An architect is designing square windows with an area of(x2 + 16x +64) ft?. The dimensions of the
windows are of the form ax +b, where a and b are whole numbers.
Part 1 out of 2
Find an expression for the perimeter of the windows.
The perimeter of the square is represented by
(x+
6 ft.

Answers

Answer 1

A) The dimensions are (x+10) by (x+10).

B) The perimeter is given by 4x+40.

C) The perimeter when x is 4 is 56.

The quadratic can be factored by finding factors of c, the constant, that sum to b, the coefficient of x.  Our c is 100 and our b is 20; we want factors of 100 that sum to 20.  10*10=100 and 10+10=20, so those are what we need.  This gives us (x+10)(x+10 for the factored form.  

Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10).  Using the distributive property we have 4*x+4*10=4x+40.

To find the perimeter when x=4, substitute 4 into our perimeter expression:

4*4+40=16+40=56.

Answer 2

Answer:

A) The dimensions are (x+10) by (x+10).

B) The perimeter is given by 4x+40.

C) The perimeter when x is 4 is 56.

Step-by-step explanation:

I filled two notebook papers to solve this


Related Questions

Is the formula V=LWH or V=BH or A=BH
PLEASE HELP!

Answers

Answer:

It's A=BH

Step-by-step explanation:

In the story the key words are there: Area, base/length, height

Answer:

It's A=BH

Step-by-step explanation:

Solve for x.
3x - 4 = 2x - 10
O x = 6
OX= -6
OX= 14
O x=-14
Please help
Will give you brainly

Answers

Answer:

x = -6

Step-by-step explanation:

We have the equation 3x - 4 = 2x - 10 and are asked to find "x".

To solve , we need to get "x" alone entirely.

3x - 4 = 2x - 10

Subtract 2x from both sides :

x - 4 = -10

Add 4 to both sides to get our answer :

x = -6

Answer:

the answer is equal to-6

213=22: Z=14 Select True or False for each equation as is state
O True
O False
5x=25

Answers

Truest sense that the world of war in my opinion was gon in my own name in

What is the volume of this figure? A:320 inches cube, B:400 inches cube, C: 480 inches cube or, D:560 inches cube?

Answers

Answer:

480 in³

Step-by-step explanation:

15x4x4=240

10x4x4=160

5x4x4=80

240+160+80=480

Help please! Due today! ​

Answers

Answer:

D. (2x-7)

Step-by-step explanation:

Split the equation into two equations by splitting -9x. Make sure that these can be factored further.

(2x² - 2x) + (-7x+7)

2x(x-1) -7(x-1)

create factors using GCFs (2x and -7) and the common factor (x-1)

(2x-7)(x-1)

D. (2x-7)

What is the volume of the cone below?

O A. 5082 units 3
O B. 3388 units
O C. 924 units 3
D. 10,164units 3

Answers

The answer is 3388 units

Answer: 3388

Step-by-step explanation:

The ratio of boys to girls at Louisiana Middle School is 3:5. There are currently 1,600 students enrolled. How many students at Louisiana Middle School are boys?

Answers

600 students at Louisiana Middle School are boys.

4)
The first play of a football game resulted in a loss of 9 yards. Which absolute value statement describes the loss of yards?

Answers

Answer:

|-9| = 9

That is the absolute value for the loss of yards

What does the unknown number round to when rounded to the nearest whole?

Answers

Answer:

0

Step-by-step explanation:

The perimeter of the rectangle below is 108 units. Find the length of side VW.

Answers

Answer:

can u add a pic or any other measuremeants?

Step-by-step explanation:

1.6 x 0.7 =
plsss help

Answers

Answer:

1.12

Step-by-step explanation:

Answer:

1.12

Step-by-step explanation:

What is the consequence of L'hopital's Rule?​

Answers

Answer:

So, L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit. (Brainliest? :3)

Step-by-step explanation:

Solve the system 8y-5z=23 3y-2z=6

100 POINTS

Answers

Answer:

z = 21 ; y= 16

Step-by-step explanation:

first of all we have to isolate a variable.

