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
Neporo4naja [7]
3 years ago
12

A rectangle has an area of . Use factoring to find possible dimensions of the rectangle. Explain why you can use factoring to fi

nd the answer.
Mathematics
1 answer:
ivolga24 [154]3 years ago
7 0

Answer:

The answer is below

Step-by-step explanation:

A rectangle has an area of x² + 7x + 12. Use factoring to find possible dimensions of the rectangle. Explain why you can use factoring to find the answer.

Solution:

A rectangle is a quadrilateral (ha four sides and four angles) in which opposite sides are parallel and equal to each other. All the four angles in a rectangle are 90° each.

The area of a rectangle is given by:

Area = length * width

Hence the area is the product of two sides.

Given that:

Area = x² + 7x + 12

Factoring to find both the length and width of the rectangle:

Area = x² + 7x + 12

Area = x² + 4x + 3x + 12

Area = x(x + 4) + 3(x + 4)

Area = (x + 4)(x + 3)

After factoring we can see that the area is the product of (x + 4) and (x + 3). Hence x + 4 is the length and x + 3 is the width.

You might be interested in
7. The measures of the angles in a triangle are in the extended ratio of 3:4:5. Find the
Mashcka [7]

Answer:

Below.

Step-by-step explanation:

Angle 1 = (3/(3+4+5) * 180 = 3/12 * 180

= 45 degrees.

Angle 2 = 4/12 * 180 = 60 degrees.

Angle 3 = 5/12 * 180 = 75 degrees.

6 0
3 years ago
A manufacturer has cube shaped cardboard boxes with an exact volume of 12000 cubic inches. What is the volum of the largest sphe
vladimir1956 [14]

Answer:

6283 in³

Step-by-step explanation:

The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.

Since the cardboard box is in the shape of a cube, its volume V = L³

So, L = ∛V

Since V = 12000 in³,

L = ∛(12000 in³)

L= 22.89 in

So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2

So, V = 4π(L/2)³/3

= 4πL³/8 × 3

= πL³/2 × 3

= πL³/6

= πV/6

= π12000/6

= 2000π

= 6283.19 in³

≅ 6283.2 in³

= 6283 in³ to the nearest whole cubic inch

6 0
3 years ago
Write the positive or negative integer that this situation represents.
madreJ [45]

Answer:

12

Step-by-step explanation:

A profit, or money you have, or money you deposit in a bank account is usually positive.

A debt, or money you withdraw from a bank account, or money you give away is usually negative.

Answer: 12

5 0
3 years ago
What is the ratio of 36 to 20 in simplest form?
ollegr [7]
36:20            18:10
--------    =     --------      = 9:5
    2                  2

6 0
3 years ago
Read 2 more answers
Are O, N, and P collinear? If so, name the line on which they lie.
san4es73 [151]

We are given a figure where M, N , O and P points are given.

We need to explain if points O, N, and P collinear or not.

Note: All co-linear points are in a straight line.

From the figure, we can see that <em>O and N points are in a straight line but point P is aside.</em>

So, the points O, N, and P are not collinear.

Therefore, correct option is "<u>No, the three points are not collinear</u>".


7 0
3 years ago
Other questions:
  • PLEASE HELP ME ASAP WILL NAME YOU BRAINIEST
    8·1 answer
  • "Polio has a basic reproduction number (R0) = 5. The vaccine is very good; in fact, polio vaccine is 99% effective when two foll
    8·1 answer
  • What are the solutions of x^2+6x-6=10
    7·2 answers
  • What value of g makes the equation true? –11 –3 3 11
    5·1 answer
  • A handbag originally cost $85.00. Now it is priced at $68.00. What is the percent of decrease?
    15·1 answer
  • Find the area of the parallelogram. HELP ASAP!!
    14·2 answers
  • 27 is what percent of 60?
    9·1 answer
  • What does 4 yards equal
    14·2 answers
  • When will I be happy again​
    9·2 answers
  • Which expression is quivalent to this one ?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!