Find the perimeter of the rectangle.

Find The Perimeter Of The Rectangle.

Answers

Answer 1

Answer:

10x² + 8x + 22

Step-by-step explanation:

The perimeter of a rectangle is the measurements of all four side lengths added together

(you can simply multiply both side lengths by 2, because they are the same on both sides--but I'll write them all out for clarity)

side A (top): 5x² + 3x + 7

side B (right): x + 4

side C (bottom): 5x² + 3x + 7

side D (left): x + 4

perimeter = side A + side B + side C + side D

5x² + 3x + 7 + x + 4 + 5x² + 3x + 7 + x + 4

now, as you might have noticed, this is a long equation

so, we must combine like terms:

(this is the problem reordered so like terms are next to each other:)

(5x² + 5x²) + (3x + x + 3x + x) + (7 + 4 + 7 + 4)

10x² + 8x + 22

So, the perimeter of this rectangle is 10x² + 8x + 22

hope this helps! have a lovely day :)


Related Questions

Find f(5) for f(x)=1/4(2)^x
A. 2
B. 4
C. 32
D. 8

Answers

Step-by-step explanation:

The value of X is given so put the value of X in 1/4 (2)^x

A 16 -foot ladder is leaning on a tree. The bottom of the ladder on the ground at a distance of 6 feet from the base of the tree. The base of the tree and the ground form a right angle. What is the distance, in feet, between the ground and the top of the ladder? Round your answer to the nearest tenth.

Answers

Answer:

14.8 feet

Step-by-step explanation:

since this is creating a right triangle you can use the Pythagorean theorem which is a^2 + b^2 = c^2, and by plugging in the one leg length and the hypotenuse length you get 14.8324 which rounds up to 14.8

The  distance between the ground and the top of the ladder is 14.8 feet.

What is Pythagoras theorem?

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

Hypotenuse= 16 foot,

Base = 6 feet

Using Pythagoras theorem,

H² = B² + P²

16² = 6² + P²

256 = 36 +P²

P² = 256-36

P= 14.83 feet

Hence, the distance between the ground and the top of the ladder is 14.8 feet.

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If you rolled two dice, what is the probability
Give
that you would roll a sum of 5?
your answer as a simplified fraction. Enter
the
number that belongs in the green box.
second
first
1 2
3 456
1 1,1 1,2 1,3 1,4 1,5 1,6
2 2,1 2,2 2,3 2,4 2,5 2,6
3 3,1 3,2 3,3 3,4 3,5 3,6
§
4 4,1 4,2 4,3 4,4 4,5 4,6
5 5,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3
6,4 6,5 6,6

Answers

Answer:

Probability of rolling a sum of 5 is 1/9.

There are 36 different combinations because 6(first roll)*6(second roll) = 36. The only possible combinations are {1,4},{2,3}{2,3}and{4,1}

4/36 = 1/9

The expression to find the perimeter of a rectangle is 2(length + width). What is the perimeter, in units, of a rectangle of length fraction 1 over 7 unit and width fraction 1 over 2 unit?

fraction 1 and 1 over 7 units
fraction 1 and 2 over 7 units
fraction 4 over 9 unit
fraction 2 over 9 unit

Answers

The perimeter of the rectangle is 1 1/7 units

Perimeter of a rectangle

The formula for calculating the perimeter of a rectangle is given as:

P = 2(l + w)

Given the following

length. = 1/7 units

width = 1/2 units

Substitute

P = 2(1/7 + 1/2)

P = 2(9/14)

P = 9/7 = 1 1/7

Hence the perimeter of the rectangle is 1 1/7 units

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In the diagram of AABC shown below, DE || BC.
B
A
3) 3
4) 15
E
If AB= 10, AD = 8, and AE = 12, what is the
length of EC?
1) 6
2) 2
C
dd or create
k as done
nments
As
to Susan Guha

Answers

Answer:

3

Step-by-step explanation:

AD/AB = AE/AC

8/10 = 12/AC

AC = 12(10/8)=15

EC = 15 - 12 = 3

factor the following expression

28w^(4)x^(2)y^(7)+12w^(9)x^(8)

Answers

The expression after factorisation is 4w⁴x² (7y⁷ + 3w⁵x⁶)

What is an Expression ?

