Which of the following is NOT a SOLUTION to the inequality shown? *
y> 2x - 3
A. (4,3)
B. (-1,5)
C. (-2,-5)

Answers

Answer 1

The equation D show the multiplication property of inequality if n+4 =11

What is inequality?

inequality, In mathematics if a statement of an order relationship—greater or greater than or equal to, less than, or less than or equal between two number or algebraic expressions.

An inequality show the relationship between two values in an algebraic equations that are not equal.

Sol-

If n+4 =11

Then by applying the product rule -

(n+4)×2 =11×2

So the correct option is D.

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Related Questions

Part A: Timothy said that triangle KLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy correct? Explain your answer or show your work by listing the coordinates of the primage and image and showing the scale factor



Part B: Are the two triangles similar? Explain.

Answers

a. Timothy is correct regarding the dilation, considering the vertices of each triangle.

b. The two triangles are similar, as they have congruent angle measures.

What is a dilation?

A dilation occurs when each of the vertices of a polygon is multiplied by a constant, which is called scale factor.

The effects of a dilation are given as follows:

Congruence is lost, as the side lengths will be different due to the multiplication by the scale factor.Similarity is kept, as the side lengths are proportional, hence the angles remain constant.

The vertices of each triangle in this problem are given as follows:

Triangle KLM: K(-1,3), L(8,4) and M(10,-3).Triangle K'L'M': K'(-1.5, 4.5), L'(12, 6) and M'(15, -4.5).

The scale factor is obtained by the division of any of the equivalent factors, hence:

k = 4.5/3 = 1.5.

Confirming that Timothy's statement regarding the scale factor of the dilation is correct.

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you wish to survey people who have brought in their cars for service during the past month. you decide to choose a random sample of gas stations in the city and then survey all customers from those stations who had work done during the past month. this procedure is an example of which type of sampling?

Answers

An illustration of "Cluster sampling" is the practice of selecting a random sample of the city's gas stations, and then surveying every station's patrons.

Define the term Cluster sampling?In cluster sampling, a population is divided into clusters, which have been smaller groups. They but choose a sample at random from these clustersOften employed to investigate huge populations, typically those that are substantially geographically distributed, cluster sampling is a probability sampling technique. Often, clusters used by researchers have been groups like cities or schools.

As per the given question.

People who brought their autos in for service over the past month should be surveyed. You make the decision to selecting a haphazard sample of the city's petrol stations, after which you interview all of their patrons whom have work done on their vehicles well within previous month.

Thus, an implementation of "Cluster sampling" is the practice of randomizing sample of the city's gas stations, and thereafter surveying every station's patrons.

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help i have no clue what this even means

Answers

Case 1: largest surface area: 2120 sq. in.

Case 2: smallest surface area: 1380 sq. in. of the wooden block.

What is defined as the cuboid?A three-dimensional shape called a cuboid is described as having six rectangular face, eight vertices, and twelve edges.Twelve edges plus eight vertices and corners to up a cuboid.

For the given question, the dimensions of the wooden block are given.

Length l  = 50 inchesWidth w = 5 unitsHeight h = 2 units

Surface area of a cuboid is = 2lw + 2lh + 2 hw

Case 1: largest surface area.

To get the largest surface area, join the wooden cube along length 50 cm.

Total length = 50 + 50 + 50 = 150 inches.

Put in formula.

Surface area = 2×150×5 + 2×5×2 + 2×2×150

Surface area = 2120 sq. in.

Case 2: smallest surface area.

To get the smallest surface area, join the wooden cube along height 2 cm.

Total length = 2 + 2 + 2 =8 inches.

Put in formula.

Surface area = 2×8×50 + 2×50×5 + 2×5×8

Surface area = 1380 sq. in.

Thus, the smallest surface area of the wooden cube is found as  1380 sq. in.

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The correct question is-

There are 3 identical wooden blocks that are 50 inches long, 5 inches wide and 2 inches thick. If you glue them together , what is the largest and smallest outer surface area can get?

equation of the line that passes through the points (1,-4)(1,−4) and (5,-1)(5,−1). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Answers

The equation of the line in the slope-intercept form will be y = (3/4)x + 13/4.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The points are given below.

