The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2). determine the lengths of the outside edges of the garden. write your answer in
simplest form.

Answers

Answer 1

The length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.

What is the scale factor?

In mathematics, a scale factor is the proportion of related dimensions of an object to a description of that object.

Given that:-

The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2)

The length and width of the outside edge will be:-

The sides are Dilated by factor 3 so the edges of the rectangle will be calculated as;-

Length = 3 ( 2x+4 ) = 6x + 12

Width = 3 ( 3x+2 ) = 9x + 6

Therefore the length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.

To know more bout scale factors follow

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The Outside Edges Of The Walkway Form A Rectangle Whose Length And Width Are Proportional To The Sides

Related Questions

four students are trying to determine what number must replace the question (x^2)^7=x^4*x^8 in order to make it true
Joe said the answer is 6. Sam said it is impossible to answer.
Peter said the answer is 32. Alex said the answer is 16.
Who is correct? Explain why.

Answers

Let's solve ourselves instead of believing anyone

[tex]\\ \rm\Rrightarrow (x^2)^7=x^4x^8[/tex]

a^m+a^n=a^m+n

[tex]\\ \rm\Rrightarrow x^{14}=x^{4+8}[/tex]

[tex]\\ \rm\Rrightarrow x^{14}=x^{12}[/tex]

[tex]\\ \rm\Rrightarrow x^{14}-x^{12}=0[/tex]

[tex]\\ \rm\Rrightarrow x^{12}(x^2-1)=0[/tex]

[tex]\\ \rm\Rrightarrow x^2-1=0[/tex]

[tex]\\ \rm\Rrightarrow x^2=1[/tex]

[tex]\\ \rm\Rrightarrow x=\pm 1[/tex]

0 is also a solution

Answer:

Joe is correct

Step-by-step explanation:

Given equation:

[tex](x^2)^?=x^4 \cdot x^8[/tex]

The exponent outside the bracket is a question mark and the students are trying to determine the value of the question mark.

For ease of answering, let y be the unknown number (question mark):

[tex]\implies (x^2)^y=x^4 \cdot x^8[/tex]

First, simplify the equation by applying exponent rules to either side of the equation:

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}\quad\textsf{to the left side}:[/tex]

[tex]\implies (x^2)^y=x^4 \cdot x^8[/tex]

[tex]\implies x^{2y}=x^4 \cdot x^8[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c} \quad \textsf{to the right side}:[/tex]

[tex]\implies x^{2y}=x^4 \cdot x^8[/tex]

[tex]\implies x^{2y}=x^{4+8}[/tex]

[tex]\implies x^{2y}=x^{12}[/tex]

Now, apply the exponent rule:

[tex]x^{f(x)}=x^{g(x)} \implies f(x)=g(x)[/tex]

Therefore,

[tex]x^{2y}=x^{12}\implies 2y=12[/tex]

Finally, solve for y:

[tex]\implies 2y=12[/tex]

[tex]\implies 2y \div 2 = 12 \div 2[/tex]

[tex]\implies y=6[/tex]

Therefore, Joe is correct as the unknown number is 6.

I saw this in a newspaper – it was a puzzle for adults, fully grown humans, but I think you will find it easy.

All the digits from 1 to 9 are used in this grid, but only once. Can you work out their positions in the grid so that each of the six different sums work?

Two of the numbers have been inserted in order to get you started. Just identify the other seven numbers.

(NOTE: perform operations in the order they appear, e.g., 3+4×5=35 (not 23))
a=
b=
c=
d=
e=
f=

Answers

Answer:

d=9

Step-by-step explanation:

any other idea

helpp plss

This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes. cubes boxes number of cubes 1 n 5 625 8 1,000 what is the unknown value representing the unit rate? 8 125 140 156

Answers

The unknown value representing the unit rate is 125.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

This table represents the proportional relationship between the number of boxes and the number of magnetic cubes held by the boxes.

Cubes boxes number of cubes

1 5

n 625

8 1,000

If the unit cube box has 5 number of cubes.

then,

n cubes boxes = 625/5

= 125

The unknown value representing the unit rate is 125.

Learn more about the unitary method;

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Answer:

125

Step-by-step explanation:

URGENT PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The attached graph represent the points in the domain -6 < x ≤ -2

How to graph the points?

The function is given as:

[tex]f(x) = \left[\begin{array}{ccc}-2&-6 < x \le -1\\1&-1 < x \le 2 & \\5 & 2 < x \le 4\end{array}\right[/tex]

The question says that we plot two points in the domain -6 < x ≤ -2

The domain -6 < x ≤ -2 means that the values of x are greater than -6, but they do not exceed -1

The function at this interval means that all values of x have an output value of -2

So, the two points to plot could be (-5,-2) and (-1,-2)

See attachment for the graph of the points

Answers

Answer:

[tex]y=-\frac{3}{4}x+2[/tex]

Step-by-step explanation:

The slope-intercept form is given by y=mx+c, where m is the slope and c is the y-intercept.

