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
Alex787 [66]
3 years ago
9

The rectangle below has a area x^2-x-72 square meters and a length of x+8 meters what expression represents the width of the rec

tangle
Mathematics
2 answers:
mixer [17]3 years ago
8 0
ANSWER

w = (x - 8)

EXPLANATION

The given rectangle has area,

A = {x}^{2} - x - 72 \: {m}^{2}

It was given to us that, the length of the rectangle is l=(x+8)

To find the width, we need to factor, the expression for the area.

We split the middle term to get,

A = {x}^{2} - 9x + 8x- 72

We now factor by grouping;

A = x(x - 9) + 8(x- 9)

A = (x + 8)(x - 9)

We know that area of a rectangle is

A = l \times w

Hence the width of the rectangle is,

w = (x - 8)
Cerrena [4.2K]3 years ago
8 0
<h2>Hello!</h2>

The answer is:

The expression that represents the width of the rectangle is:

width=x-9

<h2>Why?</h2>

We know that the area of a rectangle is equal to:

A=length*width

We are given the function that represents the area of the rectangle and one of its sides, the length is equal to (x+8)

So, rewriting we have:

x^{2}-x-72 =(x+8)*width

The coefficients of the variables of the given function are:

x^{2}=1\\-x=-1

Now, to find the width, we need to find two numbers which its product gives as result "-72" and its addition gives as result the coefficient of the linear term of the function (x), its "-1".

Then,

We know that,

(-9)*(8)=-72\\-9+8=-1

So, the factors of the given function are:

x^{2}-x-72 =(x+8)*(x-9)

Since, we already know that the length corresponds to "x+8", we know that the width corresponds to "x-9".

Proving that the factors are right,

Applying the distributive property, we have:

(x+8)(x-9)=x^{2}-9x+8x-72=x^{2}-x-72

Hence, the equation is satisfied and we can conclude that:

length=x+8\\width=x-9

Have a nice day!

You might be interested in
Plsssssssssssssssssssssssss Help Asap
Sati [7]

Answer:

h(g(0)) = 1 - 3y^2 .

Step-by-step explanation:

8 0
3 years ago
What are the values?
zavuch27 [327]

The average of a set of numbers

Step-by-step explanation:

An Example: 4×3 gives you the value of 12.

6 0
3 years ago
Read 2 more answers
Which expression equals the sum 1+2+3+4+5+6..
otez555 [7]

Answer:

7 * 3

7+7+7

3+3+3+3+3+3+3

2+2+2+2+2+2+2+2+2+2+1

(2*10)+1

(10*1)+11....

...and so on

Step-by-step explanation:

I don't know what type of expression you are looking for

7 0
2 years ago
Put 0.6 as a percent
Tanya [424]

Answer:

6%

Step-by-step explanation:

8 0
2 years ago
4. What is the solution of the proportion 3 16 = 9 y ?
sammy [17]

answer:

5.33333333333

7 0
3 years ago
Other questions:
  • A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many
    10·1 answer
  • The volume of a cone is 1004.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the
    5·2 answers
  • The length of the sofa in justin house is 89 inches what is the metric equivalent in centimeters
    5·2 answers
  • An airplane takes off at an angle of 75° from its starting point. When the plane has traveled a total distance of 600 feet, its
    5·2 answers
  • Khan Academy sucks help plz
    14·2 answers
  • To find the height of a pole, a surveyor moves 180 feet away from the base of the pole and then, with his eyes (4 feet above the
    13·1 answer
  • What is the median?<br> 122235
    7·1 answer
  • If −15 + 3x = −7 + 5x, then 6x =_____?
    13·2 answers
  • Which of the following is NOT an example of a right angle?
    13·2 answers
  • Suppose a bank advertises that if you open a savings account with them you can double your money in 5 years. What annual rate ar
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!