(1, −4) and (5, −1)

The equation of the line that passes through (1, −4) and (5, −1) will be given as,

(y + 4) = [(−1 + 4) / (5 − 1)](x − 1)

y + 4 = (3/4)x − 3/4

y = (3/4)x + 13/4

The equation of the line in the slope-intercept form will be y = (3/4)x + 13/4.

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Find the x- and y-intercepts of the graph of 4x - 9y = 20. State each answer as an
integer or an improper fraction in simplest form.

Answers

What is y- intercept?The point where a graph contacts the y-axis is known as the y intercept. Any point on the y-axis has an x-coordinate of 0, as is known. Therefore, a y-x-coordinate intercept's is 0.The slope-intercept version of the equation for the line is y=mx+b. b is the line's y-intercept according to the specification of the slope-intercept form itself. You can experiment by changing x=0 to 0 to y=mx+b to check if the y-intercept changes to b. As a result, the slope-intercept form of the equation of a line's y-intercept is (0, b) or b.

Calculation

Find the dependent variable by itself: [tex]y= \frac{4x}{9} -\frac{20}{9}[/tex]

Find the function's x-intercept: x= 5

Find the dependent variable by itself: [tex]y= \frac{4x}{9} -\frac{20}{9}[/tex]

Find the function's y-intercept: y = [tex]-\frac{20}{9}[/tex]

The chart for : 4x-9y = 20

see the attachment

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The x- and y-intercepts of the graph 4x - 9y = 20 In the simplest form, state each answer as an integer or an improper fraction. x = 20 + 9y /4

What is meant by fraction?A fraction is a portion of a whole. In arithmetic, the number is expressed as a quotient, which is the numerator divided by the denominator. In a simple fraction, both are integers.A complex fraction has a fraction in either the numerator or denominator. In a proper fraction, the top number is less than the lowest common.A fraction pretty much tells us how many parts of a whole we have. A fraction is identified by the slash that is written between the two numbers. Designers have a top number, the quaternion, and a bottom number, the denominator. For instance, 1/2 is a fraction.

Given

x, 4x - 9y = 20  

x = 20 + 9 /4 y

Steps

4x - 9y = 20

Add 9 y to both sides

4x - 9y + 9y = 20 + 9y

Simplify

4x = 20 + 9y

Divide both sides by 4

4x/4 = 20/4 + 9y/4

Simplify

x = 20 + 9y /4

Hence, The x- and y-intercepts of the graph 4x - 9y = 20 In the simplest form, state each answer as an integer or an improper fraction.

x = 20 + 9y /4

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CORE
SKILL
ADVANCED
If a is inversely related to the square of b, and a = 3 when bis
8, which of the following is another possible value for a and b?
(A) a = 4, b = 12
(B) a = 12, b = 4
(C) a = 8, b = 3
(D) a = 2, b = 4
(E) a = 6, b = 4

Answers

Another possible values for a and b are a = 12 and b = 4

How to find another possible value for a and b?

A variation is a relation between a set of values of one variable and a set of values of other variables

Given that:  a is inversely related to the square of b, and a = 3 when bis

8.

This can be written as:

a α 1/b²

a = k/b²               (where k is  a constant)

k = ab²

since a = 3 and b = 8.

Thus, k = 3 × 8² = 3 × 64 = 192

For a value to be another possible value for a and b, they must give k = 192 when substituted into the equation k = ab²:

a = 4, b = 12: k = 4 × 12² = 576

a = 12, b = 4: k =  12 × 4² = 192

a = 8, b = 3:  k =  8 × 3² = 72

a = 2, b = 4: k =  2 × 4² = 32

a = 6, b = 4: k =  6 × 4² = 96

The values that produce k = 192 are a = 12 and b = 4. Therefore, another possible value for a and b is a = 12 and b = 4. So option B is the answer

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solve the equation 8-3(x + 4)= 2x +1

Answers

Answer:

x = -1

Step-by-step explanation:

8 - 3x - 12 = 2x + 1

-3x - 4 = 2x + 1

-5 = 5x

x = -1

The value of x in the equation 8-3(x+4)=2x+1 is -1.