In second expression we can obtain:

3y = 2z+6

y = 2/3 z + 2

now we have to substitute this value in the first equation and solve it

8(2/3z+2)-5z = 23

16/3z + 16 -5z = 23

16z +48 - 15z = 69

z = 21

now we have to substitute z in the second equation:

y = 2/3 (21) +2

y = 14+ 2 = 16

y = 16

Factor out the greatest common factor

Answers

Answer:

7x

Step-by-step explanation:

7x(5x-7)

brainliest pls!

Answer:

7x

Step-by-step explanation:

I need help!!!!! It’s urgent

Answers

Answer:

do a line conforming to the table  days=x    sales =y

Step-by-step explanation:

Stephanie earns $750 a month. she gives
30% of the money to charity. How much money
does Stephanie give charity?

Answers

Answer:

she gives 225

Step-by-step explanation:

750×30% equals to 225

Answer:

Stephanie gives $225 to charity a month

Step-by-step explanation:

$750 / 100 = 7.5

7.5 x 30 = 225

7.5 x 70 = 525

700 - 525 = 225

What is the distance between the points (-6, 2) and (-4, 7)? Round to the nearest tenth if necessary.

Answers

Answer: distance is 5.4

Step-by-step explanation: distance between points (X1,y1) and (x2,y2) is

√(x2-X1)² + (y2-y1)² = √[(-4-(-6))² + (7-2)²] = √(2²+ 5²) =√29

The distance between the points (-6, 2) and (-4, 7) is 5.4 units.

What is the distance formula?

The distance between any two points (x₁, y₁) and (x₂, y₂) can be determined using the distance formula according to which,

Distance = √((x₂ - x₁)² + (y₂ - y₁)²).

How do we solve the given question?

We are asked to find the distance between the points (-6, 2) and (-4, 7).

We will determine the distance using the distance formula, by which

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

or, Distance = √(((-4) - (-6))² + (7 - 2)²)

or, Distance = √((-4 + 6)² + (7 - 2)²) = √(2² + 5²) = √(4 + 25) = √29

Distance = √29 = 5.385165 = 5.4 (rounding to the nearest tenth).

∴ The distance between the points (-6, 2) and (-4, 7) is 5.4 units.

Learn more about the Distance Formula at

https://brainly.com/question/7243416

#SPJ2

If we used the quadratic expression below to complete a diamond, which pair of values would go on the SIDES of the diamond?
x^2 - 4x + 5
a. 5 and -1
b. -5 and 1
c. -4 and 1
d. 4 and -1
e. no solution

Answers

9514 1404 393

Answer:

  e. no solution

Step-by-step explanation:

You would be looking for factors of +5 that have a sum of -4. There are none (no solution). None of the values offered in the answer choices have a product of +5.

__

The discriminant of the quadratic is (-4)² -4(1)(5) = -4, so the roots are complex.

The length of a rectangle is twice the width. The perimeter of the rectangle is 24 feet.
What is the length of the rectangle?
Let x = the width of the rectangle.
Which let statement would you use for the length?

Answers

Let the width be x cm

Length = 2x cm

Perimeter = 2 ( x + 2x) = 42

3x = 21

x = 7 cm

ANSWER Length 14cm , Width = 7cm

PLEASE HELPP !


The graph shows one of the linear equations for a system of equations. Which equation represents the second linear equation for the system of equations that has the solution which corresponds to a point at (6, -2)?

A. 1/3x + 3y = 4
B. 1/3x + 4y = -4
C. 1/3x + 2y = -2
D. 1/3x + 2y = 2

Answers

Answer:

C. 1/3x + 2y = -2

Step-by-step explanation:

Using the point slope form of an equation

y-y0 = m(x-x0)

Get the slope m

Get the x and y intercept of the equation

Using the expression  1/3x + 2y = -2

x intercept occurs at y = 0

1/3x + 0 = 2

1/3 x = 2

x = 3 * 2

x = 6

y intercept occurs at x = 0

0+ 2y = 2

2y = -2

y = -1

Hence the required equation is C. 1/3x + 2y = -2

Yo can y'all help a brother out trying to pass.

First image is the answer choices for all the questions

Second Image is the questions.

