Help? Problem: Write an expression for the area of the shaded region in its simplest form. Show all of your steps.

Help? Problem: Write An Expression For The Area Of The Shaded Region In Its Simplest Form. Show All Of

Answers

Answer 1

Answer: x² + 23x + 49

Step-by-step explanation:

The way to find the area of the shaded region is to find the area of the big rectangle, and subtract from it the area of the small square inside.

Simple enough! lets write it in algebra and work out the steps:

Area of Shaded = Area of big rectangle - Area of small square

Area of Shaded = [(x+10)(2x+5)]  -  [(x+1)(x+1)]

Area of Shaded = (2x² + 5x + 20x + 50)  -  (x² + x + x + 1)

Area of Shaded = (2x² + 25x + 50) - (x² + 2x + 1)

Area of Shaded = 2x² + 25x + 50 - x² - 2x - 1

Area of Shaded = 2x² - x² + 25x - 2x + 50 - 1

Area of Shaded = x² + 23x + 49

Answer 2

Answer:

The expression for the area of the shaded region is x² - 23x - 49

Step-by-step explanation:

Area of a rectangle

area = lw

where

l = length

w = width

Therefore,

The area of the shaded region  = area of the big rectangle - area of the small rectangle

Therefore,

area of the big rectangle = (x+10)(2x+5) = 2x² + 5x + 20x + 50 = 2x² + 25x + 50

area of the small rectangle = (x+1)(x+1) = x² + x + x + 1 = x² + 2x + 1

area of the shaded region = 2x² + 25x + 50 - ( x² + 2x + 1)

area of the shaded region =  2x² + 25x + 50 - x² - 2x - 1

area of the shaded region = x² - 23x - 49


Related Questions

What is the equation of this line?

A. y=4/3x−3
B. y=−3x−3/4
C. y=3/4x−3
D. y=−3x−4/3

Answers

Answer: Y= 3x-4 And Y= -3x+2 i think

Step-by-step explanation: but anyway go to my page then click on questions go to the first on  type and answer and get free points and hearts :)

Answer:

C. y=3/4x-3

Slope: 3/4

y-intercept: -3

Equation: y=3/4x-3

Make a table with x and y just like the one shown below

X:Y

0:-3

4:0

As you can see when x is 0 y equals (-3)

That (-3) is your y-intercept

Now we're going to save that for later

Then you do 0-(-3) and 4-0

You should get positive numbers of 3 and 4

Now you do y/x and that will be 3/4

That 3/4 is your slope

We're going to bring back that (-3) we got earlier and make the equation

The equation is y=3/4x-3

Make sure that you check your work as well

I hope you understand what I'm saying here :)

Find the value of x
x=___

Answers

Answer:

5

Step-by-step explanation:

(12x + 19) + (22x - 9) = 34x + 10

since both are supplementary angles, 34x + 10 = 180

simples algebra leads us to x = 5

(y - 2) ÷6 =1
What is y?

Answers

Answer:

[tex]y=8[/tex]

Step-by-step explanation:

Given the following question:

[tex](y-2)\div6=1[/tex]

To find the answer we must remember we need to isolate the variable and get it by itself, first we need to rewrite the expression and solve by using inverse of operations.

[tex](y-2)\div6=1[/tex]
[tex]\frac{(y-2)}{6} =1[/tex]
[tex]6\times0=0[/tex]
[tex]1\times6=6[/tex]
[tex](y-2)=6[/tex]
[tex]-2+2=0[/tex]
[tex]6+2=8[/tex]
[tex]y=8[/tex]

Your answer is "y = 8."

Hope this helps.

Y = 8

explanation -
multiply the 1 by 6 (opposite of dividing) then add two because it’s the opposite of subtracting

Coach Patrick is ordering football jerseys for his team. The table below shows the relationship between the number of jerseys ordered and the total cost of the jerseys.



Based on the information shown in the table, what is the total cost of ordering 52 jerseys?