Given equation 8-3(x+4)=2x+1

= 8-3x-12 = 2x+1

= -3x-4 = 2x+1

= -5x = 5

= x = -1

We will first solve the bracket which is -3(x+4) which will give us -3x-12 and then we will add this to 8 which will give us -3x-4. Next, we will move all the constants to one side and the terms with x to one side which will give us -5x=5. Finally, we will divide the whole equation by -5 and we will get the answer of x as -1.

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Which values of aand b make the following equation true?
(5x²y²){-4xªy³) =−20xªy°
O
a = 11, b = 7
O a = 11, b = 10
O a=28, b = 7
O a= 28, b = 10

Answers

The value a = 2 and b = 5 is makes the expression (5x²y²){-4xªy³) =−20xªyᵇ as true.

Expression:

An expression is set of numbers or variables combined using the operations +, -, * and /.

Given,

Here we have the expression (5x²y²){-4xªy³) =−20xªy°.

Now, we have to the value of a and b which make both equation as equal.

In order to get the value a and b, first, we have to solve the expression in the left hand side,

To solve this type of equation, the first step is to combine the like terms, then we get,

=> (5x²y²){-4xªy³)

=> (5 x -4) (x² xᵃ) (y² y³)

Now, we have to do the multiplication on it, then we get,

=> -20 xᵃ⁺² y²⁺³

=> -20xᵃ⁺²y⁵

Now, we have to equate both LHS and RHS, then we get,

=> -20xᵃ⁺²y⁵ = -20xᵃyᵇ

While we looking into the equation, we have identified that the value of a is 2 and the value of b is 5.

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if the probability of a is 0.45 and the probability of the intersection of a and b is 0.15, then the probability that b will occur given that a has occurred is:

Answers

The probability that b will occur given that a has occurred is 2/5 as the probability of a is 0.45 and the probability of the intersection of a and b is 0.15.

What is probability?

It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. For instance, the theoretical chance of getting a head when tossing a coin is 12. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

P(A)=0.45

P(A∩B)=0.15

P(A∪B)=1

P(B)=1-(0.45+0.15)

=1-0.60

=0.4

=2/5

With a probability of 0.45 and a and b's intersection having a 0.15 probability each, the likelihood that b will happen given that a has happened is 2/5.

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What is the slope of a line parallel to the line whose equation is 3x+4y=36

Answers

Answer:

3/4

Step-by-step explanation:

Get into y=mx+b

Subtract 3x

4y=3x+36

Divide by 4

y=3/4x+9

Parallel= 3/4

Perpendicular= -4/3

The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -9 ≤ x ≤ -4?​

Answers

Answer:

  2.4

Step-by-step explanation:

You want the average rate of change on the interval [-9, -4] for the graphed function.

Average rate of change

The average rate of change (m) is the slope of the line between the points at the ends of the interval. For function f(x) on interval [a, b], this is ...

  m = (f(b) -f(a))/(b -a)

Application

For the function f(x) on the interval [-9, -4], the average rate of change is ...

  m = (f(-4) -f(-9))/(-4 -(-9)) = (-4 -(-16))/5 = 12/5 = 2.4

The average rate of change of f(x) on [-9, -4] is 2.4.

Larissa is standing at point L Pj is standing at point P and Raelynn is standing at points are on segment LR as shown in the figure If LR equals 12 and PR equals 4, find LP. explain

Answers

If LR equals 12 and PR equals 4, then: LP = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.

What is the Segment Addition Postulate?

The Segment Addition Postulate states that when there are two endpoints on a line segment (L) and (C), a third point (P) would lie on the line segment (LR), if and only if the magnitude of the distances between the endpoints satisfy the requirements of this equation LP + PR = LR.

This ultimately implies that, the Segment Addition Postulate is only applicable on a line segment that contains three collinear points.

