If the dimensions of a rectangle are 2x + 1 by x + 1, find its area, in terms of x.

Answers

Answer 1

Answer:

3x + 1

Step-by-step explanation:

Area Of a rectangle = L x B

= 2    +  1    +  1

= 2    +    +  1

= 2    +    +  1

= 3    +  1

Answer From Gauth Math


Related Questions

Look at each pattern.
Identify the rule for each pattern.
Pattern A: 0, 3, 6, 9, 12, 15, 18,...
Pattern B: 0, 12, 24, 36, 48, 60, 72, ...

Answers

Answer:

pattern A is going by 3

pattern B is going by 12

Step-by-step explanation:

so you basically just have to add 3 for pattern a and add 12 for pattern B for each number


2y² +4y-48=0
solve the equation​

Answers

Answer:

y = - 6, y = 4

Step-by-step explanation:

Given

2y² + 4y - 48 = 0 ( divide through by 2 )

y² + 2y - 24 = 0

Consider the factors of the constant term (- 24) which sum to give the coefficient of the y- term (+ 2)

The factors are + 6 and - 4 , since

6 × - 4 = - 24 and 6 - 4 = + 2 , thus

(y + 6)(y - 4) = 0

Equate each factor to zero and solve for y

y + 6 = 0 ⇒ y = - 6

y - 4 = 0 ⇒ y = 4

Answer:

Step-by-step explanation:

2y² + 4y - 48 = 0

2y² +  12y -  8y  + (-8)* 6 = 0

         2y(y + 6) - 8(y + 6) =0

                 (y + 6) (2y - 8)= 0

y + 6 = 0    ; 2y- 8 = 0

     y = -6            2y = 8

                             y = 8/2

                             y = 4

Solution: y = -6 , 4

(-3,7), (5,11) what is the slope and can u show me how u got it please ​

Answers

Answer:

The formula for the slope is:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Assign each given point to a variable:

(x₁, y₁) = (-3, 7)(x₂, y₂) = (5, 11)

Substitute in the values into the formula:

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-(-3)}=\frac{4}{8} =\frac{1}{2}[/tex]

Therefore, the slope is 1/2.

Answer:

1/2

Step-by-step explanation:

The formula for slope: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

Plug in:

[tex]\frac{11-7}{5-(-3)}[/tex]

11 - 7 = 4

5-(-3)

5 + 3 = 8

4/8 = 1/2

The slope is 1/2.

Hope this helped.

inverse proportion
it takes 3 hrs for two people to clean six identical rooms.
how long would it take 5 people to clean 20 of the same rooms at the same k rate

Answers

Answer:

4 hours per each room for 5 people

Step-by-step explanation:

you are working with a 30-60-90 right triangle. its longer leg measures 6. What is the length of the hypotenuse

Answers

Answer:

4sqrt(3) = 6.928

Step-by-step explanation:

Ratio of the lengths of the sides of a 36-60-90 triangle:

short leg : long leg : hypotenuse

     1         :  sqrt(3)   :       2

The short leg is sqrt(3) times shorter than the long leg.

The hypotenuse is twice the short leg.

long leg = 6

short leg = 6/sqrt(3)

hypotenuse = 12/sqrt(3)

12/sqrt(3) * sqrt(3)/sqrt(3) = 12sqrt(3)/3 = 4sqrt(3)

Geometry, please answer question ASAP

Answers

Answer:

I'm going to say A and B (I think)

Factor the expression
Thank you so muchh

Answers

Answer:

(x+8)(x-5)

Step-by-step explanation:

x^2 +3x-40

What two numbers multiply to -40 and add to 3

8 * -5 = -40

8+-5 = 3

(x+8)(x-5)

Answer:

(x + 8)(x - 5)

Brainliest, please!