An expression is defined as a mathematical statement consisting of variables , constants and mathematical operators.

The expression given is

28w⁴x²y⁷+12w⁹x⁸

Factors of the given expression will be the common terms in both the terms

w⁴x² is common in the variable term

The HCF of 28 and 12 is 4

4w⁴x² (7y⁷ + 3w⁵x⁶)

The expression after factorisation is 4w⁴x² (7y⁷ + 3w⁵x⁶)

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The information below explains the transformations and translations of a logarithmic function. What is the equation for this function?
 Shift 4 units left
 Shift 3 units up
 Vertical Compress by 1/3
 Horizontal stretch by 3

Fill in the table below for the information of the function f(x) = log[-(x – 5)] + 4
Function
Log[-(x - 5)] + 4
Domain
Range
Interval of Increase/Decrease
Equation of Asymptote

Answers

The transformed function is y = 1/3(log(x/3 + 4)) + 1

How to transform the logarithmic function?

The parent logarithmic function is

y = log(x)

When shifted left by 4 units, we have:

y = log(x + 4)

When shifted up by 3 units, we have:

y = log(x + 4) + 3

When compressed vertically by 1/3, we have:

y = 1/3(log(x + 4) + 3)

This gives

y = 1/3(log(x + 4)) + 1

When stretched horizontally by 3, we have:

y = 1/3(log(x/3 + 4)) + 1

Hence, the transformed function is y = 1/3(log(x/3 + 4)) + 1

The transformation of function f(x)

We have:

f(x) = log[-(x – 5)] + 4

Set the radicand greater than 0

-(x - 5) > 0

Divide by -1

x - 5 < 0

Add 5 to both sides

x < 5 -- this represents the domain

A logarithmic function can output any real number.

So, the range is [tex]-\infty < f(x) < \infty[/tex]

In the domain, we have:

x < 5

This means that the interval of decrease is [tex]-\infty < x < 5[/tex]

Rewrite as an equation

x = 5 --- this represents the equation of asymptote

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Practice Problems
1. The absolute value of a number is its distance from 0 on the
number line (no sign, just value). Compare the absolute value of
7 and -7.

Answers

Answer: The absolute values of 7 and -7 are equal because they are both a distance of 7 units from 0 on the number line.

Which of the following segments is a radius of OK?
M
K
OA. KM
B. MR
C. RT
D. MT
SUB

Answers

Answer:

  A.  KM

Step-by-step explanation:

A circle is named by its center. Circle K has its center at point K.

A radius is a line segment that extends from the center of the circle to a point on the circle. Point K must be one end of any radius.

Application

Segment KM is a radius.

Segments between points on the circle are chords. The other named segments in the answer choices are all chords of the circle.

Using the model from the example above, where f(x)=10001+999e−0.6030x, estimate the number of cases of flu on day 15. Remember that answers should be rounded to the nearest whole number.

Answers

The number of cases of flu on day 15 will be 1001 flus


Exponential functions

Exponential functions are expressed as y = ab^x

Given the expression below

[tex]f(x)=10001+999e^{-0.6030x}[/tex]

In order to determine the number of cases of flu on day 15, we will substitute x = 15 into the expression to have:

[tex]f(x)=10001+999e^{-0.6030(15)}\\f(x)=10001+999e^{-9.045}\\f(15) = 10001+0.11786\\f(15) \approx 10001[/tex]

Hence the number of cases of flu on day 15 will be 1001 flus

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Answer:

Step-by-step explanation:

Evaluate the function for the value x=15.

f(x)f(15)f(15)=10001+999e−0.6030x=10001+999e−0.603(15)≈894.565217

Rounded to the nearest whole number, there will be 895 cases on day 15.

Calculate the volume of a cylinder of radius 5cm and height 14cm (take pie 22/7)

Answers

Answer:

Volume of a cylinder = 1,100cm³

Step-by-step explanation:

Volume of a cylinder = πr²h

Given

π = 22/7

r = 5cm

h = 14cm

Substitute the given information in the problem.

