Given a square with side lengths represented by the function f(x)=2x+5, find the square.
A. 2x^2+10x+25
B. 4x^2+20x+25
C. 4x^2+20x+10
D. 2x^2+5x+10

Answers

Answer 1

Answer:

[tex]B. 4x^2+20x+25[/tex]

Step-by-step explanation:

The length of the side:

[tex]2x+5[/tex]

In a square all sides have the same length.

And the area of a square is given by the formula:

[tex]Area=(length)^2[/tex]

so, substituting that the length is [tex]2x+5[/tex]

[tex]Area=(2x+5)^2[/tex]

and we solve this squared binomial with the formula:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

in this case [tex]a=2x[/tex] and [tex]b=5[/tex]

thus, we get:

[tex]Area= (2x)^2+2(2x)(5)+(5)^2[/tex]

and solving:

[tex]Area=4x^2+20x+25[/tex]

which is option B.


Related Questions

What is the coordinate rule for a dilation centered at (0,0) with a scale factor of 3?

15 POINTS

No picture given.

Answers

Answer: (0,0)

Step-by-step explanation:

To find the scale factor of coordinates, you have to multiply the x and y by the scale factor, which is 3.

0 × 3 = 3

0 × 3 = 3

Answer is (0,0)

The rule would be : (x, y) --> (3x, 3y).

Final answer:

The coordinate rule for a dilation centered at (0,0) with a scale factor of 3 is (x', y') = (3x, 3y).

Explanation:

A dilation is a transformation that changes the size of a figure without altering its shape. The coordinate rule for a dilation centered at (0,0) with a scale factor of 3 is given by the equation:

(x', y') = (3x, 3y)

This means that each coordinate of the original figure is multiplied by the scale factor to find the corresponding coordinate of the dilated figure.

Jessica owns a base salary of $150 every week with an additional 40% commission on everything she sells if Jessica is sold $1650 worth of items last week what was her total pay?

Answers

Answer:$2,310

You set up dash equals dash 1,650 over 100% and x over 140% you would then cross multiply and divide. You would multiply 1,650 and 140 which give you 231000 the divide that by 100 and that gives you $2,310

The volume of a cube can be found using the equation V=S3, where V is the volume and Sis the measure of one side of the cube. Match the equation for how to solve for the side length of a cube to its description.

Answers

Answer:

s = ∛729 in³

Step-by-step explanation:

Since the volume is 729 in³, our equation can be plugged into:

729 = s³.

Isolate s by cube rooting each side: ∛729 = s.

Brainliest! To best answer! Better answer fast or no brainliest!
Which of the following is a statistical question?
A.
How many questions are there on Ben's math test?
B.
What are the shoe sizes of players on the soccer team?
C.
How many chocolates did Bertha sell today?
D.
How many students are there in Kathy's class?

Answers

Answer:

B

Step-by-step explanation:

A statistical question has to be a question that can be answered by collecting data that varies.

Answer:

B.   What are the shoe sizes of players on the soccer team?

Step-by-step explanation:

A statistical question is one that can be answered by collecting data and where that data will vary.

We do not need to collect data to determine the number of questions on Ben's math test.

There is no variability in the number of chocolates Bertha sells in one day, nor in the number of students in Kathy's class.

To determine the shoe sizes of players on the soccer team, we must collect the data and the data will vary from player to player.  This is the statistical question.

I WILL AWARD BRAINLIEST!!! PLEASE HELP!!! Find the areas of the trapezoids.

Answers

10 1/2
Hope This Helps!

Answer:

A = 10.5 units^2

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2(b1+b2) *h

b1 = 5

b2 = 2

h = 3

I found these by looking at the graph

A = 1/2(5+2) *3

A =1/2(7)3

A = 10.5 units^2

Plz help me with it

Answers

Answer:   [tex]\bold{2\sqrt[3]{15} }[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{10} \cdot \sqrt[3]{12} =\sqrt[3]{2\cdot 5\cdot 2\cdot 2\cdot 3} =2\sqrt[3]{3\cdot 5} =\boxed{2\sqrt[3]{15}}[/tex]

How many oatmeal cookies are @ the party?