Step-by-step explanation:

(x + )(x - )

Factors of 40: 1 and 40, 2 and 20, 4 and 10, 5 and 8

(x + 8)(x -5)

Find the distance across the lake. Assume the triangles are similar.
80 m
х
у
20 m
60 m

Answers

Answer:

A.   L = 240 m

Step-by-step explanation:

use similar triangle

L / 60 = 80 / 20

L = (80 * 60) / 20

L = 240 m

The required distance across the lake is 240 m. Hence correct option is A.

What are Similar triangles?

Similar triangles, are those triangles which have similar properties i.e. angles and proportionality of sides.

Since, triangles are similar.
The ratio of their sides are also equal
60/20= L/80
L=80 x 3
L = 240 m

Thus, the required distance across the lake is 240 m.

Learn more about similar triangles here:

brainly.com/question/25882965

#SPJ2

3/4a-1/6=2/3a+1/4? Please i need help!!!!

Answers

Answer: a=5

Step-by-step explanation:

1/12a=10/24

24a=120

a= 5

5. Solve the differential equation y" - 5y "+7y'-3y=0.​

Answers

The differential equation

y''' - 5y'' + 7y' - 3y = 0

has characteristic equation

r ³ - 5r ² + 7r - 3 = (r - 3) (r - 1)² = 0

with roots at r = 3 and r = 1 (with multiplicity 2), so that the characteristic solution to the DE is

y = C₁ exp(3x) + C₂ exp(x) + C₃ x exp(x)

Which expression is equivalent to 8f+5f?

Answers

The answer is

8f+5f

=13f

What is the volume of this rectangular prism?
3 cm
cm
1
cm

Answers

Answer:

.75cm³

Step-by-step explanation:

To find the volume of a shape like this it is,

base×height×width.

In this case it is .5×.5×3=.75cm³

Answer:

3/4 or 0.75

Step-by-step explanation:

Length times width times height:

1/2 * 1/2 * 3

= 3/4

Using 20 boxes of nails a carpenter was able to finish 40 bird houses. Write an
equation that can be used to express the relationship between the total number of
birdhouses completed(t)and the boxes of nails(b) used.

Help ASAP!

Answers

Answer: 20 times 2 equal 40/ 40 divided by 2 is 20

Step-by-step explanation: Both of them should help you find the answer

For the given figure, justify the statement ∠1 ≅ ∠2

Answers

Answer:

                   JUSTIFICATION↓

∠1 ≅ ∠2 (∵ Vertically-opposite angles are equal)

Step-by-step explanation:

Since ∠1  lies vertically opposite to  ∠2 and vice -versa , therefore ∠1 and  ∠2 are equal to each other

Find the error in the student's work. Which of the following steps is where the first error occurred?
f(x) = -3x^2 - 2x
Step 1: f(-2) = -3(2)^2 - 2(-2)
Step 2: f(-2) = -3(4) + 4
Step 3: f(-2) = -12 + 4
Step 4: f(-2) = -8
Step 3 should be 12 + 4.
Step 2 should be -3(-4).
O Step 1 should have a -2 substituted for both values.

Answers

Answer:

Step 1 should have a -2 substituted for both values.

Create an equivalent ratio to 35:40 by dividing both sides by 5. What is the equivalent ratio?

Answers

Answer:

35:40 = 7:8 is the equivalent ratio.

Step-by-step explanation:

35 / 5 = 7

40 / 5 = 8

=

7:8

Answer:

the equivalent ratio is 35:40 = 7:8

Step-by-step explanation:

35 divided by 5= 7

40 divided by 5= 8

=7:8

If I get 20 pound a day how much do i make in a month

Answers

Answer:

£600

Step-by-step explanation:

1 months= 30 days

here,

money made in 1 day= £20

now,

money made in 30 days= 20×30

= 600

[:• In one month you earn £600]

Answer:560 pounds

Step-by-step explanation:

If 1 day is equal to 20 pounds, to find how much pounds will you have a month, first check how many days are there in a month. Then multiply the number of days in a month to the given pound in one day.