Volume of a cylinder = 22/7 × (5cm)² × 14cm

Volume of a cylinder = 22/7 × 25cm² × 14cm

Volume of a cylinder = 1,100cm³

can you show me how can i solve sin(pi/2-x)=1/2??

Answers

By simplifying the equation [tex]$\:sin\left(\frac{\pi }{2}-x\right)=\frac{1}{2}[/tex], we get [tex]$x= -2n\pi +\frac{\pi}{3}[/tex] and

[tex]$x= -2n\pi -\frac{\pi}{3}[/tex].

What are trigonometric Identities?

Trigonometric Identities exist as the equivalencies that apply trigonometry operations and have true for all the values of variables shown in the equation. There exist different trigonometric identities concerning the side length as nicely as the angle of a triangle.

How to simplify the equation [tex]$\:sin\left(\frac{\pi }{2}-x\right)=\frac{1}{2}[/tex]?

Given:

[tex]$\:sin\left(\frac{\pi }{2}-x\right)=\frac{1}{2}[/tex]

General solution for [tex]$\:sin\left(\frac{\pi }{2}-x\right)=\frac{1}{2}[/tex]

then from the general equation, we get

[tex]$\frac{\pi}{2}-x = \frac{\pi}{6}+2n\pi[/tex] and

[tex]$\frac{\pi}{2}-x = \frac{5\pi}{6}+2n\pi[/tex]

Solve [tex]$\frac{\pi}{2}-x = \frac{\pi}{6}+2n\pi[/tex] then [tex]$x= -2n\pi +\frac{\pi}{3}[/tex]

Solve [tex]$\frac{\pi}{2}-x = \frac{5\pi}{6}+2n\pi[/tex]then [tex]$x= -2n\pi -\frac{\pi}{3}[/tex]

Therefore, [tex]$x= -2n\pi +\frac{\pi}{3}[/tex] and [tex]$x= -2n\pi -\frac{\pi}{3}[/tex]

Radians, [tex]$x= -2n\pi +\frac{\pi}{3}[/tex] and [tex]$x= -2n\pi -\frac{\pi}{3}[/tex]

Degree, [tex]$x = 60 \degrees- 360\degree n[/tex], [tex]$x = -60\degree- 360\degree n[/tex]

By simplifying the equation [tex]$\:sin\left(\frac{\pi }{2}-x\right)=\frac{1}{2}[/tex], we get [tex]$x= -2n\pi +\frac{\pi}{3}[/tex] and

[tex]$x= -2n\pi -\frac{\pi}{3}[/tex].

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Use the function below to find F(3).

Answers

Answer: B

Step-by-step explanation:

Plug in x for 3. Then solve.

4*(1/3)^3

4*1/9

4/9

C
plug in x for 3
4*(1/3)^3
4*(1/27)
4/27

choose the equation below that represents the line passing through the point (-2,-3) with a slope of -6

Answers

The equation of the line is: y + 3 = -6(x + 2) [point-slope form] or y = -6x - 15 [slope-intercept form].

How to Write the Equation of a Line?

Given a point (-2, -3) and a slope (m) of -6, you can write the equation of the line in point-slope form by substituting (a, b) = (-2, -3) and m = -6 into y - b = m(x - a):

y - (-3) = -6(x - (-2))

y + 3 = -6(x + 2) [point-slope form]

Rewrite in slope-intercept form as:

y + 3 = -6(x + 2)

y + 3 = -6x - 12

y = -6x - 12 - 3

y = -6x - 15 [slope-intercept form]

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Following the recommended steps for solving equations, what should be your first step in solving the given
equation?
2x-3-4x-2x = -6
A. add 3 to both sides
B. subtract 4x from 2x
C. add 6 to both sides
D. add 4x to 2x

Answers

Answer:

The first step in solving the equation should be to add 3 to both sides.

Step-by-step explanation:

Adding 3 to both sides will cancel out the -3 on the left hand side of the equation, leaving only the 2x term. On the right hand side, adding 3 will cancel out the -6, leaving only 0. This will give you the equation 2x = 0, which is much easier to solve.

please helpppppppppp thanks!

