Write a simplified polynomial expression in standard form to represent the area of the rectangle below: A picture of a rectangle is shown with one side labeled as 5 x plus 2 and another side labeled as x minus 4. 5x2 18x − 2 5x2 13x 2 5x2 − 18x − 8 5x2 13x 8.

Answer:

EG = 2 units

Step-by-step explanation:

Given that line q bisects EG at T , then

ET = TG  ( substitute values )

[tex]\frac{1}{3}[/tex] x = x - 2 ( multiply through by 3 to clear the fraction )

x = 3x - 6 ( subtract x from both sides )

0 = 2x - 6 ( add 6 to both sides )

6 = 2x ( divide both sides by 2 )

3 = x

Then

ET = [tex]\frac{1}{3}[/tex] x = [tex]\frac{1}{3}[/tex] × 3 = 1

TG = x - 2 = 3 - 2 = 1

Thus

EG = ET + TG = 1 + 1 = 2 units

EG = [tex] \frac{4x}{3} - 2[/tex]

Step-by-step explanation:

( First check the attached image for diagram )

[tex]EG=ET+TG[/tex]

Substituting the given values,

[tex]EG = \frac{1}{3}x + (x - 2)[/tex]

Opening the brackets and multiplying,

[tex]EG = \frac{1 \times x}{3} + x - 2 [/tex]

[tex] = > EG = \frac{x}{3} + x - 2[/tex]

Finding LCM,

[tex] = > EG = ( \frac{x}{3} + \frac{x \times 3}{1 \times 3} ) - 2[/tex]

[tex] = > EG = ( \frac{x}{3} + \frac{3x}{3}) - 2[/tex]

Combining them,

[tex]EG =( \frac{x + 3x}{3}) - 2[/tex]

[tex]EG = \frac{4x}{3} - 2[/tex]

Note:- T is midpoint of EG

because ET = TG

The Simplified polynomial expression in the standard form which represents the area of the given rectangle  is,

[tex]2x^2+6x-8[/tex]

The area of rectangle is the product of its length and width. It can be given as,

[tex]A=a\times b[/tex]

Here, (a) is the length of the rectangle and (b) is the width of the rectangle.

Given information-

One side of the rectangle is labeled as 2x-2.

Another side of the rectangle is labeled as x+4.

The image of the rectangle is attached below.

Let (l) is the length of the rectangle and (w) is the width of the rectangle.

In the below image, the length of the rectangle is,

[tex]l=4x+2[/tex]

The width of the rectangle is,

[tex]w=2x-2[/tex]

The area of the rectangle is the product of its length and width. Thus the area of the given rectangle is,

[tex]A=l\times w\\[/tex]

Put the values in the above expression as,

[tex]A=(x+4)\times(2x-2)\\A=2x^2+8x-2x-8\\A=2x^2+6x-8[/tex]

Thus the area of rectangle in simplified polynomial expression in the standard form is,

[tex]2x^2+6x-8[/tex]

Learn more about the area of rectangle here;

https://brainly.com/question/25292087

Answer:

224

Step-by-step explanation:

60% more than 140

Answer: Radius=11cm Diameter=22cm

Step-by-step explanation:

Answer:

A) [tex]\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]

Step-by-step explanation:

By combining the fractions on the left side into one fraction, we have:

[tex]\frac{1}{1-sin(x)}+\frac{1}{1+sin(x)}=\frac{2}{cos^2(x)}\\ \\\frac{1+sin(x)+1-sin(x)}{(1-sin(x))(1+sin(x))}=\frac{2}{cos^2(x)}\\\\\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]

Also, given the Pythagorean Identity [tex]sin^2(x)+cos^2(x)=1[/tex], then [tex]cos^2(x)=1-sin^2(x)[/tex].

Answer:

B is the answer I believe. I could be C tho. B is my final answer.

Answer:

If the shape is a square, then it has right angles.

Answer:

If a shape is a square, then it has right angles.

Step-by-step explanation:

Hi there!

The statement 'squares have right angles' tells us that any and all squares have right angles. Therefore, if a shape is a square, then it has right angles.

I hope this helps!

