The perimeter of a rectangle is 160 feet. If the length of the rectangle is 28 feet more than the width, what are the dimensions of the rectangle?

Answer:

1/16m^2 -2*1/4m*2n+4n^2

If you want to write it in more simple picture :

1/16m^2 -mn +4n^2

Answer:

[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]

Step-by-step explanation:

Given the polynomial

[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]

Expanding and simplifying

[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]

as 1/4 = 4/m, so

[tex]=\left(\frac{m}{4}-2n\right)^2[/tex]

Apply perfect square formula:  [tex]\left(a-b\right)^2=a^2-2ab+b^2[/tex]

[tex]=\left(\frac{m}{4}\right)^2-2\cdot \frac{m}{4}\cdot \:2n+\left(2n\right)^2[/tex]

simplifying

[tex]=\frac{m^2}{4^2}-mn+2^2n^2[/tex]

[tex]=\frac{m^2}{16}-mn+4n^2[/tex]

Therefore,

[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]

Answer:

Communitive Property

Step-by-step explanation:

Commutative property = 2 + 3 = 3 + 2 or 2(3) = 3(2)

Associative Property = (2 x 3) 5 = 2 (3 x 5) or (2 + 3) + 5 = 2 + (3 + 5)

Inverse Property = 2 + (-2) = 0 or (2/1)(½) = 1

Basic Definitions:

Commutative Property - Gives you the ability to switch the order of the numbers in an expression.

Associative Property - Let's you move the parenthesis in an expression but not the numbers.

Inverse - Uses numbers like 0 and 1.

Using these basic definitions and examples, we can summarize that the best answer would be Communitive Property

Answer:

If my math is right

is it -24?

Step-by-step explanation:

Answer:

D. 32 feet

Step-by-step explanation:

A tree is 12 feet tall and casts a 9-foot shadow.

The shadow is 3/4 the length of the tree (9/12 = 3/4).

We know the shadow of a nearby building is 24 feet long.

That would be 3/4 of the height of the building.

So, fidn the reciprocal of 3/4 (4/3) and multiply by 24.

24/1 * 4/3

Cross-cancellation

8/1 * 4/1

8 * 4

The building is 32 feet tall, which is D.

Answer:

(a) These are the same function

Step-by-step explanation:

Given

[tex]x + x^2[/tex] and [tex]u + u^2[/tex]

Required

Are they the same?

Yes, they are the same function and this is proved below.

[tex]x + x^2[/tex]

Represent as a function:

[tex]f(x) = x + x^2[/tex]

[tex]u + u^2[/tex]

Represent as a function

[tex]f(u) = u + u^2[/tex]

Let x = u

Substitute u for x in [tex]f(x) = x + x^2[/tex]

[tex]f(u) = u + u^2[/tex]

This implies that:

[tex]f(x) = f(u)[/tex]

[tex]x + x^2 =u + u^2[/tex]

PS: The information that x and u are real numbers are for all real numbers; So, we can not assume that x and u are different numbers

Hence:

(b) and (c) are wrong

Answer:

(n-5)(n+5)

Step-by-step explanation:

n^2-25

(n-5)(n+5)

Step-by-step explanation:

f(x) = 2.5x - 10.5 and g(x) = 64(0.5)^x

When x = 2,

When x = 3,

When x = 4,

When x = 5,

When x = 6,

Therefore we can see that f(x) = g(x) = 2 when x = 5.

Hence the solution is x = 5.

Answer:

You should have 95 bananas.

Step-by-step explanation:

multiply 19 by 5.

Answer:

95 bananas ..I'm here for the points

Answer:

Step-by-step explanation:

The product of mean is 350 is not true

Option B is the correct answer

The false statement is the product of mean 350.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

10:18=35:63

So, 10/18 = 35/63

Here 10 & 63 -Extremes

and, 18 & 35= mean

so, product of extreme= 10 x 63= 630

and, product of mean= 18 x 35 = 630

Also, sum of Extremes = 10 + 63 = 73

and, sum of mean = 18 + 35= 53

Hence, the product of mean 350 is not true.