Answers

Answer:

P' (-1,-4) N'(-5,0) U'(-2,1)

Step-by-step explanation:

which statement is true?

Answers

Answer:

a because i just know it

Solve 4^x=12 by taking the natural log of both sides

Answers

Answer:

3

Step-by-step explanation:

Find the exact value of x p

Answers

Answer:

x = 9.6

Step-by-step explanation:

sin Q = 16/20 Q = 53.13° from the big triangle

16/20 = x/12

192 = 20x

x = 9.6

Choose Yes or No to tell if the number 3.23 will make each equation true.

4.65 + □ = 7.88
Choose...


□ + 6.42 = 9.45
Choose...


2.85 + □ = 6.08
Choose...


□ + 8.49 = 10.72
Choose...

Answers

Answer:

yes

no

yes

no

Step-by-step explanation:

i think its right

Answer:

4.65 + □ = 7.88

Choose... Yes!

□ + 6.42 = 9.45

Choose...No

2.85 + □ = 6.08

Choose...Yes!

□ + 8.49 = 10.72

Choose...No

Step-by-step explanation:

Sorry if I'm wrong.

Find the missing fraction. 1/2 + blank = 7/8

Answers

Answer:

j

Step-by-step explanation:

a group of students measure the distance a toy car has traveled after different amounts of time. A table of the data is shown. The students want to perform and analysis of the date set and consider removing the outlier point. Select all of the quantities that will change if the outlier point is removed from the data set.

Data set:
Time (seconds) distance (meters)
5. 1.0
6. 1.2
7. 2.4
8. 3.3
9. 3.7
10. 11.0
11. 4.2
12. 3.7
13. 4.8
14. 4.5
15. 4.9

Answers

Answer:

In this given set of data the outliers point is the distance at 10 seconds i.e 11 meters.

If the outlier point is removed the best fit line, regression value of two variables i.e time and equation of the curve along with slope will change.

Step-by-step explanation:

In this given set of data the outliers point is the distance at 10 seconds i.e 11 meters.

If the outlier point is removed the best fit line, regression value of two variables i.e time and equation of the curve along with slope will change.

Please find the attach graph

Answer:

The mean and range of distance change

Step-by-step explanation:

Blake gives plano lessons in the evenings. He earns $20 for each plano lesson and has between 0 and 6 lessons each evening. The amount he
earns in an evening depends on the number of lessons he gives. What is the range of this relation?
A. {0, 20, 40, 60, 80, 100, 120)
B.Osys 120
C. {0, 1, 2, 3, 4, 5, 6)
D. O sys 6
WILL GIVE BRAINLIEST

Answers

Answer:D

Step-by-step explanation:

Answer:

A. {0, 20, 40, 60, 80, 100, 120)

Step-by-step explanation:

:)

A rectangle and a square have the same area. a. The width of the rectangle is w inches. The length of the rectangle is 15 inches less than 4 times the width of the rectangle. Write a polynomial to represent the area of the rectangle. b. The side of the square is w inches. Write a polynomial to represent the area of the square. c. Write an equation such that the area of the rectangle is equal to the area of the square. d. Solve the equation in part (c) to find the side length of the square. e. What are the length and the width of the rectangle?

Answers

9514 1404 393

Answer:

  a) w(4w-15)

  b) w²

  c) w(4w -15) = w²

  d) w = 5

  e) 5 by 5

Step-by-step explanation:

a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.

  A = w(4w -15)

__

b) If w is the side length, the area of the square is (also) the product of length and width:

  A = w²

__

c) Equating the expressions for area, we have ...

  w(4w -15) = w²

__

d) we can subtract the right side to get ...

  4w² -15w -w² = 0

  3w(w -5) = 0

This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.

The side length of the square is 5 units.

__

e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.

The rectangle and square have the same width and the same area, so the rectangle must be a square.

Please help I need answer ASAP

Answers

Answer:

A. The length is 1.5 inches and the width is 1 inch.

Step-by-step explanation:

If we assume the two scale factors are related, then 1:10 is half of 1:20, so half of 3:2 is 1.5:1.

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