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
Given that CFE = CFA, CFB = 68, and EFD = 62, find the measure of AFD HURRY PLEASE, IM TIMED!!!
Margarita [4]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Ava is 4 years younger than Eli. The sum of their ages is 30. How old is Eli?
Damm [24]
Eli is 17 years old because 17-4=13
and 17+13=30
5 0
3 years ago
How many thousands are in 5,000 ones
Iteru [2.4K]
5 thousands in 5,000 ones.
3 0
3 years ago
Read 2 more answers
HELP! HELP! plz help me. look at pic.
taurus [48]

Answer:

Hi! I'll help ya...

8(.75) + 4(3.00)

6 + 12

= 18

$18 is your answer.

I hope this helps you!

-Mikayla

3 0
3 years ago
Mark is building a custom wooden frame around his flower bed. The length of the frame is 5.45 feet ,and the width of the frame i
LUCKY_DIMON [66]

Answer:

17.84875

Step-by-step explanation:

5.45 x 3.275 = 17.84875

8 0
3 years ago
Other questions:
  • Compare. Write &lt;, &gt;, or =<br>1.538 and 1.54​
    15·1 answer
  • Please help with this probability question and if you could explain how to get the answer in order for me to understand!
    5·1 answer
  • Paula collected 75 stickers. She shares her stickers with 5 of her friends equally. How many stickers will each get?
    5·1 answer
  • A city manager wants to add a playground in a new city park. The rectangle below represents the plan for the dimensions of the r
    15·1 answer
  • A triangle has 40 on one side and 60 on the other what is the third angle
    12·1 answer
  • D is reflection over y axis
    13·2 answers
  • A country's population in 1992 was 72 million. In 1998 it was 76 million. Estimate the population in 2012 using the exponential
    7·1 answer
  • Jenn uses 6 cups of flour to bake 40 muffins. How many muffins can she can bake if she has 15 cups of flour?
    6·2 answers
  • Which expression is w\equivalent to ???<br> HELP PLEASE <br> A<br> B<br> C<br> D
    5·1 answer
  • how could we graphically visualize the relationshio between the age of a used car and the selling price if a used car
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!