the formula A = l*w where l is the length and w is the width. from the first satement, l = 2  + w; then A = (2+w)*w = 2w + w^2. If A is equal to 168, then w should be equal to 12 feet and l is equal to 14 feet. Hence the width due to the border limits is 12- 2*2 equal to 8 feet
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HELP! ASAP!
Novosadov [1.4K]

Step-by-step explanation:

Part A:

So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)

v = x(4-2x)(8-2x)

Part B:

The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation

so for the x in front it must be greater than 0 to make sense

for the (4-2x), the x must be less than 2 or else the width is  negative.

for the (8-2x) the x must be less than 4 or else the length is negative

so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0

By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317  

5 0
2 years ago
Questions in the picture
mezya [45]
The answer for the question is 11:45
4 0
2 years ago
FInd the distance between the points (9,3) and (1,9)
BARSIC [14]

Answer:

=10

Step-by-step explanation:

1: Add the numbers

2: Factor the numbers

3: Apply radical rule

Answer: =10

<u><em>Hope this helps.</em></u>

3 0
3 years ago
This Question: 1 pt
katrin2010 [14]

Answer:

No Solution.

Step-by-step explanation:

x+y=8

y=3-x

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

x+(3-x)=8

x+3-x=8

x-x+3=8

0+3=8

3=8

no solution

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The answer is that they are the same height hope that helped and have a good day
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3 years ago
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