an expression for the area of a rectangular piece of sheet metal is X^2+8x+12.
An expression for the length of the same piece of sheet metal is x+6.
Determine an expression for the width.

Answers

Answer 1

[tex]\text{Area of rectangle} = \text{Length} \times \text{Width}\\\\\\\implies \text{Width} = \dfrac{\text{Area of reactangle}}{\text{Length}} = \dfrac{x^2 +8x +12}{x+6} = \dfrac{x^2 + 6x +2x +12}{x+6}\\\\\\\\ = \dfrac{x(x+6) +2(x+6)}{x+6}=\dfrac{(x+6)(x+2)}{x+6} = x+2[/tex]


Related Questions

Howards baseball team won 7/10 of its game. Jeremys team won 2/5 of its game. They both played the same number of games. Whose team won more games, or did they win the same amount?

Answers

Answer:

Jeremy's team won more games

Step-by-step explanation:

Let's transform these fractions into ratios:

[tex]\frac{7}{10} =7:10\\\\\frac{2}{5} =7:10[/tex]

Then, simplify:

[tex]7:10[/tex] ≈ [tex]1:1.4[/tex]

[tex]2:5=1:2.5[/tex]

Finally, compare:

[tex]1:1.4\neq 1:2.5[/tex]

Result:

Jeremy's team won more games since [tex]1:2.5>1:1.4[/tex]

Note:

The way I simplify the ratios may be confusing so here is a quick explanation;

Make the smaller of the two numbers in the ratio into one then divide the larger number by the smaller number for the other part of the ratio

Example:

5:10

5 turns into 1

10 divided by 5 equals 2

Simplified Ratio: 1:2

Jeremy won more games than Howard.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Howard Team won = 7/10

Jeremy team won = 2/5

Now, taking LCM (5, 10)= 10

So, Jeremy team won = 2/5

                                     = 4/10

So, Jeremy won more games than Howard.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ5

Hey can anyone help me with these please and thank you !

Answers

Answer:

I would be able to help you but I cant see the work that well. hope you figure it out.

Step-by-step explanation:

what is the perimeter of khgj?

Answers

Answer:

  58 in

Step-by-step explanation:

The fact that the rectangles are congruent means both have a length of 18 in and a width of 11 in. The perimeter is ...

  P = 2(L +W)

  P = 2(18 in + 11 in) = 2(29 in)

  P = 58 in

The perimeter of KHGJ is 58 inches.

Mr Harrison is 9 months old. How old is Mr Harrison daughter in days​

Answers

Answer:

273.75 days

Step-by-step explanation:

I NEED HELP PLSSSSSS

Answers

Answer:

130 is the answer I Think

the answer is 103 or 130 degrees

6=2(y+2) what is the value of y in the equation

Answers

Answer: the value of y is 1

Step-by-step explanation: 6=2 x 1+2

the price of 10 chairs is equal to that of 4 tables. the price of 15 chairs and two tables together is 4000$ the total price ( in $) of a chair and table is?​

Answers

Answer:

  $700 for a chair and a table

Step-by-step explanation:

Let t and c represent the price of a table and a chair, respectively. The given relations are ...

  10c = 4t

  15c +2t = $4000

Divide the first equation by 2 and substitute for 2t:

  5c = 2t

  15c +5c = $4000

  20c = $4000

  c = $200

  t = 5c/2 = 5($200)/2 = $500

The total price of a chair and a table is ...

  $200 +500 = $700 . . . . price of a chair and a table

solve pls brainliest

Answers

5.15, 5.2222, 5.19, 5.169



1: 103/20 2: 5.169 3: 5.19 4: 5 2/9

We have: 103/20= 5,15   ;   5 2/9= 5,(2)

So the answer is:

103/20 < 5.169 < 5.19 < 5 1/2

ok done. Thank to me :>

Does the equation Y equals 2X +3 represent a proportional relationship

Answers

Y = 2x + 3
Plug in 0 for x
Y = 2(0) + 3
Y = 3, therefore the point (0,0) cannot work because there’s a y- intercept.
Proportional means you will start at the point of origin (0,0) but this case, that is not possible.

Not proportional

PLEASE ANSWER!!! HELPPPO

Answers

Answer:

a) 34

b) 17

c)46

Step-by-step explanation:

55-21 = 34

count

A shirts costs $20, the cost of the shirt increases 30%, what is the price of the shirt now?​

Answers

Answer: 10

Step-by-step explanation:

the area of a circle in terms of pi is 4pi m2. find the value of the diameter

Answers

Answer:

  4 m

Step-by-step explanation:

The area of a circle is given in terms of diameter by ...

  A = (π/4)d²

Then the diameter in terms of area is ...

  d = √(4A/π)

For the given area, the diameter is ...

  d = √(4·4π/π) = 4 . . . meters

The diameter of the circle is 4 meters.

PLEASE HELP BRAINLEST TO WINNER!!!!!!!
The coordinates of a point on a coordinate grid are (−1, 5). The point is reflected across the x-axis to obtain a new point. The coordinates of the reflected point are

(1, −5)
(−1, 5)
(1, 5)
(−1, −5)

Answers

(-1, -5)

x-axis is to flip the y - coordinates

y-axis is to flip the x - coordinates

w
[tex]41 \div 646 = [/tex]
[tex]259 \times 55[/tex]
help me with this math pls​

Answers

This is your answer and for the multiplication I gave it to you step by step

How much is f(x) = 3(4)x

Answers

Answer:

f ( x ) = 12 x

Step-by-step explanation: 3x4=12 so that makes it f(x)=12x

If 14 out of 20 students in a college classroom are make, what percentage of the class is composed of men?

