1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nalin [4]
2 years ago
10

An enclosed area is designed using one existing wall, and 72m of fence material. What is the maximum area of the enclosure?

Mathematics
1 answer:
Lunna [17]2 years ago
3 0

Answer:

The maximum area possible is 648 squared meters.

Step-by-step explanation:

Let the length of the existing wall be \ell.

And let the width of the fence be w.

The area of the enclosure will be given by:

A=w\ell

Since the area is bounded by one existing wall, the perimeter (the 72 meters of fencing material) will only be:

72=2w+\ell

We want to maximize the area.

From the perimeter, we can subtract 2<em>w</em> from both sides to obtain:

\ell=72-2w

Substituting this for our area formula, we acquire:

A=w(72-2w)

This is now a quadratic. Recall that the maximum value of a quadratic always occurs at its vertex.

We can distribute:

A=-2w^2+72w

Find the vertex of the quadratic. Using the vertex formula, we acquire that:

\displaystyle w=-\frac{b}{2a}=-\frac{(72)}{2(-2)}=18

So, the maximum area is:

A=-2(18)^2+72(18)=648\text{ meters}^2

You might be interested in
Pls answer this for brainly
zimovet [89]

Answer:

54

Step-by-step explanation:

x-1=3

2xy=24

3+24=27

27·2=54

4 0
3 years ago
Read 2 more answers
Solve the system of equations. <br><br> y=x+5 <br><br> y=-x+7
spin [16.1K]

Answer:

(1,6)

x = 1, y = 6

See attachment for the graph

Step-by-step explanation:

y=x+5  

y=-x+7

Using the elimination process

     y=x+5  

-     y=-x+7

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

     0=2x-2

     2=2x

      1=x

      x=1

Substitute x = 1

y = x + 5

y = 1 + 5

y = 6

4 0
3 years ago
Read 2 more answers
Find the area of the figure below 8 inches, 5 inches
Daniel [21]

Answer:

ITS 40

Step-by-step explanation:its 8 because 8x5 is 40:5 10 15 20 25 30 35 40

4 0
2 years ago
A baby elephant weighs 1,400 pounds, which is 7,437 pounds less than her mother. Write an equation to express the weight of the
erica [24]
Let's say that y is the weight of the mother and x is the weight of the baby.
We know that the baby is 7437 pounds less than the mother, which means you need to add 7437 pounds to the baby's weight to get the mother's.
We can show it like this:
x+7437=y.
We know what the baby's weight is (1400 lbs), so just sub it in:
1400+7437=y
y=8837 lbs
The mom weighs 8837 pounds.
4 0
3 years ago
Which graph represents the function h(x) = -(x + 6)3 - 3?
katrin2010 [14]

Answer:

-8

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • A number is chosen at random from 1 to 25. Find the probability of selecting an odd number or multiple of 5.
    6·2 answers
  • Four whole numbers are each rounded to the nearest 10. The sum of the four rounded numbers is 90. What is the maximum possible s
    12·1 answer
  • Create a model to show that 2(2x+3y)=4x+6y
    6·1 answer
  • Plz help!!
    13·1 answer
  • Suppose you have data that shows that 12% of athletes test positive for steroids. You also know that 11% of athletes test positi
    13·2 answers
  • Whats the difference between an exponent and a base?
    6·1 answer
  • Can someone Please help me find the area of the square I already know the perimeter.
    7·1 answer
  • Simplify a-c when a=5 c= -1​
    15·2 answers
  • HELLPPPP LIKE ASAP PLEASE!! Each of these numbers represents the score that a student got on a set of math tests. What is the me
    14·2 answers
  • Once a delay or disability is diagnosed, the best thing to do is to continue to be a family’s knowledgeable and reliable partner
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!