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3 years ago

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]3 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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Camilias as backyard is in the shape of a rectangle and has a length of 16.5 feet. It costs her $976 to fence in the yard. If fe

Bumek [7]

Answer:

14 feet

Step-by-step explanation:

To calculate the width of the patio, we will use the formula of the perimeter, in the case of the rectangle it has the formula of:

p = 2 * l + 2 * w

Now we know that the total fencing value is $ 976 and that per foot is $ 16

that is, we can calculate the value of the perimeter, like this:

976/16 = 61

We know that the perimeter is 61 feet and that the length is 16.5, therefore it only remains to replace:

61 = 16.5 * 2 + 2 * w

solving for w:

w = (61 - 33) / 2

w = 14

which means that the width of the patio is 14 feet.

8 0

3 years ago

Determine if the table shows a linear or an exponential function

____ [38]

Answer:

<em>The table shows an exponential function</em>

Step-by-step explanation:

<u>Linear vs Exponential Functions</u>

A linear function is written as:

$y=mx+b$

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

An exponential function is written as:

$y=y_o.r^x$

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

$\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}$

Calculate the slope for (0,4) and (1,2):

$\displaystyle m=\frac{2-4}{1-0}=-2$

Calculate the slope for (1,2) and (2,1):

$\displaystyle m=\frac{1-2}{2-1}=-1$

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

$\displaystyle r=\sqrt[1-0]{\frac{1}{2}}$

The radical of index 1 is simply equal to its argument:

$\displaystyle r=\frac{1}{2}$

Now calculate the ratio for (0,4) and (2,1)

$\displaystyle r=\sqrt[2-0]{\frac{1}{4}}$

$\displaystyle r=\sqrt{\frac{1}{4}}$

$\displaystyle r=\frac{1}{2}$

Testing other points we'll find the same ratio, thus the table is an exponential function

4 0

3 years ago

Read 2 more answers

Write the equation of the line containing each pair of points

Alja [10]

Can you please take a picture of each pair of points

4 0

3 years ago

Convert 13pi/6 to a degree measure <br><br> A=390<br> B=2450.44<br> C=30<br> D=780

Burka [1]

Answer:

390 degrees

Step-by-step explanation:

The conversion factor is 180/pi

13 pi /6 * 180/pi

13/6 *180

390

5 0

3 years ago

8-37 better than or equal to 29

Zina [86]

The statement that 8-37 greater than or equal to 29 is false and the correct statement is 8 - 27 is less than 29

<h3>What is an inequality?</h3>

An inequality can be defined as a relation which makes an unequal comparison between two numbers or mathematical expressions.

It is used most often to compare two numbers on the number line by their size

The information given be represented as;

$8 - 37\geq 29$

Now, let's find the difference from the left side

We have;

$- 29\geq 29$

From this, we can see that the statement is wrong as - 29 is neither greater than or equal to 29

The correct statement should be; 8 - 27 is less than 29

Thus, the statement that 8-37 greater than or equal to 29 is false and the correct statement is 8 - 27 is less than 29

Learn more about inequalities here:

brainly.com/question/24372553

#SPJ1

5 0

2 years ago