Answer:

[tex] - - - - - (a) \: y - 5 = \frac{3}{2} (x + 4) \\ y - 5 = \frac{3}{2} x + \frac{3 \times 4}{2} \\ y - 5 = \frac{3}{2} x + 6 \\ y = \frac{3}{2} + 11 \\ (the \: slope \: is \: \frac{3}{2} ) \\ - - - - - - - - ( b) \: y + 2 = 5x \\ y = 5x - 2 \\ (the \: slope \: is \: 5) \\ - - - - -(c) \: y = - 2(x - \frac{5}{8} ) \\ y = - 2x + \frac{5}{4} \\ (the \: slope \: is \: - 2)[/tex]

Answer:

2 units

Step-by-step explanation:

Answer:

equation of the line: 2x - y = 1

Step-by-step explanation:

Given coordinates: (2, 3) and (3,5)​

find slope of the equation:

using the formula:

→ [tex]\frac{5-3}{3-2}[/tex]

→ [tex]2\\[/tex] .............this is slope, also refereed as (m) in short form.

using the equation formula:

using the formula:

→ y - 3 = 2 ( x - 2 )

→ y - 3 = 2x - 4

→ y = 2x -4 +3

→ y = 2x - 1

→ -2x + y = -1

→ (-2x + y)/-1 = -1 /-1             [ divide both sides by -1 ]

→ 2x - y = 1  .......final answer in standard form where ( Ax + By = C ) where "A" should be positive and "C" constant on the right hand side.

Answer:

y=2x-1

Step-by-step explanation:

The equation for a line (slope-intercept form) is:

y=mx+b

m: slope

b: y-intercept

x and y: (x, y) coordinate pair

In this scenario, since we are given the slope and a point on the line, we can solve for the y-intercept:

y=2x+b

5=2(3)+b

5=6+b

Subtract 6 from both sides

b=-1

Therefore the equation of the line is:

y=2x-1

Answer:

4186.15

Step-by-step explanation:

Answer:

418,615 or 4,186.15

Step-by-step explanation:i cant tell if it is a desimal or a full number if desimal 4,186.15 if not desimal 418,615

Answer:

Step-by-step explanation:

uhhhh O-1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. 1.95-, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95

The larger the negative number, the lower the value the number actually is.

Answer: b. -1.95, -1.895, -1

Answer:

It can be set up as: 48/60

But it can also written as 48 divided by 608. When we put a percent sign we always move the decimal to the right two places. The percentage is 80%

Answer:

value of a=8.333

Step-by-step explanation:

we take equation two and hence we divide both side by -0.3

hence

-2.5/-0.3

=8.333

Answer:

is letter A .the division property of equality

Step-by-step explanation:

Hope it help you!!

are those the answer choise?

Step-by-step explanation:

Answer:

this is extremely simple. the sasha one is right.

Step-by-step explanation:

=======

:))

Answer:

x=30

Step-by-step explanation:

2x+54=4x-6[corresponding angles]

2x-4x=-6-54

-2x=-60

x=-60÷-2

x=30

Answer:

Look at the big picture. Make sure you understand what the end product is supposed to look like.

Examine the parts of the task. Figure out step-by-step what you need to do because it’s not going to happen through magic.

Think about the logical order of completing the pieces. What should you do first, second, third, etc.?

Step-by-step explanation:

Ya basically that!

please mark brainliest i need 2 more :(

Answer:

z = 7, x = 3, y = 20

Step-by-step explanation

3z + 5 = 26

3z = 21

z = 7

NP = NQ x 2

8x - 4 = 4x + 8

4x = 12

x = 3

y = pq/2

p = y; q = 10

10 x 2 = 20

y = 20

I hope this helps!

Answer:

area:39

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Set equation equal to 0

Answer:

-3

Step-by-step explanation:

The value of f(-3) can be found at looking at the x-value of -3, then drawing a vertical line. If you look at the point where the vertical line hits th graph, you get the point (-3,-3)

The y-value is what we are looking for, which is -3.

-Chetan K

here you go, hope this helps

Answer:

the 30th question

Step-by-step explanation:

the LCM of 5 and 6 is 30 meaning that the question that they will both do is the 30th question.

Answer:

57.50

Step-by-step explanation:

simply divide 345/6 which equals 57.5 which is 57.50

Answer:

price before fee was applied is $46.25

Step-by-step explanation:

$345/6= $57.5

divide total cost by number of tickets bought

$57.5-$11.25= $46.25

subtract the fee applied

Answer:

the correct answer is that mary sold 18 adult tickets and 32 student tickets

if she sold 18 adult tickets it would be 90 dollars, and if she sold 32 student tickets she would get 64 from that, if we add the amount of people that bought tickets and how much she got it would work out

with 18 adults+32 students being exactly 50

and 90+64 being 154.

I tried different solutions, I did 18 adults and 32 Students, since there are 50 tickets sold, this is the correct answer since if we do this the amount she makes from the adults will be 90 and she will make 64 from the students this will add up to $154

Principal= 850

rate = 0.75%

period = 18months

interest = 850x0.75%x18

= 850x0.0075x18

= 114.75

amount after 18 months

= 850+114.75 = $964.75

Answer:

yes

Step-by-step explanation:

I would help. Just give me the question