Answers

Answer: Pretty sure it's 390$

Step-by-step explanation:

The answer is 390 dollars for 52 jerseys

Edna has a new step counter that keeps track of how far she walks each day. By lunchtime today, she had already walked 1.5 miles! Let m be the number of miles she walks the rest of the day, and let t be the total number of miles Edna walks today.
The equation t=m+1.5 represents this situation. Graph the equation. PLEASE HELP ME FAST!!!!!

Answers

Answer:

The below graph should model t = m + 1.5. I'm pretty sure this is correct. I just replaced t with y and m with x.

Which expression is equivalent to the equation below.

2x - 1/3 (12x - 30)

A. 2 ( x + 5)
B. -2 ( x + 5)
C. -2 ( x - 5)
D. 2 ( x - 5)

Answers

Answer:

  C.  -2 ( x - 5)

Step-by-step explanation:

Use the distributive property to eliminate parentheses, then combine like terms. Factor the greatest common factor from the result.

  [tex]2x -\dfrac{1}{3}(12x -30)=2x-\dfrac{12}{3}x+\dfrac{30}{3}=2x-4x+10\\\\=-2x+10=\boxed{-2(x-5)}[/tex]

Answer:

c) -2 (x - 5)

Step-by-step explanation:

2x - 1/3 (12x - 30)

2x - 4x + 10

-2x + 10

-2x + 10 can be written as:

-2x + 10

-2 (x - 5)

Check your answer:

-2 (x - 5)

-2x + 10

Hope this helps!

Chase a has locker that is 2 ft. wide, 2 ft. deep, and 5 ft. high. How many boxes of fundraising candy can he fit into his locker if each box is 1 ft.3 in volume?

Answers

Answer:

16 boxes of candy

Step-by-step explanation:

since 12 inches fit in one foot, 3 inches are basically 3/12 or 1/4

the volume of the locker = width x depth x height. 2x2x5=20

20 divided by 1 1/4=20 divided by 5/4=20*4/5=80/5=16

Answer:

20 boxes of fundraising candy can fit in his locker.

Step-by-step explanation:

because V= l x w x h.  2 x 2 x 5= 20, since you know that the volume is 1. Divide 1 and 20, you still get 20.

This figure represents a compartment in a container for storing craft supplies. Another compartment is identical except that it is 4 centimeters taller.

What is the difference in volume of the two compartments?

Enter your answer in the box.

cm³

Answers

Answer:

280cm^3

Step-by-step explanation:

Find the volume of the original container (490), and subtract that from the volume of the second container (770) to get 280cm^3.

The difference in the volume that the two compartments have:

280 [tex]cm^3[/tex]

Find the volume

Given that,

Sum of parallel sides = 15cm + 5cm

= 20 cm

Height = 7 cm

[tex]= 4 cm[/tex]

To find,

The volume of the compartment = Area of base × Height

= {(1/2) × 20} × 7}  × 7

= 490 [tex]cm^2[/tex]   ...(i)

Now,

The new compartment's height = 7 + 4

= 11 cm

Volume for the new compartment = Area of base × Height

= 70 × 11

= 770 [tex]cm^3[/tex]    ...(ii)

Now,

To find the difference in the volumes,

(ii) - (i)

= 770 - 490

= 280 [tex]cm^3[/tex]

Thus, 280 [tex]cm^3[/tex] is the correct answer.

Learn more about "Volume" here:

brainly.com/question/1578538

PLS HELP


This pattern follows the rule subtract 6. What is the next number in the pattern?


51, 45, 39, 33, ________


Group of answer choices


30


29


27


26

Answers

Answer:

the answer is 27

Step-by-step explanation:

you are subtracting 7  each time  it would be 27  

51-7=45  

45-7=39

39-7=33  

33-7=27

51,45,39,33,27

27

33-6=27

So 51 , 45 , 39 ,33 , 27

Your welcome!