Answers

Answer:

15 oatmeal

Step-by-step explanation:

Add by 5 for each one

Answer: 15 Oatmeal Cookies

Step-by-step explanation: 8 Boxes 3 Boxes For Oatmeal Rasian 3x5 = 15

Janet is 6 years younger than Safiya.How old is each girl if the suk of their ages is 26

Answers

Answer:

20.  26-6=20

Step-by-step explanation:

he product of ten and a number is greater than the difference of four times the number and two.

Answers

Answer:

You can use 1 as a solution.

Step-by-step explanation:

10 + 1 = 11

1 * 4 = 4

4 - 2 = 2

11 > 2

Please help me with this math homework ​

Answers

Basically you have to find the graph that goes through the middle of the line or points to it.

I know you can do it! If you have any questions just reply.

Which point represents the center of the circle below ?

Answers

The center point is point O

lliana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number
of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number
of plants if p= 3?

Answers

Answer:

29

Step-by-step explanation:

if p=3, then as the question asks, we must cube it and add 2.

3 cubed is 27, plus 2 is 29.

T=29

where t is the total number of plants.

or t=(p^3)+2

Answer:

D

Step-by-step explanation:

What is 7.07106781187 rounded to the nearest hundredth?

Answers

7.07 is the right answer to 7.07106781187 rounded to the nearest hundredth

Yeah 7.07. I would agree.

A. What is the name of the 3D shape?
b. What is the formula for total surface area for this shape?
c. What is the surface area of the figure?

Answers

Check the picture below.

so then, let's notice, this triangular prism is really just 2 triangles and 3 rectangles stacked up to each other at the edges.

so if we simply get the area of each of those figures, and sum them up, that'd be the area of the prism.

notice, the triangles have a base of 4 and a height/altitude of 3.

[tex]\bf \stackrel{\textit{2 triangles}}{2\left[ \cfrac{1}{2}(4)(3) \right]}~~+~~\stackrel{\textit{inclined rectangle}}{(5\cdot 11)}~~+~~\stackrel{\textit{ground rectangle}}{(4\cdot 11)}~~+~~\stackrel{\textit{standing rectangle}}{(3\cdot 11)} \\\\\\ 12+55+44+33\implies 67+77\implies 144[/tex]

Sales of different ice cream flavors at a small ice cream shop were recorded for one week. The graph shown here displays the sales of each different flavor.Vanilla-6 Chocolate-14 Strawberry-10 Butter Pecan-6 Cookie Dough-4 Moose Tracks-8
What is the mean of the data?
A)6
B)7
C)8
D)9

Answers

Mean = Sum of all data divided by number of data

= (6 + 14 + 10 + 6 + 4 + 8) / 6 = 8. (C)

The required mean value fo the given data is 8. Option C is correct.

Given that,
Vanilla-6 Chocolate-14 Strawberry-10 Butter Pecan-6 Cookie Dough-4 Moose Tracks-8,
mean value of the given data is to be determined.

What is mean?

The mean of the values is the ratio of the total sum of values to the number of values.

What is Statistic?

Statistic is the study of mathematics that deal with relations between comprehensive data.

Here,
Number of values = 6
Mean  = sum of the values/number of values
mean = [6 + 14 + 10 + 6 + 4 + 8]/6
Mean = 48 / 6
Mean = 8

Thus, the required mean value fo the given data is 8. Option C is correct.

Learn more about mean here:

https://brainly.com/question/15397049

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what is w + 5? I need help!

Answers

5w if it did not give a problem where you could figure out what w is.
It is 5w. 5 add the w.

URGENT EASY 59 POINTS What is the distance between the points (5, 14) and (18, 3)?

