Arial says that, for any pair of linear relations, if the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the graphs of the two lines will be parallel.
a. Give an example for which Arial's claim is true.

b. Give an example for which Arial's claim is false.

c. Suggest an improvement to Arial's claim.

Answers

Answer 1

Answer:

a. Give an example for which Arial's claim is true.

If linear relations have equal coefficient about the independent variable, then those linear relations are parallel. For example, [tex]y=3x+4[/tex] and [tex]y=3x-5[/tex].

Notice that the coefficient of the dependent variable must be also equal, otherwise it would change the slope of the expression and they wouldn't be parallel.

b. Give an example for which Arial's claim is false.

The statement is not false.

c. Suggest an improvement to Arial's claim.

An improvemente would be that the constant term no need to be equal too, between linear relations, because they can be at "differecent heights", sort of speak.


Related Questions

Find the measure of x.
15(x+2)
X=-1
x = 7
X = 9
x=13

Answers

Answer:

x=7

Step-by-step explanation:

7+2 = 9. 9*15 = 135 degrees

The answer is x=7. 135=15(x+2). Then you’ll get 135=15x+30. You subtract 30 from each side leaving 105=15x. To get x by itself, you then divide 15 on both sides, making the answer x=7.

Gtftgohcigcigcigvvohvlkk gm

Answers

It’s 34 just find the area of all the individual rectangles or you can find the area of the three unique ones and add them all up

Answer:

its 34 the first person is correct

The volume of the giant beach ball is approximately 267.95 feet^3 . Find the diameter of the ball. Use 3.14 for pie.

Answers

Answer:

8 feet

Step-by-step explanation:

Hello, I can help you with this.

the volume of a sphere is given by.

[tex]Volume= \frac{4}{3} \ \pi\ radius^{3}\\\\[/tex]

Step one

isolate radius

[tex]\frac{3}{4}* volume= \pi\ radius^{3}\\\\\\\ \frac{3}{4 \pi }* volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}[/tex]

According to the question the volume is 267.95 cubic feet , and pi= 3.14

put this values into the equation

let

volume =267.95

pi=3.14

[tex]volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}\\radius=\sqrt[3]{\frac{3}{(4 *3.14) }*267.95}\\radius=\sqrt[3]{64}\\\\radius=4[/tex]

so the radius of the beach ball is 4 feet, but we need its diameter

Diameter=2* radius

radius=4 feet

Diameter= 4 feet*2

Diameter=8 feet

what a big ball¡¡

I hope it helps, have a great day.

Please tell me the answer quick

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

20 points! I need the answer ASAP! Thanks!

Answers

Answer: y=5/7x+2

Step-by-step explanation:

The y- intercept would be 2 since that is where the line goes through the y axis. Also if you use slope form you will see that the slope is 5/7.

A 25 foot ladder is leaning against a building. The building is 20 feet high. How far away from the building is the bottom of the ladder

Answers

Answer:

15 ft

Step-by-step explanation: To solve this, you have to use the Pythagorean Theorem. The 25 ft is the hypotenuse, the longest side of the triangle. the building's height, 20 ft is one of the legs. The missing measurement is one of the other legs.

Pythagorean Theorem: A^2 + B^2 = C^2

A and B are legs and C is the hypotenuse.

Substitute the values:

20^2 + B^2 = 25^2

400+ B^2 = 625

625 - 400 = 225

225 = 15^2

Find def, help geometry

Answers

Answer:

d

Step-by-step explanation:

PLEASE HELP ME
10 points

Answers

Answer:

Between -2 and 0

Step-by-step explanation:

Sarah claims that when you divide, the number you are dividing always gets smaller. John says this is not true. Who is correct? If John is correct, give a counterexample.
A) Sarah is correct.
B) John is correct. A counterexample is 4 ÷ 5.
C) John is correct. A counterexample is 4 ÷ 1.25.
D) John is correct. A counterexample is 4 ÷ 1/2

Answers

Answer:

D

Step-by-step explanation:

John is correct as Dividing does not always gets the quantity smaller for example if we divide 4 by 0.5

We get

4/0.5= 8

If f(x) = 5x^3 and g(x) = x+1, find (f•g)(x).

Answers

Answer:

(fg)(x) = 5x^4 + 5x^3

Step-by-step explanation:

(fg)(x) = (5x^3)(x+1)

(fg)(x) = 5x^4 + 5x^3

What is the solution to the equation = 3?

x = 1
x = 3
x = 9
x = 27

Answers

Multiply both sides by 9.

x/9 = 3

(x/9) * (9) = (3) * (9)

x=27

The solution of the expression x/9 = 3 is,

⇒ x = 27

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression is,

⇒ x/9 = 3

Now, Simplify the expression as;

⇒ x/9 = 3

Multiply by 9, we get;

⇒ 9 × x/9 = 9 × 3

⇒ x = 27

Thus, The solution is,

⇒ x = 27

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The five-number summary for the number of teams in each of Brad's fantasy football leagues is shown in the following table.