Answers

Answer:

First one is false. (You are correct)Second is true. (a will be greater than 0)Third is also false. (a can't be equal to 0)

Hope it helps!!

Answer:

[tex]a < 0[/tex]   False

[tex]|a| > 0[/tex] True

[tex]|a|=0[/tex]  False

________________________________________________

a is on the right side of 0,

which means a is positive.

The absolute value is the distance to zero (always positive)

Which means the absolute value of a is also positive.

[tex]a < 0[/tex]   is wrong because a is positive

[tex]|a| > 0[/tex]  is correct because a is larger than 0

[tex]|a|=0[/tex]  is wrong because [tex]a[/tex] ≠ [tex]0[/tex]

________________________________________________

Hope this helps :)

what are the coordinates of the point hat is 2/3 of the way from A to B?

Answers

Answer:

A. (2,3)

It is rather simple the 9 points between a and B 2/3 of that is 6

Use the function below to find F(4).

Answers

Answer:

A. 81

Step-by-step explanation:

F(x)=[tex]3^{x}[/tex]

if x=4, then F(4) = [tex]3^{4}[/tex] = 3×3×3×3=81

write this ratio as a fraction in simplest form without any units. 3 pounds to 54 ounces

Answers

The ratio of the measurements written as a fraction is 8/9.

What are the ratios written as fraction?

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.

In order to convert the ratio to fraction, the units of measurements have to be the same. So, pounds would be converted to ounces.

3 x 16 = 48 ounces

48 / 54 = 8/9

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Which expression is equivalent to (3x² + 4x-7)(x-2)?
OA. (3x2 + 4x-7)(x) + (3x² + 4x-7)(-2)
OB. 2x(3x² + 4x-7)
OC. x(3x² + 4x-7) - 2
OD. x(3x² + 4x-7)+2(3x² + 4x-7)

Answers

Answer: A

Step-by-step explanation:

The expressions are equivalent by the distributive property.

If f(x) = x..........

Answers

Answer:

b.) 0

Explanation:

⇒ f(g(-1))

go from right to left while solving such function questions.

⇒ f(-1 + 2)

⇒ f(1)

⇒ (1)² -2(1) + 1

⇒ 0

Step-by-step explanation:

[tex]f(x) = {x}^{2} - 2x + 1[/tex]

[tex]f(x) = {(x - 1)}^{2} [/tex]

[tex]g(x) = x + 2[/tex]

[tex] \: [/tex]

[tex] = f(g( - 1))[/tex]

[tex] = {(x - 1)}^{2} [/tex]

[tex] = {((x + 2) - 1)}^{2} [/tex]

[tex] = {(( - 1 + 2) - 1)}^{2} [/tex]

[tex] = {(1 - 1)}^{2} [/tex]

[tex] = {0}^{2} [/tex]

[tex] = 0[/tex]

The answer is B.

Erica earned a total of $15,450 last year from her two jobs. the amount she earned from her job at the store was $1250 more than four times the amount you earn from her job at the college how much. how much does he earn from her job at the college

Answers

If Erica earned a total of $15450 last year from both the jobs then he earns $2840 from college if she earned 1250 more than four times the amount from college from store.

Given Total amount earned=$15450,Amount earned from store is 1250 more than 4 times earned from college.

Amount from store forms an equation.

let the amount earned from college is x.

According to question:

Amount earned from store=4x+1250

Amount earned from college=x

Total amount earned=4x+1250+x

5x+1250=15450

5x=15450-1250

5x=14200

x=14200/5

x=2840

Put the value of x in 4x+1250 to get amount earned from store=4(2840)+1250=$12610.

Hence the amount earned by Erica from college is $2840.

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The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height(y), in mm, to which it grows:
Y=2+4x
What does the y- intercept of this function represent?

Answers

the original height of the plant was 2mm. The correct option is the second one.

What does the y-intercept of the function represent?

We know that the function:

y = 2 + 4x

Represents the height of a plant in mm, as a function of x, the hours kepts in sunlight.

The y-intercept is the value that y takes when we evaluate in x = 0.

So, the y-intercept is the height of the plant when it is exposed to zero hours of light.

