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Vinvika [58]
2 years ago
7

Find the area of the rectangle if AB = 2x + 1 and AD = 4x. A) 12x B) 8x2 + 1 C) 6x2 + 4x D) 8x2 + 4x

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
5 0

We are given sides of the rectangle AB = (2x+1) and

AD = 4x.

Area of rectangle = Length × Width

Area = 4x(2x+1).

Distributing 4x over (2x+1), we get

4x(2x+1) = 4x \times 2x + 4x \times 1

4x \times 2x = 8x^2 and

4x \times 1= 4x

4x(2x+1) = 8x^2 + 4x.

Therefore, Area = 8x^2 + 4x.

<h3>So, the correct option is D) \ 8x^2 + 4x.</h3>

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Obtuse Triangle

Step-by-step explanation:

When there is an angle with a measurement greater than 90 degrees, the triangle is an obtuse triangle.

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2 years ago
Carla Compra borrowed $800 at 14% for one year. She paid a $15 processing fee.
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How many liters are equal to 3,167 milliliters? Use the placement of the decimal point when dividing by a power of 10 to help yo
Marrrta [24]

Answer:

3.167 liters

Step-by-step explanation:

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3 0
3 years ago
The difference of two numbers is 16 the greater number is five less than four times a small number find the two numbers
Elis [28]

Answer:

The numbers are 23 and 7  

Step-by-step explanation:

1. Set up the equations

   Let x = the greater number

  and y = the smaller number. Then

(1) x - y = 16

       4y = 4 times the smaller number and

  4y - 5 = 5 less than 4 times the smaller number. Then

(2)     x = 4y - 5

You have a system of two equations:

\begin{cases}(1) & x - y = 16\\(2) & x = 4y - 5\end{cases}

2. Solve the equations

\begin{array}{lrcll}(3) & 4y - 5 - y & = & 16 &\text{Substituted (2) into (1)}\\& 3y - 5 & = & 16 &\text{Simplified}\\ & 3y & = & 21 &\text{Added 5 to each side}\\(4) &y & = & \mathbf{7} &\text{Divided each side by 3} \\& x - 7 & = & 16 & \text{Substituted (4) into (1)}\\& x& = & \mathbf{23} & \text{Added 7 to each side}\\\end{array}

The larger number is 23; the smaller number is 7.

3. Check

\begin{array}{rclcrcl}23 - 7& = & 16 & \qquad &23&=&4(7) - 5\\16 & = & 16 & \qquad &23& = &28 - 5\\&&& \qquad &23& = &23\\\end{array}

OK.

3 0
3 years ago
Theo is building a garden against his house. He bought two pieces of wood that are each five feet long. He wants to create a tri
liubo4ka [24]
Given:
two pieces of wood that are 5 feet long each.
form a triangle with a perimeter of a whole number.
third side the triangle will be the house 

Since two sides are already of the same length, he can create an isosceles triangle. 

An isosceles triangle has two equal sides and two equal angles.

Assuming that the 3rd side is also 5 feet long, then, he can create an equilateral triangle.

An equilateral triangle has three equal sides and three equal angles, measuring 60° each angle.
7 0
3 years ago
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