So =1 month = 28 days

=1 day = 20 pounds

So= 20 pounds × 28 = 560 pounds

please show me the steps to solve this

2n^2 = -144

Answers

Answer: [tex]\large \boldsymbol{} \pmb{6\sqrt{2} i}[/tex]

Step-by-step explanation:

[tex]\large \boldsymbol{} \bf i=\sqrt{-1} \\\\ 2n^2=-144 \\\\n^2=-72 \\\\n=6\sqrt{2} i[/tex]

[tex]\\ \sf\longmapsto 2n^2=-144[/tex]

[tex]\\ \sf\longmapsto n^2=\dfrac{-144}{2}[/tex]

[tex]\\ \sf\longmapsto n^2=-72[/tex]

[tex]\\ \sf\longmapsto n=\sqrt{-72}[/tex]

[tex]\\ \sf\longmapsto n=8.4i[/tex]

Find the Length of the missing side of the right Triangle using the Pythagorean Theorem. Round your answers to
the nearest tenth. Please show your work in the "Show your work" text box. Draw a Picture!
The size of a television screen is given by the length of the diagonal of
the screen. What size is a television screen that is 21.6 inches wide and
16.2 inches high?
Show Your Work
O 22.5 in
18.4 in
27 in
O 13.2 in

Answers

Answer:

27 inches

Step-by-step explanation:

We can use The Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

21.6 ^2 + 16.2^2 = c^2

466.56+262.44 = c^2

729 = c^2

Taking the square root of each side

sqrt(729) = sqrt(c^2)

27  = c

What is the radical equivalent for 197^7/8?

Answers

Answer:

[tex]\sqrt[8]{197^{7} }[/tex]

Step-by-step explanation:

[tex]\sqrt[8]{197^{7} }[/tex]

Question 1(Multiple Choice Worth 5 points) (07.02 LC) Celine is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a fair 12-sided die labeled with the numbers 1 through 12. How many outcomes are in the sample space for pulling a marble out of the box and rolling the die? 48 32 16 8

Answers

Answer: 48

Step-by-step explanation:

Given, A box has a white, a green, a blue, and an orange marble.

Total possible outcomes of pulling marbles = 4

There is also a fair 12-sided die labeled with the numbers 1 through 12.

Total possible outcomes of rolling the die = 12

By Fundamental counting principle , we have

Possible outcomes are in the sample space for pulling a marble out of the box and rolling the die = (Total possible outcomes of pulling marbles ) x (Total possible outcomes of rolling the die)

= 4 x 12

= 48

Hence, the correct answer is "48".

60 vehicles parked on the driveway 1/4 of them were trucks. How many trucks?

Answers

Answer:

15 trucks

Step-by-step explanation:

If there are a total of 60 vehicles, and 1/4 of them are trucks, we can multiply 60 by 1/4 to get our answer. Or because 1/4 is split into fourths, we can divide 60 by 4 to also get our answer.

Hope this helps!

1/4 of 60 is 15.

There were 15 trucks. Hope this helps.

What is the equation of a circle centered at (1,-4) and a diameter 18?

Answers

Answer:

(x - 1)² + (y + 4)² = 81

Step-by-step explanation:

Circle Formula: (x - h)² + (y - k)² = r²

(h, k) is the center

2r = d

Step 1: Find r

18 = 2r

r = 9

Step 2: Plug known variables into formula

(x - 1)² + (y + 4)² = 9²

Step 3: Evaluate

(x - 1)² + (y + 4)² = 81

Answer:

(x-1)^2 + (y+4)^2 = 81

Step-by-step explanation:

The equation of a circle can be written as

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

The center is ( 1,-4)

and the radius is d/2 = 18/2 = 9

(x-1)^2 + (y- -4)^2 = 9^2

(x-1)^2 + (y+4)^2 = 81

Evaluate the expression when a= 5 and x= -2 -a+6x Thankyou ! !

Answers

The equation would be -5+(-12), so the answer would be -17 :)

Answer:

[tex]\boxed{-17}[/tex]

Step-by-step explanation:

Hey there!

If x is -2 and a is 5 then we can plug those in,-a + 6x.

