In the diagram below, what is the equation that represents the relationship between the number of triangles and the perimeter of the figure they form? Use this table to help you create an equation.

In The Diagram Below, What Is The Equation That Represents The Relationship Between The Number Of Triangles

Answers

Answer 1

Answer:

The perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].

Step-by-step explanation:

According to the diagram, we get the following facts:

i) For one triangle ([tex]x=1[/tex]), the total perimeter is ([tex]y=2\cdot 3 + 1\cdot 4 = 10[/tex]).

ii) For two triangles ([tex]x = 2[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +2\cdot 4 = 14[/tex])

iii) For three triangles ([tex]x = 3[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +3\cdot 4 = 18[/tex])

iv) For four triangles ([tex]x = 4[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +4\cdot 4 = 22[/tex])

From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].


Related Questions

. A honeybee leaves the hive, traveling at a speed of 4 mph and returns 1 hour later. What was the distance traveled and the displacement of the honeybee in miles?

Answers

Answer:

4miles

Step-by-step explanation:

Step one:

given

speed, v= 4mph

time taken t=1 hour

The velocity is defined and the rate of change of displacement

Required:

Distance traveled

we know that the expression relating distance, velocity and time is

velocity= distance/time

distance= velocity* time

substitute we have

Distance=4*1

Distance= 4miles

The distance traveled and the displacement of the honeybee in miles  4miles

what is 9 time 64 what does it equal to

Answers

Answer:

It's 576 if you mean 64 times 9!

Step-by-step explanation:

A taxi driver charges a $2 fee plus an additional $4 per mile as shown by the graph.

What is the cost of a 3-mile ride?
$1
$10
$12
$14

Answers

Answer:

The answer is 14

Step-by-step explanation:

The taxi driver charges $4 per mile so you multiply that by 3 miles because that is what your trying to find. So you get 12 and from their you have to add the $2 fee thus leading to an answer of 14.

Can anyone help its due in 10 minuets!

Answers

Answer:

x=30⁰

Step-by-step explanation:

4x-55+3x+25=180

7x-30=180

7x=210

x=30⁰

Proof

3(30)+25=115

4(30)-55=65

115+65=180⁰

Drag the tiles to the correct boxes to complete the pairs. Match each population trend to a contributing factor. government-sponsored family control programs agricultural economies medical advancements Industrial Revolution high birthrate arrowRight low death rate arrowRight increase in food supply arrowRight low birthrate arrowRight Reset Next

Answers

Answer:

Matching the population trend to a contributing factor:

Contributing Factors                                                 Population Trends

government-sponsored family control programs    Low birth rate

agricultural economies                                              increase in food supply

medical advancements                                             low death rate

Industrial Revolution                                                 high birth rate

Step-by-step explanation:

a) Contributing factors are some negative or positive factors that influence or cause a single event or chain of events that result to the incident.

b) Defining population trends:

1) High birth rate: the industrial revolution triggered high birth rate, following increased food supply and medical advancements.

2) Low death rate: medical advancements brought about low death rate as better healthcare is provided to the sick.

3) Increase in food supply: large-scale agricultural economies ensured increasing food production and supply.

4) Low birth rate: when governments started sponsoring family control programs, the resulting effect was low birth rate.

Answer:

The first one is children and adolescents

the second one is adults

the third one is pregnancy

the last one is indivisuals with brittle bones

Step-by-step explanation:

hope this helps :D

Please help!
Rewrite the rational exponent as a radical. (2 points)

Answers

Answer:

Answer: 3) [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Radical Form and Exponent Form

A radical can be expressed as a rational exponent following the identity:

[tex]\displaystyle \sqrt[m]{x^n}=x^\frac{n}{m}[/tex]

We should also recall that:

[tex](x^n)^m=x^{nm}[/tex]

We are given the expression:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}[/tex]

Applying the power of power:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\left(5^{\frac{3}{4}\cdot \frac{2}{3}}\right)[/tex]

Simplifying:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=5^{\frac{1}{2}}[/tex]

Converting to radical form:

[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\sqrt{5}[/tex]

Answer: 3) [tex]\sqrt{5}[/tex]

I WILL GIVE THE BRAINLIEST
Jack works after school. each day he earns a set amount, plus an hourly wage. the following table represents a linear function f jack can use to determine to his pay.
hours: 1, 2, 3 | Pay: 18, 28, 38
SLOPE is 10.
Using the slope, find the y-intercept and write the function.​

Answers

Answer:

The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8

Step-by-step explanation:

Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.

18 - 10 = 8 dollars.

Now that we have the m and b values, we can create our equation.

The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.

