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
7nadin3 [17]
3 years ago
13

Question 2

Mathematics
1 answer:
prisoha [69]3 years ago
4 0

Answer:

Please check the explanation.

Step-by-step explanation:

<u>Calculating the area of the outer rectangle:</u>

Given

  • The length outer rectangle = l = 3x - 1
  • The width of outer rectangle = w = 5x + 2

Thus,

The area of the outer rectangle:

A = wl

    = (5x + 2) (3x - 1)

    =5x\cdot \:3x+5x\left(-1\right)+2\cdot \:3x+2\left(-1\right)

     =5\cdot \:3xx-5\cdot \:1\cdot \:x+2\cdot \:3x-2\cdot \:1

      =15x^2+x-2

<u>Calculating the area of the inner rectangle:</u>

Given

  • The length inner rectangle = l = x + 7
  • The width of inner rectangle = w = x

Thus,

The area of the outer rectangle:

A = wl

   = x(x+7)

   = x² + 7

<u>Calculating the area of the shaded region:</u>

As

The area of the outer rectangle = 15x² + x - 2

The area of the inner rectangle = x² + 7

  • The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.

Thus,

shaded region Area = Outer Rectangle Area - Inner Rectangle Area

                                  = 15x² + x - 2 - (x² + 7)

                                   =  15x² + x - 2 - x² - 7

                                   = 14x² + x - 9

Therefore, the Area of the shaded region is: 14x² + x - 9

You might be interested in
Which point on the scatter plot is an outlier? A scatter plot is shown. Point D is located at 1 and 1, Point C is located at 2 a
katovenus [111]

Answer:

The outlier is:

Point A.

Step-by-step explanation:

We know that an outlier is a point that stands out as compared to the rest of the data points.

Clearly from the scatter plot based on the given points in the question we get tat Point A is an outlier because it attains a different value as compared to the rest of the data points.

Hence, the outlier is:

Point A.

6 0
3 years ago
Read 2 more answers
-2(x+2=x-3(x+1)-1 please help me
Tcecarenko [31]
The solution would be x=0 because the statement is false.
7 0
2 years ago
Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept: (0,1)
Luda [366]

Answer:

y = (1/4)x² - (5/4)x + 1

Step-by-step explanation:

The x-intercepts of the quadratic equation are simply it's roots.

Thus, we have;

(x + 1) = 0 and (x - 4) = 0

Now, formula for quadratic equation is;

y = ax² + bx + c

Where c is the y intercept.

At y-intercept: (0,1), we have;

At (-1,0), thus;

0 = a(1²) + b(1) + 1

a + b = -1 - - - (1)

At (4,0), thus;

0 = a(4²) + b(4) + 1

16a + 4b = -1

Divide both sides by 4 to get;

4a + b = -1/4 - - - (2)

From eq 1, b = -1 - a

Thus;

4a + (-1 - a) = -1/4

4a - 1 - a = -1/4

3a - 1 = -1/4

3a = 1 - 1/4

3a = 3/4

a = 1/4

b = -1 - 1/4

b = -5/4

Thus;

y = (1/4)x² - (5/4)x + 1

6 0
2 years ago
What is 8c + 10b ÷ 7a if c = 7, b = 12, and a = 5 Please give a full and good explanation for a brainliest...​
PolarNik [594]

Answer:

141  5/7

Step-by-step explanation:

8c + 10b ÷ 7a

Let c = 7, b = 12, and a = 5

8*7 + 10*12 ÷ 7*5

Multiply and divide from left to right

56+120 ÷7*5

56+ 600/7

Get a common denominator

392/7 + 600/7

992/7

Change from an improper fraction to a mixed number

141  5/7

8 0
3 years ago
Read 2 more answers
When building a roof, carpenters put vertical boards every 2 feet along the horizontal baseline. The height of the boards, y, fo
Tanzania [10]

Answer:

10 feet

Step-by-step explanation:

define variables:

y= height of the boards

x= distance to corner

we are trying to figure out what x is since we know the height of the board

4= 0.4x

divide both sides by 0.4

10=x

3 0
3 years ago
Other questions:
  • (See Image Attachment) Please explain how you got the answer. Thanks.
    5·1 answer
  • 1/2x -2 =8 solve for x<br>​
    8·1 answer
  • Let event A = You buy a bottle of sunscreen on Friday. Which event is most
    6·1 answer
  • When an opinion poll calls landline telephone numbers at random, approximately 30% of the numbers are working residential phone
    15·1 answer
  • Elizabeth went on a trip with
    6·1 answer
  • Find two numbers such that the sum of their squares is 100. The square of the larger number is equal to the sum of the product o
    7·1 answer
  • Which expression represents the perimeter of the rectangle with a width of 4x+3 and legnth of 2x?
    10·1 answer
  • Describe the error Sadie made, and explain how to find the correct answer. (Refer to image)
    11·2 answers
  • Write 4/5 as a decimal
    10·2 answers
  • Bridgette got $35 for her birthday. Each week, she buys a magazine that costs $4.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!