The five-number summary suggests that about 50% of Brad's fantasy football leagues have fewer than how many teams?
Choose 1 answer:


(Choice A)

4

(Choice B)

7

(Choice C)

10

(Choice D)

14

(Choice E)

18

Answers

Answer:

The correct option is (C) 10.

Step-by-step explanation:

The five-number summary for the number of teams in each of Brad's fantasy football leagues is as follows:

Minimum: 4

Q₁: 7

Median: 10

Q₃: 14

Maximum: 18

The minimum value is the smallest value in the data set.

The first quartile (Q₁) is the value that is less than 75% of the observations.

The median is the middle most value of the data set. It is the value that is less than 50% of the observations.

The third quartile (Q₃) is the value that is less than 25% of the observations.

And the maximum value is the largest value in the data set.

So, the five-number summary suggests that about 50% of Brad's fantasy football leagues have fewer than 10 teams.

Thus, the correct option is (C).

15 ÷ 3 = Δ

Find the value of Δ.


A)
5


B)
12


C)
18


D)
45

Answers

Answer:

A)5 is the answer

Step-by-step explanation:

this is the answer

Answer:

A- 5

Step-by-step explanation:

15/3 = 5

Help me with this Please
Three ballet dancers are positioned on stage. Mia is straight behind Jane and
directly left of Christine. If Jane and Mia are 3 meters apart, and Christine and Jane
are 5 meters apart, what is the distance between Mia and Christine?

Answers

Answer:3 m

Step-by-step explanation:

Given

Mia is 3 m behind Jane

Mia is left to the Christine

Distance between Mia and Christine is 5 m

Thus they form a right angles triangle shown in fig

So we can write

[tex]5^2=x^2+3^2[/tex]

Where x =distance between Mia and christine

[tex]x^2=25-16[/tex]

[tex]x^2=9[/tex]

[tex]x=3\ m[/tex]

Use the grouping method to factor the polynomial below completely.
3x3 + 9x2 + 4x + 12
O A. (3.2 + 4)(x+4)
O B. (3x2+3)(x + 4)
O c. (3x2 + 4)(x+3)
O D. (3x + 3)(x+3)​

Answers

Answer:

C. (3x^2+4)(x+3)

Step-by-step explanation:

3x^3+9x^2+4x+12

=(3x^3+9x^2)+(4x+12)

=3x^2(x+3)+4(x+3)

=(3x^2+4)(x+3)

Therefore, C. (3x^2+4)(x+3)

The correct factor of the polynomial is,

⇒ (x + 3) (3x² + 4)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 3x³ + 9x² + 4x + 12

Now, We can factor the polynomial as;

⇒ 3x³ + 9x² + 4x + 12

⇒ 3x² (x + 3) + 4 (x + 3)

⇒ (x + 3) (3x² + 4)

Thus, The correct factor of the polynomial is,

⇒ (x + 3) (3x² + 4)

Learn more about the mathematical expression visit:

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Conor buys 75 tokens for games at the arcade. The price to play each game is 3 tokens. If Conor has already played x games, which expression is equivalent to the number of tokens that remain?

A. 3x – 75
B. 3(25 – x)
C. 3(25 + x)
D. 75 + 3x

Answers

Answer:

B

Step-by-step explanation:

He didn't get more tokens, so it cannot be D or C, and 3x-75 is simply not true if, for example, he played 2 games.

Pleae mark as Brainliest! :)

Have a nice day.

The value of expression is equivalent to the number of tokens that remain is,

⇒ 3(25 - x)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Conor buys 75 tokens for games at the arcade.\

And, The price to play each game is 3 tokens.

Here, Conor has already played x games.

Hence, The value of expression is equivalent to the number of tokens that remain is,

⇒ 75 - 3x

⇒ 3 (25 - x)

Thus, The value of expression is equivalent to the number of tokens that remain is,

⇒ 3(25 - x)

Learn more about the mathematical expression visit:

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An in-ground swimming pool is meters long, meters wide, and meters deep. The water-resistant paint needed for the pool costs $ per square meter. Step by step.
1. How many sides of the pool do you have to paint?
2. How much paint (in square meters) do you need to paint the pool?
3. How much will it cost to paint the pool?
4. How much water will the pool hold?

Answers

Answer:

Step-by-step explanation:

I'm going to assume you meant to put numbers in the question, but I will answer in terms of x, y, and z, for length, width, and depth, respectively.

1. You need to pain 4 walls as well as the floor, so 5 surfaces total.

2. This question is asking for the surface area of the pool. There is 1 floor, 2 long walls and 2 wide walls.

         Surface Area = 2 (wide) + 2 (long) + 1 (floor)

                                = 2(x*z) + 2(y*z) + 1(x*y)

         *remember to answer in meters squared*

3. Total Cost = (surface area) * (cost per square meter)

         *remember this is in dollars*

4. This question is asking about the volume of the pool:

         Volume = x*y*z

What is the maximum of f(x) = sin(x)?
- 2π
-1
01
2π​

Answers

Answer:

1

Step-by-step explanation:

The maximum value of sin(x) is 1.

