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
alina1380 [7]
4 years ago
5

The width of a rectangle is the length minus 3 units. The area of the rectangle is 54 units. What is the width, in units, of a r

ectangle
Mathematics
1 answer:
saul85 [17]4 years ago
4 0

Width of the rectangle is 9 units

Step-by-step explanation:

  • Step 1: Let the width of the rectangle be x. Then the length = x - 3. Find dimensions of the rectangle if its area = 54 sq. units

Area of the rectangle = length × width

54 = x (x - 3)

54 = x² - 3x

x² - 3x - 54 = 0

x² + 6x - 9x - 54 = 0 (Using Product Sum rule to factorize)

x(x + 6) - 9(x + 6) = 0

(x + 6)(x - 9) = 0

x = -6, 9 (negative value is neglected)

x = 9 units

You might be interested in
<img src="https://tex.z-dn.net/?f=1%2F2x%5E3%20%2B%20x%20-7%20%3D%20-3%5Csqrt%7Bx%7D%20%20-1" id="TexFormula1" title="1/2x^3 + x
Margaret [11]

Answer:

  none of the above

Step-by-step explanation:

The problem as written cannot have any of the solutions offered.

For any of those choices, the right side expression will be irrational. The left side expression will be rational for any rational value of x, so cannot be equal to the right-side expression.

The solution is an irrational number near ...

  x ≈ 1.33682898582

5 0
3 years ago
What fraction makes the equation true?<br> Enter the answer in the boxes.<br><br> 5/6x =20/24
Darina [25.2K]

Answer:

x=1

Step-by-step explanation:

To find the value of x, we have to move all the real numbers to the other side.

5/6x = 20/24

We have divide each side by 5/6. Once we do that, we get—

x = 4/4

x = 1

6 0
3 years ago
The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24? y – 20 y – 14 y – 8 y – 6
aniked [119]
Just for future reference always put ^ for exponents. The answer is y-6 though. 
(y-4)(y-6) create that trinomial. You can prove that by using the FOIL algorithm 
7 0
3 years ago
Read 2 more answers
A sample poll of 100 voters were chosen from a given district<br>​
Julli [10]

Answer:

5y345

Step-by-step explanation:

i did it before

6 0
3 years ago
Jean noticed that the tar pit bubbled more on warm days than on cool days or at night. Is the air temperature the dependent vari
andreev551 [17]
It's indepentent. In fact, the tar pit's temperature DEPENDS (dependent variable) by the air's temperature (independent variable).
6 0
3 years ago
Other questions:
  • Most US adults have social ties with a large number of people, including friends, family, co-workers, and other acquaintances. I
    13·1 answer
  • Round 2.1 to the nearest whole number.
    5·2 answers
  • Please help w 6b!! :-)
    5·2 answers
  • Assessment items Which expression shows the result of applying the distributive property to 3 (1/5 x− 1/7) ?
    8·1 answer
  • What is 21 - 0.892 =
    10·2 answers
  • The answer below thanks
    15·1 answer
  • Austin deposits $2,250 into a one-year CD at an interest rate of
    11·1 answer
  • 5/9 x 3 3/5 simplest form<br> Show work please!
    14·2 answers
  • In the data set below, what is the lower quartile?
    14·1 answer
  • At 10 a.m., a train leaves Salt Lake City traveling north at 40 miles per hour. At 2 p.m., another train leaves Salt Lake City t
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!