Maria is applying for a summer job. Six employees who do various jobs at the company earn $8.00, $8.50, $9.00, $9.50, $10.00, and $23.50 per hour. In the interview, the boss tells Maria that the median of the hourly wages is $9.25. Is the boss’s statement misleading? Why or why not?
A. Yes; $9.25 is the mode.
B. Yes; it seems to ignore the $23.50 amount.
C. Yes; $9.25 is the mean.
D. No; $9.25 is the correct median.

Answers

Answer:A. Yes; $9.25 is the mode.

Step-by-step explanation:Becuase im smart

Answer:

Yes; $9.25 is the mode.

Step-by-step explanation:

A coat cost $39.99 at Walmart. The sales tax is 4.5%. What is the total amount of the sales tax?
Options:
1. $1.80
2. $38.19
3. $41.79
4. $44.49

Answers

I’d probably go with d sorry if I’m wrong
The answer is $44.49

Asap, please help me

The measure of c is___.

Answers

Answer:

10

Step-by-step explanation:

it is because of Pythagoras's theorem: that the sum of the squares of the two lines that form a right angle, must add up to the square of the hypotenuse (c). So 6²+8² is 100, which is the square of 10.

Answer:

10

Step-by-step explanation:

Pythagorean Theorem tells us that (6)a^2 plus (8)b^2 = (10)c^2

6^2 = 36

8^2 = 64

36 + 64 = 100

sqrt of 100 = 10

c = 10

The ratio of centimeters to inches is 3 centimeters to
1.18
inches.

Answers

Answer:

FALSO

Step-by-step explanation:

bc im genius

False because the dude said so

Could you help me please!!

Answers

Answer:

22.4

Step-by-step explanation:

the triangle is half of the rectangle so you divide it by two

22.4 is the answer, you divide it by 2

Math problems, yay PLS HELP-

Answers

Answer:

235.62

Step-by-step explanation:

First you need to find the area of the big circle as a whole the equation is

A = pir^2

you need to plug in the radius of the big circle which would be

A = pi(10)^2

which equals

314.16

Then you need to find the area of the unshaded circle in the middle using the same formula but replacing the 10 with a 5

which equals

78.54

We then subtract the 78.54 from the 314.16 and we get 235.62 which is the area of the shaded circle to the right

2.4.4 Journal: measurement and units answers because it’s a waist of time part 1 (this is just a test to see how to fix the pictures)

Answers

Do you need help with all of the questions?

Find the simple interest.
$5,000, 5%, 3 years

Find the ending balance
$5,000, 5%, 3 years

Marking brainliest <3
But just give me the answer I need this ASAP

Answers

1. $5,750.00

2. 5,788.13

Answer:

The answer is $5,788.13

You guys please help!! 8th grade math

Answers

1. ( 5x+4)+26= 180
4+ 26 = 30
5x + 30 = 180
Subtract 30 from both sides and you get 5x= 150
Divide 5 from both sides.
X = 30.

1# What is the side length of a square with an area of 1/16 square units?

2# What is the volume of a cube with edge lengths of 2/3 units?

3# What is the edge length of a cube with a volume of 27/64 cubic units?

Answers

Answer:

#1 1/4


#2. 8/27


#3 3/4

Step-by-step explanation:

let the side of the square be y

Area of a square = y x y = y^2

y^2 = 1/16

y = sqrt (1/16)

y = 1/4


volume of a cube = edge length x edge length x edge length

Volume of a cube = 2/3 * 2/3 * 2/3

Volume of a cube = 8/27


volume of a cube = (edge length)^3

Edge length = cube root (volume of a cube)

Edge length = cube root (27/64)

Edge length = 3/4

what is the area of a semi circle if the diameter is 24

Answers

Answer:

12

Step-by-step explanation: this is because if the circle is 24 then half the circle should be 12 if not then I don’t know your on you own

The area of a normal full circle is given by;

[tex]a = \pi \: r {}^{2} [/tex]

but since i want a semi circle, i would want that area to be split into 2, right?