Learn more about proportion here:

https://brainly.com/question/29774220

#SPJ2

Answer:

298

Step-by-step explanation:

given data

total friend = 4

total profit in the first month = 438

two months each friend profit = 184

solution

we consider here total profit second month is = x

so

profit second month = 184 × 4 - 438

x = 736 - 438

x = 298

so that here profit that car wash making the second month is 298

Answer:

no its 1749

Step-by-step explanation:

9514 1404 393

Answer:

  a) $336

  b) $1036

Step-by-step explanation:

a) The interest is computed using the formula ...

  I = Prt

where P is the amount invested at rate r for t years.

  I = $700·0.08·6 = $336

The interest earned is $336.

__

b) The balance of the account is the sum of the original amount and the interest earned:

  balance = $700 +336 = $1036

The balance of the account is $1036.

Answer:

1558.99

Step-by-step explanation:

Answer:

-1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2(3x - 1) ≥ 4x - 6

Step 2: Solve for x

Here we see that any value x greater than or equal to -2 would work as a solution.

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim( h to 0 )[tex]\frac{x+h+\frac{1}{x+h }-(x+\frac{1}{x} ) }{h}[/tex]

      = lim(h to 0) [tex]\frac{x+h+\frac{1}{x+h}-x-\frac{1}{x} }{h}[/tex]

      = (lim(h to 0) [tex]\frac{h+\frac{1}{x+h}-\frac{1}{x} }{h}[/tex]

      = lim( h to 0 ) [tex]\frac{hx(x+h)+x-(x+h)}{hx(x+h)}[/tex]

      = lim( h to 0 ) [tex]\frac{hx(x+h)+x-x-h}{hx(x+h)}[/tex]

      = lim(h to 0 ) [tex]\frac{hx(x+h)}{hx(x+h)}[/tex] - [tex]\frac{h}{hx(x+h)}[/tex]

Cancel the numerator/denominator of first fraction and h in the second

= lim ( h to 0 ) 1 - [tex]\frac{1}{x(x+h)}[/tex] ( let h go to zero ), then

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

Answer:

Total cost after x days = 100 + 5(x)

Step-by-step explanation:

Given:

Fixed cost = $100

Per day charges = $5

Find:

Total cost after x days

Computation:

Assume;

Number of days = x

Total cost after x days = $100 + $5(x)

Total cost after x days = 100 + 5(x)

Answer:

just subtract the area of the rectangle from the area of the carpet

fine I'll do it

Area of a rectangle= lb

Area of a square= a^2

Area of the remaining area= lb - a^2

= (12*4) - (2*2)

= 48-4

= 44 ft^2

Answer:

294

Step-by-step explanation:

7*7=49

49*6=294

Answer:

congruent, alternate exterior

Step-by-step explanation:

For the first question, the angles are congruent (they are not complementary because they dont add p to 90 degrees, and they are not supplementary because they dont add up to 180 degrees so they must be congrunet)

For the second- they are alternate exterior (i know that they are on the outisde so they are exterior)

Answer:

Step-by-step explanation:

lets mijdkdefbdhnrr

Answer: D 1+5=5+1

Step-by-step explanation: Commutative property of addition Changing the order of addends does not change the sum.

Answer:

56.55m³

Step-by-step explanation:

use a calculator, not brainly

Answer:

y is 1/3 of x

Step-by-step explanation:

x:y is 3:1

mathematically, we have this as;

x/y = 3/1

x = 3y

or y = x/3

So the correct answer is that y is 1/3 of x

Answer:

Yes it is 10

Step-by-step explanation:

Answer: 82.25 minutes

Step-by-step explanation:

First convert the minutes she took to hours. This would be:

= 35/60

She is reading at a speed of 20 pages per 35/60 hours.

To finish 47 pages therefore, she will take:

= (47 * 35/60) / 20

= 1.37083 hours

Converted to minutes that would be:

= 1.37083 * 60 mins

= 82.25 minutes

Answer:

D. The graph has a positive rate of change

Step-by-step explanation:

The graph's slope, or rate of change, is positive, which means that D is your answer.