Answers

Answer:

[tex]\large\boxed{\sqrt{290}}[/tex]

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points (5, 14) and (18, 3). Substitute:

[tex]d=\sqrt{(18-5)^2+(3-14)^2}=\sqrt{13^2+(-11)^2}=\sqrt{169+121}=\sqrt{290}[/tex]

Answer:

17.03

Step-by-step explanation:

Hope this helped!

HELP! PLZ I NEED THIS ASAP

Answers

Answer:

[tex]2x^{4}+x^{3}-x+2[/tex]

Step-by-step explanation:

To find which one is prime, let's try to factor them all. We can use the factoring by grouping method.

[tex]x^{3}+3x^{2}-2x-6[/tex]

[tex]x^{3}+3x^{2}[/tex]and[tex]-2x-6[/tex]

[tex]x^{2}(x+3)[/tex]and[tex]-2(x+3)[/tex]

So this one is not prime, since you can still factor it.

[tex]x^{3}+2x^{2}-3x-6[/tex]

[tex]x^{3}+2x^{2}[/tex]and[tex]-3x-6[/tex]

[tex]x^{2}(x-2)[/tex]and[tex]3(x-2)[/tex]

So this one is not prime, since you can still factor it.

[tex]4x^{4}+4x^{2}-2x-2[/tex]

[tex]4x^{4}+4x^{2}[/tex]and[tex]-2x-2[/tex]

[tex]4x^{3}(x+1)[/tex]and[tex]-2(x+1)[/tex]

So this one is not prime, since you can still factor it.

[tex]2x^{4}+x^{3}-x+2[/tex]

[tex]2x^{4}+x^{3}[/tex]and[tex]-x+2[/tex]

[tex]x^{3}(2x+1)[/tex]and -x+2 cannot be further factored.

Therefore, [tex]2x^{4}+x^{3}-x+2[/tex] is a prime.

What is the solution to the proportion 8/x = 4/5

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ Since 8/x is two times the size of 4/5, you multiply by 2

4/5=8/10

X=10

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

A quadrilateral has angle measures of 102°, 84°, and 77°. What is the measure of the fourth angle?

Answers

Answer:

Measure of the 4th angle = 360-(102+84+77)

= 360-263

= 97°

Hope this helps!

dentify the percent, amount, and base in this problem. 75% of what number is 30?

Answers

Answer:

40

Step-by-step explanation:

This is essentially just (4/3), or [tex]\frac{3}{4}^{-1}[/tex]. (4/3)*30 = 40, so our answer must be 40. Just to check, taking 75 percent of 40, we indeed get 30!

For this case we must find a number of which 30 represents 75%. For this, we make a rule of three:

x ------------> 100%

30 ----------> 75%

Where the variable "x" determines the base number of which 30 is 75%

[tex]x = \frac {100 * 30} {75}\\\\[/tex]

[tex]x=40[/tex]

Thus, 30 represents 75% of 40.

Answer:

40

What is the measure of angle 1

Answers

Answer:

86

Step-by-step explanation:

if u add the angle #'s on the INSIDE, itll give 94, since a triangle isnt obtuse, it would have to add up to 180, subtract 94 from 180 and u get the answer :)

hope this helps

Answer:

Angle 2 = 180 -29 -65 = 86

Angle 1 = 180 -86 = 94 degrees

Step-by-step explanation:

Which Line is longer?
A.——————————
B.—————

Answers

Answer:

Line A is longer because i can see

Step-by-step explanation:

Using the coordinates of two points (84,80) and (74,65) determine the slope of the line of best fit

Answers

Answer:

2/3

Step-by-step explanation:

Given in the question two points

(84,80) and (74,65)

Here

x1 = 84

x2 = 74

y1 = 80

y2 = 65

Slope of line means gradient of line and formula to calculate gradient of line is

gradient = [tex]\frac{x2-x1}{y2-y1}[/tex]

plug values in the formula

[tex]\frac{74-84}{65-80}[/tex]