2 The perimeter of a square is given as 12x + 20. Write two different expressions to
represent its perimeter. Use factoring for one way.

Answers

Answer:

The two expressions are;

4(3x + 5)

and

(6x + 10) + (6x + 10)

Step-by-step explanation:

Here, we want to write two different expressions to represent the perimeter of the square

The perimeter is given as 12x + 20

Using factoring, we can have this as;

4(3x + 5)

Otherwise, we can have

(6x + 10) + (6x + 10)

PLEASE HELP MEEEEEEEEEE! NEED HELP FAST!! WILL GIVE BRAINLIEST!!! CORRECT ANSWERS ONLY PLEASEEEEEE!!!!!!
If 2+sqrt3 is a polynomial root, name another root of the polynomial, and explain how you know it must also be a root.

Answers

Answer:

7

Step-by-step explanation:

What is the opposite integer of –(–7)?

Answers

-7

-(-7) is 7 because two negative signs result in a positive. The opposite integer of 7 is -7

Determine whether the ordered pair (0, 2) is a solution to the equation -2x + y = -1
O No, (0, 2) is not a solution.
O Yes, (0, 2) is a solution

Answers

Answer:

O Yes, (0, 2) is a solution

Step-by-step explanation:

The Solution of an Equation

Given the equation

-2x + y = -1

An ordered pair (a,b) is a solution of the equation if

-2a + b = -1

Let's test the point (0,2) to check if it's a solution of the equation:

Replacing x=0, y=-1

-2(0) + (-1) = -1

0 - 1 = -1

-1 = -1

Since the equation is satisfied, the pair (0,2) is a solution.

Answer: O Yes, (0, 2) is a solution

Answer:

No, (0, 2) is not a solution.

Step-by-step explanation:

I did the test

9.
A tree casts a shadow 36 feet long at
the same time a boy 5 feet tall casts a
shadow 4 feet long. Find, in feet, the
height of the tree.

Answers

the tree is 30 feet

The question is in the image! Please help if u can its due really soon

Answers

Answer:

88°

Step-by-step explanation:

m∠AOB = m∠DOE = 88°

A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9

minutes. How long would it take for the pool to be completely drained? (1 point)

Answers

Answer: 35 minutes

Step-by-step explanation:

For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:

= (1320 - 1040) / (9 - 2)

= 280/7

= 40 gallons per minute

Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:

= 1320 gallons + (40 × 2)

= 1320 gallons + 80 gallons

= 1400 gallons

The time taken for the pool to be completely drained will be:

= Total water in pool / Gallons drained per minute

= 1400 / 40

= 35 minutes


1. Dilate A using P as the center of dilation and a scale factor of 3. Label the new point
A'.
2. Dilate Busing Pas the center of dilation and a scale factor of 2. Label the new point B'

Answers

Answer:

Step-by-step explanation:

Rule for the dilation of a point by a scale factor 'k',

(x, y) → (kx, ky)

If we impose this rule in this problem,

k = [tex]\frac{\text{Distance of A' from P}}{\text{Distance of A from P}}[/tex]

1). If k = 3

   Therefore, Distance of A' from P = 3(Distance of A from P)

   And point A' will be on the third circle.

2). If k = 2

   Distance of B' from P = 2(Distance of B from P)

   Since, B is on circle 2, B' will be on circle 4.

Now we can plot these points A' and B' on the graph.

After the dilation point A becomes A' and it is at a distance of 3 units from point P and after the dilation point B becomes B' and it is at a distance of 2 units from point P.

1)

Given :

Dilate A using P as the center of dilation and a scale factor of 3.

Let the coordinates of point A be (x,y) then after dilation point A becomes A'(3x , 3y). So, the distance of the point A' from the point P is 3 units

2)

Given :

Dilate Busing P as the center of dilation and a scale factor of 2.

Let the coordinates of point B be (x',y') then after dilation point B becomes B'(2x' , 2y'). So, the distance of the point B' from the point P is 2 units

For more information, refer to the link given below:

https://brainly.com/question/2856466

In the diagram shown, ZFEH is a right angle. If mZHEG = 41° then which statement below is true? ​

Answers

Answer:

uuuuuuuuuuuuuu

Step-by-step explanation:

(2) A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain your reasoning. *

Answers

Answer:

$65

Step-by-step explanation:

Let

x = original price of the item

Mai buys one item and saves $13,

This means 20% of the original price of the item = $13

20% of x = 13

20/100 * x = 13

0.2 * x = 13

0.2x = 13

Divide both sides by 0.2

x = 13 / 0.2

= 65

x = $65

Therefore, the original price of the item is $65

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