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
For this question What is 4f-9-f+15
Alex_Xolod [135]

Answer:

3f+6

Step-by-step explanation:

To solve this, we combine like terms which are in this case 4f and f.  4f-9-f+15 is (4f-f)+(-9+15), which we simplify to 3f+6.

5 0
4 years ago
The density of a certain material is such that it weighs 9 kilograms for every 7 cubic feet of volume. Express this density in p
Vadim26 [7]

Answer:

1.641× 10^-3 pounds/ cubic inch

Step-by-step explanation:

Density= mass / volume

Mass of the material= 9 kilograms

Volume= 7 cubic feet

Density= 9/7= 1.286 kg/ ft^3

Density= 1.286 kg/ ft^3

To Convert to pounds per inch

1 kg/ ft^3 = 0.00128 pound / cubic inch

1.286 kg/ ft^3 = X pounds/ cubic inch

X=( 1.286 × 0.00128)

= 0.0016407087 pounds/ cubic inch

= 1.641× 10^-3 pounds/ cubic inch

Hence,this density in pounds per inch is 1.641× 10^-3 pounds/ cubic inch

5 0
3 years ago
Which two expressions are equivalent and please explain so I can understand ​
PolarNik [594]

Answer: C

Step-by-step explanation: C is the correct answer because if you look at it, the only things that are changed around is the order of which the equation is . All the other ones, the parenthesis are moved around and when they are moved around, the equations become nonequivalent. Hope this helps! Please let me know if this is helpful or if you still don't understand

8 0
3 years ago
I need help on example #7, I would love to talk about these problems and what I am doing wrong​
Likurg_2 [28]
Uhhsjakak Kaisja. Is is jsians. Jenna
7 0
3 years ago
The graph of a linear relation passes through the point (-2,7) and has a slope of 1/6.
docker41 [41]

Answer:

Step-by-step explanation:

eq. of any line withslope 1/6 is

y=1/6x+c

∵ it passes through (-2,7)

so 7=1/6(-2)+c

c=7+1/3=22/3

eq. of line is

y=1/6x+22/3

6 0
3 years ago
Read 2 more answers
Other questions:
  • M∠A = 75 + 5x
    5·1 answer
  • What is the decimal equivalent of the fraction 119/4?
    13·1 answer
  • Suppose that Drake works for a research institute in Greenland and is given the job of treating wild polar bears there for hypot
    12·1 answer
  • Two angles are supplementary angles. One angle measures 58 degrees. The other angle measures 3n + 5 degrees. What is the value o
    14·1 answer
  • If the parallel sides of a trapezoid contained by the lines y = 2x + 7 and y = 2x - 4, what equation represents the line contain
    5·1 answer
  • PLEASE LOOK AT THIS PICTURE!!! NEED HELP ASAP
    9·1 answer
  • 4x and -4x<br> Like or<br> Unlike
    6·1 answer
  • 77th term for -10,-8,-6
    11·1 answer
  • If x=5 find the value of (x+3) ²
    7·2 answers
  • Solve for x please anyone?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!