So our new equation for the area of a semi circle is given by;

[tex]a = \frac{\pi \: r {}^{2} }{2} [/tex]

where r is the radius of our semi-circle.

The radius is half the diameter, so the radius here would be 24/2 =12

[tex]a = \frac{\pi \times 12 {}^{2} }{2} = \frac{144\pi}{2} = 72\pi = 72 \times 3.14159... = 226.194[/tex]

Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen.



If it continues to snow at the same rate, how many inches of snow would you expect after 6.5 hours? If you get stuck, you can use the table to help.


Do not include units (inches) in your answer.

Write an equation that gives the amount of snow that has fallen after x hours at this rate.



Complete the equation below



y = _______________



Use x as your variable.

Answers

48 inches but turn that into feet

Mike can read 15 pages of a book in 24 minutes.
​At this rate, how many minutes will it take Mike
​to read 45 pages of the book?
​​

Answers

Answer:

72

Step-by-step explanation:

Answer: It will take Mike 72 minutes to read 45 pages.

Plz mark brainliest:)

I bought 6 packs of gummy bears. There were 25 gummy bears in each bag and 20% were yellow. Another 10% were white. How many more yellow gummy bears were there than white gummy bears?

Answers

Answer:

15 (I think)

Step-by-step explanation

6 x 25 = 150

20% of 150 = 30

10% of 150 = 15

30 - 15 = 15

Sorry if this is wrong.

Bye, have a great day/night.

Answer: 15

Step-by-step explanation:

Facts

6 packs

25 per pack

20% are yellow

10% are white

How many more yellow than white?

Step 1: Find total gummy bears

25x6=150

Step 2: Find how many are yellow

20% of 150= 30

Step 3: Find how many are white

10% of 150=15

Step 4: Find the difference

30-15=15

What is the sum of −45 and 23?

Answers

Answer:

-22

Step-by-step explanation:

-45 + 23 = -22

Hi, can someone help me please ?

Answers

Answer:

The answer is d

Step-by-step explanation:

D
hope you get a good grade

PLEASE HELP I NEED THIS NOW ILL GIVE BRAINLIEST

A student spins a spinner that has 3 equal sections labeled A, B, and C and then tosses a six-sided number cube.

What is the sample space for this compound event?


A: {A1, B1, C1, A2, B2, C2, A3, B3, C3, A4, B4, C4, A5, B5, C5, A6, B6, C6}

B: {A, B, C, 1, 2, 3, 4, 5, 6}

C: {ABC1, ABC2, ABC3, ABC4, ABC5, ABC6}

D: {A6, B6, C6}

Answers

Answer:

{A1, B1, C1, A2, B2, C2, A3, B3, C3, A4, B4, C4, A5, B5, C5, A6, B6, C6}

Step-by-step explanation:

I took the test

The sample space of the compound event of spinning a spinner and tossing a six-sided number cube is {A1, B1, C1, A2, B2, C2, A3, B3, C3, A4, B4, C4, A5, B5, C5, A6, B6, C6}, the cartesian product of the sample spaces of the two events. Hence, option A is the right choice.

What is a cartesian product?

An ordered set of sets is used to define a Cartesian Product. It's the collection of all conceivable ordered combinations made up of one member from each of the sets.

The set containing all ordered pairs (p, q), where p is an element of P and q is an element of Q, is the Cartesian product of two sets, P and Q, represented as P*Q.

How do we solve the given question?

We are given that a student spins a spinner that has 3 equal sections labeled A, B, and C and then tosses a six-sided number cube.

Let the event of getting something on spinner be X.

Sample space of X = {A, B, C}

Let the event of getting something on the number cube be Y.

Sample space of Y = {1, 2, 3, 4, 5, 6}

The sample space of the compound event is the cartesian product of sample space of X with sample space of Y.

Sample space of compound event = {A, B, C}*{1, 2, 3, 4, 5, 6}

or, Sample space = {A1, B1, C1, A2, B2, C2, A3, B3, C3, A4, B4, C4, A5, B5, C5, A6, B6, C6}.