By applying the Segment Addition Postulate to the given endpoints, the value of LP is given by:

LP + PR = LR

LP = LR - PR

Substituting the given parameters into the formula, we have;

LP = 12 - 4

LP = 8.

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Complete Question:

Larissa is standing at point L. Pj is standing at point P and Raelynn is standing at points are on segment LR as shown in the figure If LR equals 12 and PR equals 4, find LP. explain

LP = 16 because 12 + 4 = 16 according to the addition property of equality.

LP = 8 because 12 - 4 = 8 according to the subtraction property of equality.

PR = 16 because LR + LP = PR according to the Segment Addition Postulate, and 12 + 4 = 16 using substitution.

PR = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.

Answer: Lp = 8

Step-by-step explanation:

Got it right

can someone solve this?









Find the values of the variables and the measures of the angles.

Answers

Answer:

x = 52°

y = 25°

z = 90°

Step-by-step explanation:

        We know there are 180 degrees in a triangle. The box represents 90 degrees.

90° + x + 38° = 180°

x + 128° = 180°

x = 52°

        Next, we know that a straight line is equal to 180 degrees. Again, the box represents 90 degrees.

90° + z = 180°

z = 90°

        Lastly, we will use the same process for angle x, but for angle y.

y + z + 65° = 180°

y + 90° + 65° = 180°

y + 155° = 180°

y = 25°

A balloon was originally filled to a volume of 4,400 cubic centimeters. Air inside the balloon leaks out over time.
Write an inequality that describes V, the volume of the balloon in cubic centimeters as air leaks out.
Enter your inequality without a thousands separator.

Answers

The inequality expression of the volume of the balloon is V < 4,400

How to determine the inequality expression?

From the question, we have the following statement:

The initial volume of the balloon is 4,400 cubic centimeters

Also, we understand that:

The balloon leaks out over time

This means that the volume of air in the balloon decreases over time.

So, we have the following representation

V = Less than the initial volume

Rewrite as

V < 4400

Hence, the volume of the balloon at any time after it starts leaking is V < 4,400

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“Find the requested information based on the given facts.

Total sales is $55,000

The commission is 3.5%

Determine the commission.”

Can someone please help?

Answers

Answer:

$1925

Step-by-step explanation:

So your problem is $55,000 x 3.5%

You can rewrite this as:

55,000 x 3.5/100 or 55,000 x 35/1000

Now multiply. I will remove the /1000 for now.

55,000x35=1925000

Now, divide 1925000 by 1000.

1925/1000=$1,925

aisha wants to buy apples and raspberries to make a fruit tart. apples cost $3 per pound and raspberries cost $2.75 per pound. how many pounds of fruit does she buy if she buys 3 pounds of apples and 2.5 pounds of raspberries? how many pounds of fruit does she buy if she buys xx pounds of apples and yy pounds of raspberries?

Answers

Answer:

6.4

Step-by-step explanation:

I guessed and got it right.

Question 10 of 10
Which of the following is the solution to | x | +5 ≤1?
OA. No solution
OB. xs-4
C. All values are solutions *
OD. xs-4 and x ≥ −6

Answers

The solution of  | x | +5 ≤ 1 is  option C, All values are solutions

We need to find the solution of  | x | +5 ≤ 1

Upon removing the modulus function, the term presnet within it can be either negative or positive

considering it as postive

| x | +5 ≤ 1

x + 5 ≤ 1

x ≤ 1 - 5

x ≤ -4

considering it as negative

| x | +5 ≤ 1

-x + 5 ≤ 1

-x ≤ 1 - 5

-x ≤ -4

x ≥ -4

Therefore, the solution of  | x | +5 ≤ 1 is  All values are solutions

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x represents the number
of comic books Priya buys
at the store, all at the same
price, and y represents the
amount of money (in
dollars) Priya has after
buying the comic books.

