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dusya [7]
2 years ago
8

2x + 72xx + 8x

Mathematics
1 answer:
valentinak56 [21]2 years ago
7 0

The area of the shaded region is 3x^2 + 6x

<h3>How to determine the area of the shaded region?</h3>

The given parameters are:

  • Top side of the shaded rectangle = 2x + 7.
  • Left side of the shaded rectangle = 2x.
  • Top side of the unshaded rectangle = x + 8.
  • Left side of the unshaded rectangle = x.

The area of the shaded region is calculated as:

Shaded region area = (Top side of the shaded rectangle * Left side of the shaded rectangle) - (Top side of the unshaded rectangle * Left side of the unshaded rectangle)

Substitute the known values in the above equation

Shaded region area = (2x + 7) * (2x) - (x + 8) * (x)

Evaluate the products

Shaded region area = (4x^2 + 14x) - (x^2 + 8x)

Open the bracket

Shaded region area = 4x^2 + 14x - x^2 - 8x

Collect the like terms

Shaded region area = 4x^2 - x^2 + 14x  - 8x

Evaluate the like terms

Shaded region area = 3x^2 + 6x

Hence, the area of the shaded region is 3x^2 + 6x

Read more about areas at:

brainly.com/question/25292087

#SPJ1

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A school wants to buy a chalkboard that measures 4 feet by 6 feet. The chalkboard costs $7.21 per square foot. How much will the
kkurt [141]

Area of chalkboard = 4 feet x 6 feet = 24 square feet.


Total cost = 24 square feet x $7.21 per square foot = $173.04


Answer: $173.04

5 0
3 years ago
The expression 2y + 2.7 is equal to for y = 4. ​
Darya [45]

Answer:

10.7

Step-by-step explanation:

i am not certain but since y is the 4 you will have 2(4) + 2.7 so you get 8+2.7 since you do 2x4 then you add 8 and 2.7 to get 10.7

6 0
3 years ago
Please help me with this I will really appreciate it thank you! It’s geometry
Phoenix [80]

Answer:

150 degrees

Step-by-step explanation:

90+30=120.

Since angle afc is bisected by line bf, that means that the angles formed equal each other. Since the total angle measurement is 180 degrees, we do 180-120=60. 60/2=30. 120+30=150 degrees.

6 0
3 years ago
Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F’G’H’I’
frez [133]

Answer:

The answer is "\bold{(x,y)\longrightarrow (x-8, y-7)}".

Step-by-step explanation:

In the given question some data is missing. so, the correct answer to this can be explained in the following example:

In the given example, point D  is also known as the coordinates in the (2, 5), and in the coordination of the D prime (D') and after translation its co-ordinates value is (-6, -2). Since the very first choice is only accurate as:

⇒2-8 = -6

⇒ 5-7 = -2

It can try certain things too and see why this alone is the correct translation.  

7 0
3 years ago
Which of the following is a characteristic of the circumcenter of a triangle
jolli1 [7]

You have not provided the options, therefore, I can not provide an exact answer.

However, I will help you with the concept


In a triangle, the circumcenter is defined as the point of intersection of the three perpendicular bisectors in the triangle


The circumcenter is characterized by the following:

1- The circumcenter is the center point of the circumcircle

2- The circumcenter is equidistant from the three vertices of the triangle

<u>3- Position of circumcenter:</u>

in acute triangle ........> it lies inside the triangle

in right-angles triangle .......> it lies at the midpoint of the hypotenuse

in obtuse triangle ..........> it lies outside the triangle


Hope this helps :)

8 0
4 years ago
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