-(5) + 6(-2)

-5 + -12

= -17

Hope this helps :)

Select the equations of the lines that are parallel to the line whose equation is y= 3x +5.
-3x + y = 8
3y = 9x
y=- jx
16x + 2y = 12

Answers

Answer:

-3x + y = 8.

3y = 9x.

Step-by-step explanation:

To find the slope of the lines we convert to slope-intercept form, which is

y = mx + c   (m is the slope.)

The slope of y = 3x + 5 is therefore 3.

Parallel lines have the same slope.

Finding the slope of the given lines:

-3x + y = 8

y = 3x + 8  - slope is 3 so this is parallel to  y = 3x + 5.

3y = 9x

Divide through by 3:

y = 3x  - so this is also parallel to 3x + 5.

y = -jx  The slope is -j so it is not parallel.

16x + 2y = 12

2y = -16x + 12

y = -8x + 6  - Not parallel.

Mrs . Garrett has 24 students in her class , if 14 students are girls , what is the ratio of girls to the total number of students in her class ?

Answers

14 / 24. Or 7 / 12. These are the answers

Find the probability distribution for the following function: P(x)=x/2+1 for x=4,6, and 8

Answers

56 because i just took the test ps this is wrong i just need the points

Adam has the difference between two-thirds of bretts book and two thirds of charlies books.If brett has 72 books and charlie has 72 books how many books does adam have

Answers

Answer:

48

Step-by-step explanation:

Adam has 2/3 of books that brett and charlie have : 2/3 of 72 wich is 48

x-7[tex]\sqrt[2]{x}[/tex] +19

Answers

Answer:

Okay please complete your question:)

Step-by-step explanation:

The math problem is incomplete...

What’s is the formula for the fill arithmetic sequence? -9,-2,5,12

Answers

Answer:

a +d = a2

Step-by-step explanation:

-2 - (-9) =

-2+9=7

a + d = a2

Other Questions
[tex]\int\limits^9_3 {\frac{1}{(x+21)\sqrt{x+22} } } \, dx[/tex] Question 1 William Whipple, American Hero We are used to thinking of the American Founding Fathers as heroes. They took on the British Empire, the greatest military force at the time, and defied a king. As representatives of their home communities, they took great risks to draft a document explaining the reasons to seek independence. Speaking out against the king was considered treason and would have resulted in financial ruin and even death for anyone caught. For one of the signers of the Declaration of Independence, though, the act of signing was more than just the act of rebellion we know all the signers for. For William Whipple, the signing was a commitment to liberty that few signers lived up to. According to the book Lives of the Signers to the Declaration of Independence, William Whipple was born in Kittery, Maine, in 1730. William attended public school and took a job on a merchant ship shortly after finishing. His sea voyages were very successful, and when he retired from the sea he had made a small fortune. With that fortune, William became a successful businessman in Portsmouth before the Revolution. In part because of his success in business, he was elected to represent his community at the state congress. In 1775, he was selected as a delegate to the Continental Congress in Philadelphia. He participated in the congress, ultimately signing his name, with many others, to the document that launched the rebellion. War came shortly after the signing, and William was appointed to serve in the militia assigned to protect New Hampshire. At the time he began his military service, William owned a slave like most of his peers. The slave, named Prince, would have been expected to join William and serve with him in battle. As they were preparing to leave, Prince told William, "I have no freedom to fight for, sir." Seeing the truth in this, William is reported to have freed Prince immediately. Today, we look back on history through a great fog of time, and with lenses clouded by our own modern values. Our Founding Fathers displayed admirable courage in crafting and signing such a brilliant claim to human liberty. The idea that all people were created equal and endowed with certain rights was revolutionary in every way. The idea that government's job was to protect this equality and these rights was also revolutionary. We can admire the signers' commitment to these principals, and also know that the issue of slavery divided the nation from the signing until long after the end of the Civil War. We would perhaps have had a different history if more of the signers, like Whipple, had seen the cruel irony in declaring the oppression of Britain unjust and at the same time oppressing an entire race of people. 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