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
mr_godi [17]
2 years ago
11

If a rectangle has an area of x^2+x-20 and a width of x-4, what is the length?

Mathematics
1 answer:
Mrac [35]2 years ago
4 0

Answer:

This (x - 5) represents the length of the rectangle.

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is A = L * W.

Here, the width is x - 4 and the area is x^2 + x - 20.  Dividing the width (x - 4) into the area results in an expression for the length:

x - 4  /   x^2 + x - 20

Let's use synthetic division here.  It's a little faster than long division.

If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:

4   /   1    1    -20

              4     20

    --------------------

         1     5     0

This synthetic division results in a remainder of 0.  This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor.  From the coefficients 1 and 5 we can construct the other factor:  (x - 5).  This (x - 5) represents the length of the rectangle.

You might be interested in
In a completely randomized design involving three treatments, the following information is provided:Treatment 1Treatment 2Treatm
Aliun [14]

Answer:

7.25

Step-by-step explanation:

Given :

___________ Sample size __ sample mean

Treatment 1 ____ 5 _______ 4

Treatment 2 ____ 10 ______ 8

Treatment 3 ____ 5 _______ 9

Sample size = (5 + 10 + 5). = 20

Overall mean = ((5*4). + (10*8) + (5*9)) / 20

Overall mean = (20 + 80 + 45) / 20

= 145 / 20

= 7.25

6 0
2 years ago
1st question: Reuben received 80 dollars. Write a signed number to represent this change.
lesya692 [45]

Answer:

1) +80

2) -1520

Step-by-step explanation:

Positive Signed numbers are used in real world situations to indicate the increase. Examples include; increase in weight, deposit of money into an account, increase in income, profit, height above sea level, etc. They are all represented by positive signed numbers.

Whereas, negative signed numbers show decrease. Examples include; loss of weight, withdrawal of money from an account, loans, liabilities, losses, temperature below zero degrees, height below sea level.

1) We are told that Reuben received 80 dollars. Thus, it means he received an increase in the amount of money he already had. Thus, the signed number will be +80.

2) We are told that A car corporation produced 1520 fewer cars this month than last.

Thus, the signed number will be negative since there is a decrease in number of cars.

Thus, signed number = -1520

7 0
2 years ago
Answer the question below
Kobotan [32]

Answer:There are 96 apples in the 12th bag.

Step-by-step explanation:

Firstly, you add the number of apples in the 11 bags.

6+28+16+27+10=87

If the mean number of apples in the 12 bags were 8, the total number of apples are 96.  

Using this info, we subtract 87 from 96 to 9.

Hence, there are 9 apples in the 12th bag.

8 0
3 years ago
Mr. Dash recorded the odometer
Ahat [919]

Answer:

  • $47.69

Step-by-step explanation:

<u>Total miles per trip:</u>

  • 23219.1 - 23125.6 = 93.5 miles

<u>Amount reimbursed:</u>

  • 93.5*$0.51 = $47.69
6 0
2 years ago
(-5.975)(16.59) muiltilpy
olga nikolaevna [1]

Answer:

-99.12525

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the square root of 1.69? show work ...?
    15·2 answers
  • Explain to me how you got the anwser
    5·2 answers
  • Help plz im sorry if im asking to many questions
    5·2 answers
  • The distance between troy city and Ben city is 315 miles. How far apart are they on the map. 2 in: 35 miles
    7·2 answers
  • Help with this math problem
    7·1 answer
  • I don’t get this..please help!
    14·1 answer
  • The legs of a right triangle have the following measurements: 5 and 10 inches. What is the length of the hypotenuse??
    6·1 answer
  • from an observer o, the angles of elevation of the bottom and the top of a flagpole are 40° and 45° respectively.find the height
    10·1 answer
  • Also I’m not really sure how to find the value of x for this any help would be lovely
    9·2 answers
  • Find the volume of a cone that has a radius of 14ft and a height of 18.9ft
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!