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
abruzzese [7]
3 years ago
9

The length of a rectangle is five less than its width. The area of the rectangle is 84 square feet. Write a quadratic equation i

n standard form, ax^2+bx+c=0
Mathematics
1 answer:
salantis [7]3 years ago
4 0

<u>Given</u>:

The length of a rectangle is 5 less than its width.

The area of the rectangle is 84 square feet.

We need to determine the quadratic equation in standard form that represents the area of the rectangle.

<u>Dimensions of the rectangle:</u>

Let l denote the length of the rectangle.

Let w denote the width of the rectangle.

Since, it is given that the length is 5 less than its width, it can be written as,

l=5-w and w=w

<u>Area of the rectangle:</u>

The area of the rectangle can be determined using the formula,

A=length \times width

Substituting A = 84, l=5-w and w=w, we get

84=(5-w)\times w

84=5w-w^2

Adding both sides of the equation by w², we have;

w^2+84=5w

Subtracting by 5w on both sides, we get;

w^2-5w+84=0

Thus, the quadratic equation in standard form for the area of the rectangle is w^2-5w+84=0

You might be interested in
Describe the slope of the line<br> Find the slope
Dmitry_Shevchenko [17]

Answer:

Question one: Zero slope
Question two: m=\frac{0}{4}

Step-by-step explanation:

Given the following questions:

<u>Question one:

</u>The following line is what you call a "zero slope." Zero slopes are lines that are neither decreasing or increasing and remain at a constant or just a straight line.

Question two:

Point A = (-2, -3) = (x1, y1)
Point B = (2, -3) = (x2, y2)

Using the formula for slope or rise over run we will solve and find the slope of this line.

m=\frac{y2-y1}{x2-x1}
m=\frac{-3--3}{2--2} =\frac{0}{4}
m=\frac{0}{4}

The slope of this line is "0/4."

Hope this helps.

8 0
2 years ago
(3ab-3a-8)-(-4ab-8) find the difference
sdas [7]
3ab - 3a - 8 + 4ab + 8
7ab -3a
6 0
3 years ago
6 1/2 - 7/8 : 5 11/16
Komok [63]

Answer:

Step-by-step explanation:

brainly.com/question/6752935

hope this helps

7 0
3 years ago
A bookstore bought a case of 10 books for a wholesale price of $74. The bookstore will sell the books at a 20% markup. How much
Darya [45]

Answer:

8.88 dollars so D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the y=mx+b of this?
pochemuha
I think it’s y=-1x+ -8 or could be written as y=-1x-8
3 0
3 years ago
Other questions:
  • I don't know how to do any of this
    14·1 answer
  • In the diagram below, O is circumscribed about quadrilateral ABCD. what is the value of x?​
    15·2 answers
  • Please help!!!<br><br> which ones apply, there may be more than one answer~
    15·1 answer
  • Find the Slope of a line that travels through (3, 7) and (6, 19)
    12·1 answer
  • NEED HELP ASAP PLEASEEEEE
    12·2 answers
  • Juan will spend $28 on gifts. So far, he has spent 16. What are the possible additional amounts he will spend?
    11·1 answer
  • Need help! only have today till I turn in!
    11·2 answers
  • What are the outputs of the function below?
    9·1 answer
  • Pls help due in 10 minutes!!!
    5·2 answers
  • Combine the radicals
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!