In this case:

y = 2 + 4*x

Evaluating in x = 0

y = 2 + 4*0 = 2

This means that the original height of the plant was 2mm. The correct option is the second one.

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Which expression is equivalent to -1/6y+1/3?

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equivalent to -(1/6)y + 1/3 is,

-(1/6)y + 1/3

Take 1/6 common from both first and the last term,

1/6 (-y + 2)

Hence, the correct option is C.

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A house has increased in value by 37% since it was purchased. If the original value was $720, 000, what is the value after the increase? A house has increased in value by 37 % since it was purchased . If the original value was $ 720 , 000 , what is the value after the increase ?​

Answers

Answer:$986,4000



Step-by-step explanation:

someone help for easy points

Answers

Answer:

First one

Step-by-step explanation:

First one ....pick a point ....say C    for 'x'   add 8    for y   subtract 3  and you will be at C'

Using the image, find the distance between the points given on the graph. Distance =√

Answers

Answer:

I think 5m is the correct answer

Answer:

Hello! The answer to your question is [tex]\sqrt{29}[/tex], or approximately 5.39.

Step-by-step explanation:

(Two methods)

Method 1:

To solve this problem, we will use the Pythagorean theorem. To create the triangle, you can connect all the points with lines. This will leave you with the base of the triangle as 2 and the leg as 5. We do not know the hypotenuse. Now, we can use the Pythagorean theorem formula:

[tex]a^2 + b^2 = c^2[/tex]

[tex]\sqrt{2^2 + 5^2 } \\= \sqrt{4 + 25} \\= \sqrt{29}\\or 5.39[/tex]

Now, we can substitute our values:

Method 2:

To solve this problem, we will use the distance formula:

[tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

Our points are:

A(-3, 1) and B(-1, -4)

Now, we substitute our values into the distance formula provided:

[tex]\sqrt{(-1 - (-3))^2 + (-4 - 1)^2} \\= \sqrt{(-1 + 3))^2 + (-5)^2} \\= \sqrt{(2)^2 + (-5)^2} \\= \sqrt{4 + 25} \\= \sqrt{29} \\or 5.39[/tex]

The function g(x)=8(4x) is reflected across the x-axis to create f(x) What is the equation of f(x)?

Answers

Answer:

g(x)=-32x

Step-by-step explanation:

When something is reflected over the x-axis. The x doesn't change, it's the y that changes. So let's just generally say you have the point (x, y). Reflecting this over the x-axis means the y is changing, so it becomes (x, -y). And since the g(x) represents the y, you multiply the entire thing by -1. So the new equation becomes: g(x) = -(8(4x)) = -8(4x) = -32x. So the equation is g(x) = -32x or -8(4x) if you want to leave it like how it was before.

The number is between 8,500 and 8,800.
When multiplied by 8, the result is a whole number.
The digit in the hundreds place is ¾ the digit in the thousands place.
The sum of all digits in the number is 26.
The digit in the hundredths place is 200% of the digit in the tenths place.
There are no zeros in the decimal places.

Your first job is to post at least two numbers that do NOT work.
Explain why they do not work.
Post your best guess for a number that works (or a number that almost works)

Answers

The number is 8,639. Why? Well, see below!

We can use variables ABCD to Stand in place of the numbers.

A + B + C + D = 26

Since the number is between 8,500 and 8,800, A is 8.

The digit in the hundreds place is 3/4 of the thousands place, so:

8 x 3/4 = 24/4
24/4 reduces to 6
B = 6

The digit in the hundreds place is 200% of the digit in the tens place, so:

6 / 2 = 3
C = 3

The last step is simple! Since we have our values, we can use inverse operations to solve.

8 + 6 + 3 + D = 26
17 + D = 26
26 - 17 = 9
D = 9

Hence, your number is 8,639.


Two numbers that will not work:

7 in the thousands place would not work. It would not work because the problem says that the number is between 8,500 and 8,800, and would therefore mean the number can be 8,500 at least.

