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
malfutka [58]
3 years ago
5

The rectangle below has an area of x^2-15x+56x square meters and a length of x-7 meters.

Mathematics
1 answer:
Gennadij [26K]3 years ago
3 0
Heya \: \: ! \\ \\ \\ Area \: of \: rectangle \: = Length \: \times Width \\ \\ We \: are \: given \: that \: , \\ \\ Length \: = \: \: ( \: x - 7 \: ) \: metres \\ Area \: \: \: \: \: = \: \: \: ( \: {x}^{2} - 15x + 56 \: ) \: square \: meters \\ \\ Therefore \: \: , \: \\ {x}^{2} - 15x + 56 = ( \: x - 7) \times Width \\ \\ Width = \frac{ ({x}^{2} - 15x + 56 )}{(x - 7)} \\ \\ Width = \frac{(x - 7)(x - 8)}{(x - 7)} \\ \\ \\ Width = ( \: x - 8 \: ) \: \: m \: \: \: \: \: \: \: \: \: Ans.
You might be interested in
A rectangle has a length 10 more than its width. If the width is increased by 8 and the length by 4, the resulting rectangle has
Aleks [24]

The Solution to the problem of the rectangle is given below

For Part A:

  • equation model: (14 + w) * (w +8) = 132
  • Length = 15

For Part B

  • Perimeter = 46

Meaning of Perimeter

The perimeter of any shape can be defined as the total sum of the sides of the shape.

<h3>Analysis</h3>

For Part A

equation model= (14 + w) * (w +8) = 135

14w + 112 + 8w + w^{2} = 135

w^{2} + 22w - 23 = 0

solving the quadratic equation

w = -23 or 1

Because we are dealing with a physical quantity we will make use of the value 1

lenght of original rectangle = 10 + 1 = 11

Part B

Perimeter= 2(length) * 2 (breadth) = 2(11 + 4) * 2 (1 + 8)

Perimeter = 48

In conclusion, The Solution to the problem of the rectangle is given above.

Learn more about Perimeter: brainly.com/question/19819849

#SPJ1

4 0
2 years ago
Read 2 more answers
Consider the figure below. I need need help with what’s the slope of TR is:
Keith_Richards [23]

Answer:

The slope of RT is: m = 1

Step-by-step explanation:

Given

  • R(-3, 1)
  • T(2, 6)

Determining the slope between (-3, 1) and (2, 6)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-3,\:1\right),\:\left(x_2,\:y_2\right)=\left(2,\:6\right)

m=\frac{6-1}{2-\left(-3\right)}

Refine

m=1

Therefore, the slope of RT is: m = 1

5 0
3 years ago
Given f(x)=x^2-4x+5, what's the value when f(2)
Reil [10]

If you were to replace the x's with 2, your equation would turn into:

(2)^2-4(2)+5

From there, you'd just solve.

4-8+5=1

Your answer would be 1.

7 0
3 years ago
0.042 divided by 5.6
abruzzese [7]
.0075 is the answer when u duvide
3 0
3 years ago
Read 2 more answers
Please can you help me with this problem? Thanks.
777dan777 [17]
-2.5(1-2n)-1.5n
=-2.5+5n-1.5n
=-2.5+3.5n

Answer: B.  -2.5+3.5n

8 0
4 years ago
Read 2 more answers
Other questions:
  • How do u divide 144 and 4.5
    12·1 answer
  • A cube has volume 15 625 cm3. what is the surface area of the cube?
    11·1 answer
  • Find the equation of of the plane that contains all three points'
    5·1 answer
  • (2.01)
    10·1 answer
  • Four less than five times a number is equal to 11
    12·2 answers
  • Which of the following is not a translation of the algebraic expression 12.4 - 36 into words?
    12·2 answers
  • Plz help due tomorrow
    14·2 answers
  • You arrive in mexico city with ​$600. How many pesos can you​ buy? currency exchange rates 0.06584 ​
    11·1 answer
  • A) a quadrilateral with 2 pairs of parallel sides
    7·1 answer
  • Can you help me please as soon as possible :)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!