Answers

By using the concept of equation of line in slope intercept form, it can be obtained that

a)  x- intercept is 5

  This means, Priya has exhausted all her money by buying 5 comics

   y- intercept is 20

   This means, Priya had $20 before buying any comics

b) Slope = -4

   This means Priya's money has been decreasing by $4 after buying        one comics    

c)  Equation of line

     y = -4x + 20

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex]  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan \theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

x represents the number of comic books Priya buys at the store

y represents the amount of money (in dollars) Priya has after buying the comic books.

a)From the figure, it is clear that x- intercept is 5

  This means, Priya has exhausted all her money by buying 5 comics

   From the figure, it is clear that y- intercept is 20

   This means, Priya had $20 before buying any comics

b) The line passes through (5, 0) and (0, 20)

    Slope = [tex]\frac{20 - 0}{0 -5}[/tex] = -4

     This means Priya's money has been decreasing by $4 after buying

    one comics

c) Equation of line

   y - 0 = -4(x - 5)

   y = -4x + 20

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Complete Question

The figure has been attached-

The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ measure.) If the measure of the third angle of the triangle is 45​° more than three times the measure of either of the other two​ angles, find the measure of each angle of the triangle.​ (Recall that the sum of the measures of the angles of a triangle is​ 180°.)

Answers

The measure of each angle of this isosceles triangle is equal to 27°, 27°, and 126°.

What is an isosceles triangle?

An isosceles triangle can be defined as a type of triangle that has two (2) of its sides equal in length and two (2) equal angles. This ultimately implies that, an isosceles triangle comprises two (2) angles that have the same measure or are equal in magnitude.

Let the variable x represent the angles that have the same measure or are equal in magnitude. Therefore, the sum of the measures of the angles of this isosceles triangle is given by this mathematical expression:

x + x + (45​° + 3x) = 180°.

5x + 45​° = 180°.

5x = 180° - 45​°

5x = 135°

x = 135°/5

x = 27°

Therefore, the measure of each angle of the isosceles triangle is given by:

First angle = 27°.

Second angle = 27°.

Third angle = 45​° + 3(27) = 126°.

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The front elevation of a solid shape is a triangle. The side elevation of the solid shape is a triangle. The plan view of the solid shape is a circle. Write the name of the shape.

Answers

Answer:

Cone

Step-by-step explanation:

The Angles are all triangle-shaped, but the bottom is circle-shaped.

will give you brainliest!! ASAP

Answers

Answer:

686 cm^2

Step-by-step explanation:

4(7)=28

7(7)=49

49 x 28= 1372

1372/2=686

hopes this helps

HELP ASAP !!!! Use the equation one fourth plus s equals 18 over 20 to answer the questions.

Part A: Determine two numbers that the solution to the equation is between. Support your answer using the correct vocabulary. (2 points)

Part B: Solve for the variable. Show your work. (2 points)

Answers

a. The two numbers between which the solution to the equation lies are 0 and 1.

b. The value of the variable "s" is 13/20.

How to solve Algebra Word Problems?

The equation given to us is  one fourth plus s equals 18 over 20. This can be expressed as;

¹/₄ + s = ¹⁸/₂₀

s = ¹⁸/₂₀ - ¹/₄

s = (18/20) - (5/20)

s = (18 - 5)/20

s = 13/20

The solution is a rational number. A rational number is defined in mathematics as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

We can determine two rational numbers such that the solution is in between them. A rational number smaller than the solution is 0. A rational number larger than the solution is 1. Hence, the solution lies between 0 and 1.

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Please, can someone help me with this math? I would greatly appreciate it!

Answers

The proof that shows that lines DC and AB are parallel is shown below.

What is the SSS Congruence Theorem?

The SSS congruence theorem states that two triangles that have three corresponding congruent sides are congruent to each other.

When two triangles are proven to be congruent triangles, invariably, we can state that the corresponding parts of both triangles are also equal to each other by CPCTC.

