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
Pls help extra points and mark brainlist
Inessa [10]

Answer:

B. C. and E.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A rhombus can always be classified as which of the following?
ollegr [7]

Answer:

square

rectangle

quadrilateral

Step-by-step explanation:

Sides are all equal

3 0
2 years ago
Plz, help!!!!! 15 pts
Korolek [52]

3/12 + 10/12 = 13/12 because the points lie in-between the 1/6 and 2/6 marks and the 6/6 and 7/6 marks.

6 0
3 years ago
Read 2 more answers
The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
statuscvo [17]

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

brainly.com/question/19599469

7 0
2 years ago
A circular puzzle is 20 inches in diameter. All of the pieces are about the same size. You want to know about how many pieces th
loris [4]

Answer:

circumference

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • From 1980 to 1990, the consumer price index (CPI) increased from 82.4 to 130.7. If a gallon of apple juice cost $0.95 in 1980 an
    9·2 answers
  • Use the graph to find the slope of the line. Tell with the slope means in this context
    15·1 answer
  • Which points in the scatter plot are outliers?
    12·2 answers
  • GIVING 10 points AND BRAINLIEST!!! please EXPLAIN !
    6·2 answers
  • It has been observed that some persons who suffer acute heartburn, again suffer acute heartburn within one year of the first epi
    11·1 answer
  • . Two bicyclists, Sarah and Emily, depart from the same location. Sarah heads N55°E at an average speed of 6 km/hr. Emily heads
    9·1 answer
  • Answer i got wasn’t listed help please
    5·2 answers
  • Pls help! I dont know what to put im horrible at patterns
    14·2 answers
  • What would be the third step in simplifying the expression 3 + (9 - 5) 2 ÷ 8?
    7·1 answer
  • Simplify this expression.<br><br> 2+. 3. 5-
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!