∴ The sample space of the compound event of spinning a spinner and tossing a six-sided number cube is {A1, B1, C1, A2, B2, C2, A3, B3, C3, A4, B4, C4, A5, B5, C5, A6, B6, C6}, the cartesian product of the sample spaces of the two events. Hence, option A is the right choice.

Learn more about the Cartesian Product at

https://brainly.com/question/16628099

#SPJ2

What type of problem is always one step?
Question 1 options:


Tax


Tip


Discount


Mark Up


Commission
Question 2 (1 point)


What key words would tell you it's a two step problem? (SELECT ALL)
Question 2 options:


Total Bill


Amount of Savings


Sale Price


Final Cost


Price with Tax


Discount


Commission
Question 3 (1 point)


What is the second step of a tax/tip/markup problem?
Question 3 options:


Adding the Original $ and the Tax/Tip/Markup $


Subtracting the Original $ and the Tax/Tip/Markup $


Adding the Original $ and the Percent


Subtracting the Original $ and the Percent

Answers

Answer:

IT IS COMMISON!!!!!!!!!

Step-by-step explanation:

help please I need to find the area but I don't know how

Answers

Answer:

Let's find the area of the rectangle below since we are given lengths.

Formula for area of a rectangle:

a = w * l, where "w" is the width and "l" is the length

The width is 24 and the length is 8 yards, so let's multiply those;

a = 24 x 8

a = 192 square yards

Now that we have found one of the areas, let's find the triangle above.

Though we are not given the base of the triangle, we can find the triangle's base by adding the other two side lengths beside it and subtract it by the total width.

The other two side lengths are 6 and 6, the total width is 24 as shown under the rectangle.

So we add the two side lengths (6 + 6) = 12, and subtract it from it's total, 24, (24 - 12) = 12

Now that we have found the base of the triangle, we must find the height of the triangle (the dotted line that runs vertically through the triangle).

The height of the rectangle is 8, the total of the dotted line that runs through both the triangle and the rectangle is 16.

Now we just subtract 8 from the total of the dotted line to get our height of the triangle, (16 - 8) = 8, finally we can find the area of the triangle.

Formula for area of triangle;

A = BH x 1/2, where "b" is the base and "h" is the height.

Replace b and h:

A = 12(8) x 1/2

A = 96 x 1/2

A = 96/2

A = 48 square yards

Since we found the area of the two shapes, we must add them to get the total area.

Area of rectangle: 192

Area of triangle: 48

We add;

192 + 48 = 240 square yards, is your answer.

Solve for BRAINLIEST

Answers

Answers:

1. 12m^2 and 8m^3

2. a=v+3, l=v-2

3. No

4. 4.5mm^2

Step-by-step explanation:

1. Surface area:

2m^2 (area of face) * 6 (# of faces)

=12m^2 or 12 square meters.

Volume: (2m)^3=8m^3 or 8 cubic meters.

2. a=v+3, l=v-2

because if we rewrote exactly what the problem says, "Anna is 3 years older than Vickie" that is mathematically a=v+3. Do the same with the other equation.

3. 5.275+8.36g when g=120 is 5.275+1003.2, or 6.278.2, which is more than 6000, so the bridge would not hold Melinda's truck and 120 gallons of water.

4. 2s^2 + 4sh when s=0.5mm and h=2mm:

2*0.25mm^2+4*0.5mm*2mm

=0.5mm^2+4mm^2

=4.5mm^2

I hope I explained these problems well enough. Happy mathing!

What is the value of x given the following image?

Answers

Answer:

[tex]27[/tex]

Step-by-step explanation:

We start by setting an equation.  We have [tex]2x+x+9=90[/tex] which simplifies to [tex]3x+9=90[/tex].  Subtract [tex]9[/tex] from both sides leaves us to solve for x when [tex]3x=81[/tex] divide by [tex]3[/tex] on both sides, we get [tex]x=27[/tex].

<<NoIcE}}

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