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
Mekhanik [1.2K]
3 years ago
11

You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

ea? What will the total area be for the garden? Find the length, width, and area of your garden that will maximize its total area.
Length:
Width:
Area:

Mathematics
1 answer:
Verizon [17]3 years ago
6 0

Answer:

Length=10.5\ ft

Width=10.5\ ft

Area=110.25\ ft^{2}

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

P=2(x+y)

we have

P=42\ ft

so

42=2(x+y)

simplify

21=(x+y)

y=21-x------> equation A

Remember that the area of rectangle is equal to

A=xy ----> equation B

substitute equation A in equation B

A=x(21-x)

A=21x-x^{2}----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point (10.5,110.25)

see the attached figure

so

x=10.5\ ft

Find the value of y

y=21-10.5=10.5\ ft

The garden is a square

the area is equal to

A=(10.5)(10.5)=110.25\ ft^{2} ----> is equal to the y-coordinate of the vertex is correct

You might be interested in
Earn 100 points for this question and a brainiest
padilas [110]

Answer:

the answer is C

Step-by-step explanation:

\frac{7}{7}  -  \frac{4}{7}  +  \frac{2}{7}

6 0
3 years ago
Read 2 more answers
Simplify the following expressions. All answers should be in standard form.
Ratling [72]

Answer:

The given expression in simplified form is: 15x^2+10x

Step-by-step explanation:

Simplifying the expression involve reducing the number of terms to minimum and making the expressions in standard form.

This may involve addition, subtraction and multiplication of variables.

Given expression is:

5x(3x+2)

Distributing 5x will give us:

= 5.3.x.x + 5.2.x\\=15x^2+10x

Hence,

The given expression in simplified form is: 15x^2+10x

6 0
3 years ago
if a computer can perform an addition operation in 1.5 x 10 to the power of negative 6 seconds how long will it take to perform
aksik [14]

Answer:

Step-by-step explanation:

x2 + y2 + 36 A.) y is a function of x B.) y is not a function of x

1. Evaluate the expression. (-7)²

if a computer can perform an addition operation in 1.5 x 10 to the power of negative 6 seconds how long will it take to perform 1500 such operations.​

If the coordinates of vertex A are (-7,3) what are the coordinates of vertex A’

A 2 metros de la base de una torre, vemos su bandera a 5,39 metros en línea recta. ¿Cuál es la altura de la torre si la bandera mide 1 metro?

The sum of the first apt term of the prog eSirn , 15-18-5-12-​

k is the midpoint of pq. p has coordinates (-9,-4) and k has coordinates (-1,6). what are the coordinates of Q?

8.EE.5 Compare the following graph and table to determine which object is moving at a greater speed and explain your answer.

Problem Mr. Thompson runs his own printing and bookbinding business. He suspects that the machine isn't putting enough glue into the book spines and …

Determine if the relation is a function. (2,3) (5,6) (-7, 6) (-4,9) A)Function B) Not a function

free points for whoever wants them. Have a Great Day. God Bless You

Find the value of the variable for the figure below. The sum of the angle measure is 360°​

add 31g+22 and -13g+17

You rent a car and are offered 2 payment options. You can pay $25 a day plus $0.15 a mile (Option A) or you can pay $10 a day plus $0.40 a mile (Optio…

The cities M, N and O, in respective order, lie approximately in a straight line. The distance from city M to city N is 45 miles.  The distance from …

15+b=23 what’s the answer

What percent of drivers surveyed about their current vehicle new and will buy a new vehicle again next time?

The graph below could be which exponential function? 20 15 10 -15 -10 -5 A. F(x) = (10)* O B. F(x) = 10(2.5)* O C. F(x) = 1(2) 10x D. F(x) =…

Alyssa accepted a new job at a company with a contract guaranteeing annual raises. Alyssa will get a raise of $4000 every year and had a starting sala…

In one​ year, the total amount of garbage generated in a certain country was 7.036x10^9 pounds. . In the same​ year, the​ country's population was 2.7…

Answering Streak

Your Streak is on! Answer

3 0
3 years ago
SOMEONE HELP ME PLZ ASAP!!!!​
Elanso [62]

A=22cm

B=21cm

C=23cm

Good luck

4 0
3 years ago
What is the answer? 3(x-5)+2(x-1)
777dan777 [17]
3x-15+2x-2
=5x-17
use the distribution property
5 0
3 years ago
Other questions:
  • Function rule and y intercept
    7·1 answer
  • Which equation represents the situation?
    12·1 answer
  • Jonas wrote 9+8 =17 what number sentence shows the commutative property of addition
    9·1 answer
  • 2.5 hours is equal to 2 hours and 30 minutes <br> True or false<br>​
    5·2 answers
  • just as a piece of wood that is 8 foot long he needs to cut pieces that are seven eighths of a foot long how many pieces will he
    14·1 answer
  • What is formula of sec(A+B)​
    12·1 answer
  • The variables x and y vary directly. Use the given values to write an equation that relates
    11·1 answer
  • If f(x) = 3x and g(x) = 3(8x), which of the following describes how the graph of g(x) is different from the graph of f(x)?
    6·1 answer
  • Nothing nothing nothing nothing
    10·2 answers
  • Answer:
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!