[tex]\frac{-10}{-15}[/tex]

cancel - sign

[tex]\frac{10}{15}[/tex]

2/3 is the gradient of line having coordinates (84,80) and (74,65)

Please help study island answers plz
if a and b are real numbers and if a>b and b =7 then >_ 8. Which Of the following is a counterexample to the assertion above?
A) a=6.5
B) a = 7.5
C) a= -8.5
D) a=8.1

Answers

Answer:

B

Step-by-step explanation:

if a is greater then b and b=7 and A< 8  7.5 is the only one that fits the description

Option B) a = 7.5 is the correct

The question is asking which option is a counterexample to the assertion that if a and b are real numbers with a > b and b = 7, then a ">=_" 8. To find a counterexample, we need an instance where a is greater than b (which is 7), but a is not greater than or equal to 8.

A) a=6.5 cannot be the correct answer because it is not greater than b. B) a = 7.5 is indeed greater than b=7, but it is less than 8 which makes it the correct counterexample. Both C) a= -8.5 and D) a=8.1 are not counterexamples; the former is less than b, and the latter is greater than 8.

Therefore, option B) a = 7.5 is the correct counterexample because it satisfies the condition a > 7 but does not meet the incorrect assertion that a is also ">=_" 8.

Please help?? Thank you very much in advance

Answers

all i can say is the square root of 17 is 4.1 thats all i know

Answer:

C

Step-by-step explanation:

Use the distance formula.

We have the points (0,0) and (8,sqrt17)

This basically means sqrt(8^2+sqrt(17)^2)

Which amounts to

sqrt(64+17)

Which is

sqrt(81)

Which is 9.

need help with number 29

Answers

Answer:

9c

Step-by-step explanation:

Collecting like terms

We can do 8-6 which is 2

and then 2 add 7 which is 9

Add c

Type in all the digits of Pi

I have a picture. Type in all of them. Get 30 points.

Answers

Answer:

PI= 3.1415926535897932384624338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058

Pi is a Mathematics constant that represents the ratio of a circle's circumference to its diameter. Its decimal representation is approximately 3.14.

The value of Pi is a mathematical constant that represents the ratio of a circle's circumference to its diameter.

The decimal representation of Pi is approximately 3.14159265358979323846264338327.

However, it is important to note that Pi is an irrational number, which means its decimal representation goes on infinitely without repeating.

Learn more about Mathematics here:

https://brainly.com/question/27235369

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The probable question may be:

Type in all the digits of Pi

I have a picture. Type in all of them. Get 30 points.

A slice of PI

******************

****************

3.14159265358979

323846264338327

95028841971693

9937510582097

 494459230781

  64062862089

   9862803482

     534211706

      79821480

       8651328

        230664

         70938

          4460

           955

            05

             8

In the coronet plane, what is the length of the line segment that connects points at (5, 4) and (-3, -1)? Enter your answer in the box. Round to the nearest hundredth. ___units

Answers

Answer:

9.43

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points (5, 4) and (-3, -1). Substitute:

[tex]d=\sqrt{(-3-5)^2+(-1-4)^2}=\sqrt{(-8)^2+(-5)^2}=\sqrt{64+25}=\sqrt{89}\approx9.43[/tex]

Find the surface area of a cylinder

Answers

A = 2•3.14•3•8 + 2•3.14•3^2 = 207.34512

Answer:

Surface area = 207.24 in²

Step-by-step explanation:

Remember to always convert the diameter into a radius.

D = 6 in (divide it by two to get the radius) R = 3 in

Radius = 3 in

Formula:

SA = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex]r²

Solution:

SA = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex]r²

SA = 2(3.14)(3)(8) + 2(3.14)(3)

SA = 2(3.14)(3)(8) + 2(3.14)(9)

SA = 150.72 + 56.52

SA = 207.24 in²

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