The following proof shows lines DC and AB are parallel lines:

Statement                                              Reasons                                                    

1. AB = CD                                             1. Given

AD = CB                                    

2. Line AC = Line AC                            2. Reflexive property

3. Triangle ADC ≅ Triangle ABC         3. SSS

4. Angle 1 ≅ Angle 4                             4. CPCTC

5. DC║AB                                              5. Converse of alternate interior ∠s theorem

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lins bike travels 100 meters when her wheels rotate 55 times . whats the circumferences of her wheels

Answers

Answer:

Using formula to calculate the circumference of wheel: c=d/n

where

D is the distance bike travel

n is the number of times rotation

C is the circumference of the wheel

As per the statement:

Lin’s bike travels 100 meters when her wheels rotate 55 times.

here, n = 55 rotation and D = 100 meter.

then by definition:

meter c=100/55=20/11

Therefore, the circumference of her wheel is 1 9/11

23.45+1.9-5.78-2.6 ?

Answers

Answer:

16.97

Step-by-step explanation:

Write a rule for g that represents the indicated transformations of the graph of f.

f(x)=2x5−x3+x2+4; reflection in the y-axis and a vertical stretch by a factor of 3, followed by a translation 1 unit down

Answers

The rule that represents the transformation is g(x) = -6x⁵ + 3x³ + 3x² + 11

How to determine the transformation of the function?

The equation of the function is given as

f(x) = 2x⁵ - x³ + x² + 4

The sequence of transformations is given as follows:

Reflection across the y-axisVertically stretched by a factor of 3Translate down by 1 unit

When the above transformations are combined, we have:

g(x) = 3f(-x) - 1

So, we have

3f(-x) - 1 = 3[2(-x)⁵ - (-x)³ + (-x)² + 4] - 1

This gives

3f(-x) - 1 = -6x⁵ + 3x³ + 3x² + 12 - 1

Expand

3f(-x) - 1 = -6x⁵ + 3x³ + 3x² + 11

So, we have

g(x) = -6x⁵ + 3x³ + 3x² + 11

Hence, the function is g(x) = -6x⁵ + 3x³ + 3x² + 11

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One share of kimcos common stock pays an annual dividend of 1. 43. Today kimco closed at 19. 09 with a net cahnge of +0. 72. The stock yield yesterdays closing price is about 8

Answers

With a net change of +0.72 yesterday's closing price was 19.81 and stock dividend yield for yesterday's closing price is 7.2%.

How to calculate the Dividend Yield?

To calculate dividend yield, all you have to do is divide the annual dividends paid per share by the price per share.

Dividend Yield = Annual Dividends Paid Per Share / Price Per Share

According to the given question:

Net change = today's price - yesterday's price

0.72 = 19.09 - yesterday's price

∴ Yesterday's price = 19.81

Stock dividend yield

= (1.43/19.81) x 100

= 7.2%

Therefore the stock yield of yesterday's closing price is 7.2%

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I need this by tonight would be appreciated. :) I know this is basic stuff I'm in Middle School but when I signed up for this there wasn't a middle school option.

Answers

The area of the floor of the convenience store would be = 212.5 ft²

What is the area of an object?

The area of an object is defined as the total space that is being occupied by that object.

To calculate the area of the convenience store is to find the area of the shaded part which would be = area of square - area of the triangle.

Area of square = l ×w = 15 × 15 = 225ft²

Area of triangle= 1/2 base ×height

= 1/2 × 5 × 5

(Note: 15 - 10 = 5 ft from the diagram used as base and height)

= 25/2

= 12.5 ft²

The area of the convenience store;

= 225 - 12.5

= 212.5 ft².

Therefore, the area that is covered by the convenience store should be = 212.5ft².

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Alyssa misses 2% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 63?

Answers

Answer: 3150

Step-by-step explanation:

We know that 50×2%s is 100%, so 50×63 should result in the total amount of throws she attempts, which is 3150.

The table shows the side
lengths and perimeters of
regular hexagons. Is the
relationship between the
perimeter and the side
length of the hexagons
proportional? Explain.

Answers

The relationship between the perimeter and the side length of the hexagons is proportional.

What is a proportional relationship?

A proportional relationship is one that illustrates the constant between the data that are given.

In this case, when the side length is 2, the perimeter is 12. The constant is:

= Perimeter / Length

= 12 / 2

= 6

Also, when the length is 3, the perimeter is 18. The constant will be:

= 18 / 3

= 6

Since they have 6 as constant, it's a proportional relationship.

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