When x = 90 degrees sinx = 1.

An account pays 6% coumpound interest in a year 1, the amount in tha account is $70 . How much is in the account in year 5?

Answers

Answer:

The amount in account in year 5th should be:

A = 70 x (1 + 6/100)^5 = 93.68$

Hope this helps!

:)

The surface area of which composite figure is the sum of the areas of eight triangular faces?
VX
O two rectangular pyramids joined at their congruent bases
two rectangular pyramids joined at two congruent lateral faces
O two triangular prisms joined at their congruent bases
two triangular prisms joined at two congruent lateral faces

Answers

Answer:

B

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

I need the right answer please

Answers

Answer:

a) i) x = 6, y = 9

ii) 20

iii) -5

b) -40

Step-by-step explanation:

3(6) - 2(9)

18 - 18 = 0

greatest

3(10) - 2(5)

30 - 10

20

least

3(5) - 2(10)

15 - 20

-5

5(a - 4b)

5[-7 - 4(¼)]

5(-7 - 1)

5(-8)

-40

Choose the function whose graph is given below.
Y = csc x
Y= tan x
Y= sec x
Y = cot x

Answers

The given graph shown in the image is of function y = cotx. Option D is correct.

Given that,
To determine the function whose curve is plotted in the graph.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.



Here,
Since the given graph is of cots because only cotx tends to infinity whenever x tends nπ where n is an integer on the number line.

Thus, the given graph shown in the image is y = cotx. Option D is correct.


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What does the equation, 2 + 2 = fish, really mean?

Answers

Answer:

This is subjective to the viewer of such an equation.

Step-by-step explanation:

Please give brainliest lol

What is -0.555555 (5 is repeating) as a fraction (this is 20 points)

Answers

Answer:

-5/9

Step-by-step explanation:

let x=-0.55555....

10 x=-5.55555....

subtract

9 x=-5

x=-5/9

The probability of not choosing a black shirt is...? please explain!

Answers

Answer:

80% or 8/10.

Step-by-step explanation:

Assuming the shirts in the bottom right are the "black" shirts, there is ten total shirts (1 red, 4 blue, 2 green, 1 white,  2 black.) Out of the ten shirts, 8 are not black. This means that there is an 80% chance that you will select a shirt that is NOT black.

The probability of not choosing a black shirt is 8/10. Because there is 10 shirts and 8 are not black.

Ms. Wilmith bought 4 bags of candies. Each bag contained 8 candies. She put an
equal number of these cand es into each of 9 gift boxes
How many candies were left over?
3
4
0
5​

Answers

Answer:

Number of candy left = 5

Step-by-step explanation:

Given:

Number of bags = 4

Number of candies in each bag = 8

Number of Gift boxes = 9

Find:

Number of candy left = ?

Computation:

Total number of candies = Number of bags × Number of candies in each bag

Total number of candies = 4 × 8

Total number of candies =  32

According to Euclid division lemma:

a = bq +r

32 = (3)(9) + Remainder

32 = 27 + Remainder

Remainder = 5

Number of candy left = 5

The base of the square pyramid shown has an area of 576 square units. If the slant height of the pyramid is 20 units, what is the height of the pyramid?


18 units


13.4 units


16 units


31.2 units

Answers

Answer:

Option C - 16 units

Step-by-step explanation:

Since the base is a square and it has an area of 576 sq.units, thus, if the side length of the base is x, then;

x² = 576

x = √576

x = 24

To get the height, we will divide this side length by 2 and use Pythagoreas Theorem.

Since, we are told that the pyramid has a slant height of 20 units,

So using pythagoras theorem, we can find the height of the pyramid as;

h² = 20² - (24/2)²

h² = 400 - 144

h² = 256

h = √256

h = 16 units

What is the median for 1,2,4,6,4

Answers

4 is the median. Please mark as brainlist.

Answer:

4

Step-by-step explanation:

Wanda decided to purchase a $33,000 MSRP vehicle at a 6.5% interest rate
for 3 years. The dealership offered her a $5500 cash-back incentive, which
she accepted. Taking all these factors into consideration, what monthly
payment amount can she expect?

Answers

Answer: $842.85

Step-by-step explanation:

Tomas selects one of these garments at random. Let AAA be the event that he selects a blue garment and let BBB be the event that he chooses a shirt.
Please help!!!

Answers

Answer:

can u explain it more lol

Step-by-step explanation:

1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

Thomas has 1 blue shirt

Thomas has 1 green shirt

Thomas has 1 blue hat

Thomas has 1 green scarf

Thomas has 1 blue pair of pants

Thomas has 1 green pair of pants

So, number of blue garments = 3

Number of shirts = 2

Total garments =6

What is probability?

Probability is the measure of the likelihood of an occurrence.

P(event) = Favorable outcomes / Total outcomes

P(blue garment) = 3/6 =1/2

P(shirt) = 2/6 =1/3

Hence, 1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

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