Another number that would not work would be 2 in the hundreds place. This number would not work because a 1 would be in the tens place, and 3 + 8 = 11. This seems right, but it isn’t because 11 + 15 = 26. That would mean that in order to add up, the digits would have to expand higher than 8 in the thousands place and we would possibly need to use the ten thousands place.

If you need help, let me know and I will gladly assist you.


A table has an area of x² + 12x + 35. Find the possible dimensions of the table.

Answers

Answer:

x + 7 and x + 5 are possible dimensions

Step-by-step explanation:

x² + 12x + 35 ← factor the quadratic

consider the product of the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (+ 12)

the factors are + 7 and + 5 , since

7 × 5 = + 35 and 7 + 5 = + 12 , then

x² + 12x + 35 = (x + 7)(x + 5) ← in factored form

now the area A = length × breadth , that is

A = x² + 12x + 35 = (x + 7)(x + 5) , then

length = x + 7 or x + 5

breadth = x + 5 or x + 7

Other Questions
There are 20 boys and 18 girls in a class. Find the percentage of(i) boys in the class(ii) girls in the class Jeanine often bites her nails whenever she is nervous, prompting looks from strangers and her co-workers. According to Freud, Jeanine is most likely stuck in the stage of development known as the Question 9(Multiple Choice Worth 5 points)(05.02 LC)Which of the following possibilities will form a triangle?O Side 15 cm, side = 6 cm, side = 8 cm=O Side 15 cm, side = 6 cm, side = 9 cmSide = 16 cm, side = 9 cm, side = 6 cmSide = 16 cm, side = 9 cm, side = 8 cm Michelle must write a bad-news message to her staff telling them that their hours next month will be reduced. She has just completed Phase 1 of the prewriting process and is beginning Phase 2. What should she do first I realllyyyyyyyy need the correct answer to pass this course!!! Thank you!!! :)Based on the graph, what conclusion can be drawn about the impact of the 19th Amendment?It led to near-total participation of registered voters in presidential elections.It ensured that eligible citizens throughout the nation would be allowed to vote.It brought about the largest percentage increase in voter participation in US history.It completed the advance toward universal suffrage started by the 15th Amendment. If you were a professor required to give a grade (A-F) to the government of the United State of America, what would it be and why? A list of consecutive integers begins with m and ends with n. If n - m = 66, how many integers are in the list? What is the narrator's primary struggle throughout the story?OA. To win the affection of GeraldOB. To define who she isOC. To get out of the barrioOD. To convince her parents of her political beliefsS Halons and cfcs both _______. a. inhibit ozone formation b. cause ozone formation in the troposphere c. destroy ozone in the stratosphere d. cause excess ozone formation in the stratosphere please select the best answer from the choices provided a b c d Quincy is the HR manager who is preparing for the launch of a new product line. The company needs to know how many new customer service representatives to add to help customers with questions and concerns about the existing and new products. To guide the company, Quincy needs information about the number of employees currently providing customer service, the number likely to be in those jobs next year, and the number expected to move to other positions in the organization. The information will be easier to organize and interpret if Quincy uses a(n) Find the Area-Rectanglea = x +3b = 2x - 1 The speed of light is 186,282 miles per second write the place name and the value of each eight in this number Solve for y: -20x + 10y = 30 The number of patients treated at Dr. Jason's dentist office each day was recorded for seven days: 9,6, 18, 2, 13, 3, 5. Using the given data, find the mean, median, and mode for this sample.OA. mean: none, median: 6, mode: 8B. mean: 6, median: 8, mode: noneC. mean: 8, median: 6, mode: noneOD. mean: 18, median: 8, mode: 6Reset Selectione If you mix 100 g of ice at 0 c with 100 g of boiling water at 100 c in a perfectly insulated container, the final stabilized temperature will be. How do l do this?? So confused please help me Line AB contains points A (8,-4) and B (1, -5). The slope of line AB is Is it possible to have organ rejection even with a perfect match? According to the SPIN questioning system, the purpose of _________ is to assist a buyer in thinking about the potential consequences of a problem and understand the urgency of resolving the problem in a way that motivates him or her to seek a solution. Though it is less risky than the introduction of other types of new products and may add new customers, a ________Blank also has the twin dangers of increasing expenses and cannibalizing current products.