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
Damm [24]
3 years ago
14

The width of a rectangle is 1 units less than the length. The area of the rectangle is 72 units. What is the width, in units, of

the rectangle?
Mathematics
1 answer:
nalin [4]3 years ago
8 0

A = l × w. Substitute 72 into A and fill in the rest of the equation.

w = l - 1. Plug l - 1 into w

72 = l × (l - 1). Multiply l by (l - 1)

72 = l^2 - l. Subtract 72 from each side.

0 = l^2 - l - 72. Factor.

0 = (l + 8) (l - 9). Set each term equal to zero.

(l + 8) = 0. Subtract 8 from each side.

l = -8. Length cant be a negative number so let's try the other term.

(l - 9) = 0. Add 9 to each side.

l = 9. The length is 9.

Earlier we stated that the width is one less than the length, therefore, the width is 9 - 1 = 8.

The width is 8 units.

You might be interested in
Como resolver função logaritmicas
Alex_Xolod [135]
<span>No sé la respuesta. AMO MUCHA MÚSICA


Good luck! :)</span>
7 0
3 years ago
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
kolezko [41]

Answer:

Please see attached image

Step-by-step explanation:

We can work on the products of binomials using distributive property to multiply every term of the first binomial by every term of the second one. Finally combine like terms to get the trinomial that results:

1) (2+a)(2+a)=4+2a+2a+a^2=4+4a+a^2

2) (2a+1)(2a+1)=4a^2+2a+2a+1=4a^2+4a+1

3) (2a-1)(2a-1)=4a^2-2a-2a+1=4a^2-4a+1

4) (2-a)(2-a)=4-2a-2a+a^2=4-4a+a^2

7 0
4 years ago
Point A is located at the coordinates (3,5); if the point is rotated 180° about the origin, what will be the new coordinates of
Natalka [10]

In my opinion the new coordinates are

A' (-3, -5)

8 0
3 years ago
The sum of two numbers is with a ratio of 15:10. Find the larger number.
arsen [322]
Assume the sum is 100. The ratio of the two numbers is 15:10. This means that we can divide this indow 15+10, or 25 parts. Let us do that. Divide 100 into 25 parts and see how much is in each part. 100/25 is 4, meaning that there is 4 in each part. 15 parts will have 15*4, or 60. 10 parts will have 10*4, or 40. To confirm, add 40 and 60. It matches with what we started out with, 100. 


The two numbers, assuming the sum is 100, are 40 and 60. 60 is the greater value.
4 0
3 years ago
What property is -3(m+8)=-3m-24
Damm [24]

Answer:

All real numbers are solutions.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−3(m+8)=−3m−24

(−3)(m)+(−3)(8)=−3m+−24(Distribute)

−3m+−24=−3m+−24

−3m−24=−3m−24

Step 2: Add 3m to both sides.

−3m−24+3m=−3m−24+3m

−24=−24

Step 3: Add 24 to both sides.

−24+24=−24+24

0=0

Answer:

All real numbers are solutions.

8 0
3 years ago
Other questions:
  • 7y-8=6y+1<br> Please solve
    7·2 answers
  • A cylinder has a radius of 12 m and a height of 8 m. What is the approximate surface area of the cylinder? Use 3.14 for π. Use y
    15·2 answers
  • Find the center and radius of the circle whose equation is given below: (x − 2.5)2 + (y + 5.4)2 = 1.21
    12·2 answers
  • Is this shape a polygon?
    14·2 answers
  • A perfect square is a number with ______<br> as its square roots.<br> answer the blank
    11·2 answers
  • Can someone help with finding the area of this shape. The answer choices are on the second picture
    7·2 answers
  • 9x + 12 - 5x =-4<br><br> Help
    13·2 answers
  • Alexander is a stock broker he earns 40% commission each week last week he sold $7000 worth of stocks how much do you make last
    11·1 answer
  • Please give me the answer to this<br> whoever gets it right first will get brainliest
    11·1 answer
  • Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!