Slope of given line= [tex]-\frac{3}{4}[/tex]

Parallel lines have the same slope. Thus, the slope of the line would also be [tex]-\frac{3}{4}[/tex].

[tex]y=-\frac{3}{4}x +c[/tex]

The value of c can be found by substituting a pair of coordinates.

When x= 4, y= -1,

[tex]-1=-\frac{3}{4} (4)+c[/tex]

-1= -3 +c

Add 3 to both sides:

c= -1 +3

c= 2

Thus, the equation of the line is [tex]\bf{y=-\frac{3}{4}x+2[/tex].

Additional:

Do check out the following for a similar question on slope-intercept form!

https://brainly.com/question/25549430

((-7,1). (-3,2). (0, -2). (5, -5)}What are the domain and range of the function represented by the set of ordered pairs?

Answers

Answer:

Domain:{-7,-3,0,5}

Range:{1,2,-2,-5}

Step-by-step explanation:

i know because it works for me.

Which are applications of mathematics in music? Select all that apply.

identifying measurements
calculating beats per minute
calculating the time signature
finding ratios of note frequencies
mapping marching band performances

Answers

Answer:

calculating beats per minute

50% if £80 pls helppp

Answers

Answer:

50%×€80

50/100×80

€40

Step-by-step explanation:

please mark me as brainlest

Answer:

£40

Step-by-step explanation:

▪︎ Method I:

£80 - 100%

£x - 50%

x = (£80 * 50%) / 100% = £40

▪︎ Method II:

50% is one half

Therefore, 50% of £80 is £80 / 2 = £40

. Here is a table that shows the ratio of flour to water in an art paste. Complete the table with values in equivalent ratios.

Answers

You can’t see the table

Sid has a water dispenser in his refrigerator as shown in the figure.
PLS HELP!

A prism has a length of 4 inches, height of 14 inches, and width of 8 inches.

Sid would like to have three water dispensers in his refrigerator. How much cubic space will all three dispensers take up in Sid’s refrigerator?

448 in.3

896 in.3

1,200 in.3

1,344 in.3

Answers

Answer:

c. I'm sorry if I'm wrong

Step-by-step explanation:

hello people, can anybody solve it

Answers

[tex]\\ \rm\Rrightarrow \left(\dfrac{x^a}{x^{-b}}\right)^{a^2-ab+b^2}\times \left(\dfrac{x^b}{x^{-c}}\right)^{b^2-bc+c^2}\times \left(\dfrac{x^c}{x^{-a}}\right)^{c^2-ca+a^2}=1[/tex]

[tex]\\ \rm\Rrightarrow (x^{a+b})^{a^2-ab+b^2}\times (x^{b+c})^{b^2-bc+c^2}\times (x^{c+a})^{c^2-ac+a^2}=1[/tex]

[tex]\\ \rm\Rrightarrow x^{(a+b)(a^2-ab+b^2)}\times x^{(b+c)(b^2-bc+c^2)}\times x^{(c+a)(c^2-ca+a^2)}=1[/tex]

a³+b³=(a+b)(a²-ab+b²)

[tex]\\ \rm\Rrightarrow x^{a^3+b^3}\times x^{b^3+c^3}\times x^{c^3+a^3}=1[/tex]

[tex]\\ \rm\Rrightarrow x^{a^3+b^3+b^3+c^3+c^3+a^3}=1[/tex]

[tex]\\ \rm\Rrightarrow x^{2a^3+2b^3+2c^3}=x^0[/tex]

[tex]\\ \rm\Rrightarrow 2(a^3+b^3+c^3)=0[/tex]

[tex]\\ \rm\Rrightarrow a^3+b^3+c^3=0[/tex]

What expression represents this description? Twice the quantity m plus n

Answers

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find which expression represents the description "twice the quantity m plus n".

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Translate this phrase into an algebraic expression.

First, add m and n:

[tex]\star~\large\pmb{m+n}[/tex]

Now, multiply two times this sum:

[tex]\star~\large\pmb{2(m+n)}[/tex]

See, the parentheses around the sum show that we multiply two times both m and n.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Answer:

2(m + n)

Step-by-step explanation:

The words describe a quantity. "Twice" means two-times the previous amount. m and n are the unknown numbers that are being added, so you must put them in parentheses to indicate that they should be added first.

HELP MEE ,20 POINTS !!!!
Celina says that each of the following expressions is actually a binomial in disguise:
5abc-2a^2+6abc
5x^3∙2x^2-10x^4+3x^5+3x∙(-2) x^4
(t+2)^2-4t
5(a-1)-10(a-1)+100(a-1)
(2πr-πr^2 )r-(2πr-πr^2)∙2r

Answers

Celina says true that each of the following expressions is actually a binomial expression.

What is binomial?

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.

Celina says that each of the following expressions is actually a binomial in disguise:

a. 5abc - 2a² + 6abc = 11abc - 2a²