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
VLD [36.1K]
3 years ago
8

The area of a rectangle is represented by x2 + 2x - 3. The width of the rectangle is x - 1. What is the length of the rectangle?

Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0

Answer:

Option A. x + 3

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = x² + 2x – 3

Width (W) = x – 1

Lenght (L) =?

The area of a rectangle is given by:

Area (A) = length (L) × Width (W)

A = L × W

With the above formula, we can obtain the lenght of the rectangle as follow:

Area (A) = x² + 2x – 3

Width (W) = x – 1

Lenght (L) =?

A = L × W

(x² + 2x – 3) = L(x – 1)

Divide both side by (x – 1)

L = (x² + 2x – 3) / (x – 1)

Please see attached photo for explanation

L = x + 3

Thus, the length of the rectangle is x + 3

You might be interested in
Answer 173.22÷4 and use long division to show work.
puteri [66]
I suck at math but here's a site that will help you just add the decimal afterwords.http://www.calculatorsoup.com/calculators/math/longdivision.php
 

3 0
4 years ago
11. What is the third term of the recursive sequence below? a1=-6 an=1/2an-1-n<br> Hurryy plzzz
AlexFokin [52]

Answer:

a

Step-by-step explanation:

a_{1} = -6\\\\a_{n}=\frac{1}{2}a_{n-1} - n\\\\a_{2}=\frac{1}{2}a_{1}-2\\\\  = \frac{1}{2}*(-6)-2\\\\ = -3 - 2\\\\= -5\\\\a_{3}=\frac{1}{2}a_{2}-3\\\\= \frac{1}{2}*(-5)-3\\\\=\frac{-5}{2}-3\\\\= \frac{-5}{2}-\frac{3*2}{1*2}\\\\=\frac{-5}{2}-\frac{6}{2}\\\\=\frac{-11}{2}

5 0
3 years ago
CAN SOMEONE PLEASE HEELLLPEE MEEEEE..................................................................................... 1. How
Dvinal [7]
I did this Hold on let me go grab my answer
6 0
4 years ago
What is the factored form of the function f(x)=x^3+8x^2+5x−50?
Inga [223]

Answer:

the factors of  f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

Step-by-step explanation:

We need to factorise the function f(x)=x^3+8x^2+5x-50

If a number is a factor of this function than it must be completely divisible by last co-efficient. Our last co-efficient is -50

Checking few numbers:

f(1)=(1)^{3}+8(1)^2+5(1)-50\\f(1)=1+8+5-50\\f(1)=-32\\Now \ putting \ x= 2 \\f(2)=(2)^{3}+8(2)^2+5(2)-50\\f(2)=8+8(4)+10-50\\f(2)=8+32+10-50\\f(2)=0

So, f(2)=0 which means x-2 is a factor of the given function. Now we will perform long division of x^3+8x^2+5x-50 by (x-2) to find other factors

The long division is shown in figure attached.

After long division we get: x^2+10x+25

The equation x^2+10x+25 can be further simplified as: (x+5)(x+5) or (x+5)^2

So, the factors of  f(x)=x^3+8x^2+5x-50 are (x-2)(x+5)(x+5)

3 0
4 years ago
Factor - 3y(2y + 3) - 5(2y + 3)
avanturin [10]

Answer:

-(2y+3)×(3y+5)

Step-by-step explanation:

- 3y(2y + 3) - 5(2y + 3)

Factor out - (2y+3)

-(2y+3)×(3y+5)

4 0
3 years ago
Other questions:
  • Express the equation y=2/3x-6 in a standard format
    13·1 answer
  • If f(x) = 11x -8, what is f(3)​
    9·2 answers
  • Andrea totaled the distance she ran on Monday, Tuesday, and Wednesday. Her sum is 14.225. A 2-column table with 3 rows titled To
    16·2 answers
  • Tennis balls are filled with nitrogen gas. 1.7% of nitrogen gas has escaped from a particular ball after 10 hits.
    12·1 answer
  • What are two ways that graphing a linear inequality is different from graphing a linear equation?
    11·1 answer
  • For the arithmetic series 1/3+4/3+7/3+.... determine S7
    12·1 answer
  • A mountain biking park has a total of 60 trails, 20% of which are beginner trails. The rest are divided evenly between intermedi
    15·1 answer
  • Which is the best estimate for (2.8 times 10 Superscript 3 Baseline) (4.1 times 10 Superscript 6 Baseline) written in scientific
    9·2 answers
  • How does the circulatory system work at the tissue level?
    13·2 answers
  • How do you find A to C?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!