Answers

Answer:

70% of the class is composed of men.

Step-by-step explanation:

14: 20*100 =

(14*100): 20 =

1400: 20 = 70

Solve: 2x^2 -x >15 Show your work.

Answers

Step by step explanation

Answer:

x>3

Step-by-step explanation:

Work:

2x^2-x>15

Subtract 15 on both sides:

2x&2-x-15>0

Factor the left side of equation to cancel out the ^2.

(2x+5)(x−3)>0

2x+5=0 or x−3>0

Then to make it easier we will do the x-3>0 one, add 3 to both sides = x>3

if I move up 8 and then move down 8 where am I located?​

Answers

Answer:

you are back in your place.

Step-by-step explanation:

can someone help me ?
Which of the following are true?
3^6 x 3^-3 = 27
3^3 x 3^-6 = 1/27
3^2 x 3^1 = 27
3^4 x 3^-1 = 1/27

Answers

Answer:

i think that all of them EXCEPT the last one are correct. Explained below

1+×= ???? answer it ​

Answers

Answer:

1+x=x

Step-by-step explanation:

1 is only one letter

Please please help please help me please please help me

Answers

It’s 1+1 so it it 99

Answer:

y = -6/7x - 10/7

Step-by-step explanation:

(-4,2) and (3,-4)

Slope: - 6/7

Take any point: (-4,2)

y-intercept: 2 - (- 6/7)(-4) = -10/7

can someone write −4 and (6, 4) in standard form. -4 is the slope. I need it as one answer.

Answers

Answer:

y = -4x + 28

Step-by-step explanation:

yeah-ya........ right?

Step-by-step explanation:

what is the standard form for your teacher ?

because that is absolutely not agreed on worldwide (and even between teacher and teacher in the same region).

there are 2 main forms :

the general slope intercept form is

y = ax + b

a is the slope. and is here -4.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the half finished equation :

4 = -4×6 + b = -24 + b

28 = b

so, the equation is

y = -4x + 28

the general slope point form is

y - y1 = a(x - x1)

where a (often called m) is again the slope, and x1, y1 are the coordinates of a given point.

so, we have

y - 4 = -4(x - 6)

What is his error? Try to describe the picture. (Pls help I need 4 pages due tomorrow)

Answers

Answer:

Ben's error is that he thought both pizzas were the same size, well what was left and in the beginning.

Step-by-step explanation:

Even if both 1/4 is left, that doesn't mean you started with the same amount.  Also, both 1/4 pieces are different shapes and sizes, making him wrong.

Hope this helped!! :)

brief statement Bosnian Crisis.

Answers

Answer:

The Bosnian war and genocide resulted in close to 100,000 civilians killed, over 2 million people forcibly displaced, and between 20,000-50,000 women systematically raped. ... Over 7,000 Bosnian Muslim prisoners captured in the area around Srebrenica were summarily executed from 13 July to 19 July 1995.

Step-by-step explanation:

hope this helps

Using the diagram of a regular hexagon, fill in the blanks for the steps to solve for the area of a hexagon with sides equal to 16 cm.

(1) How many equilateral triangles are there? _____

(2) What is the measure of each of the three angles in the equilateral triangle? _____

(3) If we cut an equilateral triangle down the middle (segment a), what special right triangle do you create? _____

(4) What is the vocabulary word for the segment a? _____

(5) What is the length of the short side of one of the 30-60-90 triangles? _____

(6) What is the length of the hypotenuse of one of the 30-60-90 triangles? _____

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg of one of the 30-60-90 triangles. _____

(8) What is the height of one of the the equilateral triangles? _____

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. _____

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _____

Answers

Answer:

(1) How many equilateral triangles are there? ___6__

(2) What is the measure of each of the three angles in the equilateral triangle? __60°_

(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_

(4) What is the vocabulary word for the green line? _Perpendicular bisector_

(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_

(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm

(8) What is the height of the equilateral triangle?  _4√3_cm

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²_

Step-by-step explanation:

In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles

What is Hexagone?

In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles

The answers of all the fill in the blanks are given below:

(1) How many equilateral triangles are there ___6__

(2) What is the measure of each of the three angles in the equilateral triangle __60°_

(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_

(4) What is the vocabulary word for the green line? _Perpendicular bisector_

(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_

(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm

(8) What is the height of the equilateral triangle?  _4√3_cm

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²

To know more about Hexagone follow

https://brainly.com/question/1615720

WARM UP ACTIVITY (5 MIN) Ms. Chantel's car can go 228 miles on 6 gallons of gas. During a drive last week Ms. Chantel used 7 gallons of gas. a.) How far did she drive? b).Explain how the problem changes if you were given the distance Ms. Chantel drove last week instead of how much gas she used.

How does the problem change????​

Answers

Answer:

a. 266

b. if you were given the distance you can just do, the distance divided by 38

Step-by-step explanation:

A. 228/6=38

228+38=266

A 9 in the thousandths place has 10 times the value of a 9 in the ? Place.

Answers

Answer:

10,000th place

Step-by-step explanation:

Write the ratio:
0.26
to
0.52
as a fraction in lowest terms.

Answers

Answer:

[tex] \frac{13}{50} to \: \frac{12}{25} [/tex]

can someone heelp me plz

Answers

Answer is D) Fluid ounce

What is three times a number is increased by 11 ,the result is 32

Answers

Answer:

7

Step-by-step explanation:

let x be the number

3x + 11 = 32

3x = 21............subtract both sides by 11

x = 7................divide both sides by 3

Answer:

Expression-

3×r+11=32

r=7

Step-by-step explanation:

I have run this answer the calculator a million times so trust me on this one

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