EXAMPLE 3.1.30. Let R be the relation on Z defined by ïRy ⇒ x − y is divisible by 3. Then R is an equivalence relation on Z. Find [0], [1], [2], [4], [-1]​

Answers

Answer 1

equation in slope-intercept form of the line that pae through the point (4, 7) and is parallel to the line represented by y = 2x - 5 is ( y - y1 ) = m( x - x1 ) => y - 7 = 2 (x-8) => 2x - y - 1 = 0

What is slope?

A number that specifies a line's direction and slope is known as the slope or slope of a line in mathematics. A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x).

equation is -

y = 2x - 5

since these are parallel to each other,

slope, m= 2

now the equation is -

( y - y1 ) = m( x - x1 )

y - 7 = 2 (x-8)

2x - y - 1 = 0

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Related Questions

Choose 3 desserts from a menu of 6

Answers

Answer:

yes

Step-by-step explanation:

yes

Andy flipped a coin once and rolled a six-sided number cube numbered 1 through 6. The list below shows the possible outcomes when flipping the coin and rolling the number cube.

H, 1 H, 2 H, 3 H, 4 H, 5 H, 6
T, 1 T, 2 T, 3 T, 4 T, 5 T, 6

What is the probability of the coin landing on tails and the number cube landing on an even number?
A.
1/3
B.
1/2
C.
1/4
D.
3/4

Answers

Answer:

C. 1/4

Step-by-step explanation:

The probability of landing tails is 50%, since coins are two sided.

If a cube has 6 numbers, the probability of getting an even number is also 50% since 2,4,and 6 are even while 1,3, and 5 are odd.

The probability of getting both would be 25% (I multiplied 1/2 by 1/2)

For a science experiment, each student needs 5 grams of salt. If there are 26 students in the class how many milligrams of salt will they need?

Answers

The answer is 130 milligrams
130 milligrams because 5 times 26 is 130 making it 130 milligrams:3 good luck with ur science project

The triangle flap of an envelope has two sides that are 6 centimeters long and meet at a right angle. How long is the envelope? Round to the 10ths if needed.​

Answers

Answer:

Step-by-step explanation:

This is a right triangle that has two equal sides - so it is also isosceles.

It can be solved using Pythagoren Theorem.

a²  +  b²  =  c²

In this case a = b

so:  

6²  +  6²  = c²

36 +  36 =  c²

72  =  c²

[tex]\sqrt{72[/tex]  =  [tex]\sqrt{c^{2} }[/tex]

8.49 = c

round to 8.5

This is the length of the flap.

Dana's survey showed that 3 out of 8 students preferred pepperoni pizza and
1 out of 8 preferred cheese pizza. How many more of the 72 students surveyed by
Dana preferred pepperoni pizza than preferred cheese pizza?

Answers

Answer:

18 more students preferred pepperoni pizza over cheese pizza in the survey.

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] x [tex]\frac{72}{1}[/tex] Can be rewritten

[tex]\frac{3}{1}[/tex] x [tex]\frac{9}{1}[/tex] = [tex]\frac{27}{1}[/tex] = 27   I cross canceled the 8 and 72.  They have a common factor of 8.  8 goes into 8 once and 8 goes into 72 9 times.

27 students preferred pepperoni pizza.

[tex]\frac{1}{8}[/tex] x [tex]\frac{72}{1}[/tex] = [tex]\frac{1}{1}[/tex] x [tex]\frac{9}{1}[/tex] = 9

9 students preferred cheese pizza.

27 - 9 = 18

There are 10 dark chocolates, 8 milk chocolates, and 7 sea salt caramel
chocoaltes and 8 crunch almond chocolates in a mixed flavor Dove
chocolate bag. What is the probability of randomly choosing a dark
chocolate?
7/33
10/33
8/33
16/33

Answers

10/33 there 33 chocolates in the bag but only 10 are dark chocolate

B 10/33.

Step-by-step explanation:

becouse you first have to add all the chocolates together, with would be 33. Out of the 33, 10 of them are dark chocolate, so your answer would be 10/33

What is the surface area of the pyramid to the whole number ?

Answers

Answer: A ≈ 74.35

Step-by-step explanation: Explanation below.

a i think, but i’m not so sure

Please help will mark Brainly

Answers

"Mark as brainiest". Click on the option to mark it the best answer.

how to help mark Brainly?

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h(0)=

evaluate the function please!!

Answers

h(0) = 5

Go to x = 0
Move up or down the y axis until you find a point
It’s at y = 5

Avery works approximately 2080 hours per year if she earns between $7.50 and $8.25 per hour which is the closest to her annual salary

Answers

Answer:

16,000$ is the answer

hope it helped

Show that 20 subtracted by O is 20, using at least four daily life examples​

Answers

Answer:

true

Step-by-step explanation:

20 away from nothing is 20

Answer:

Step-by-step explanation:

20-0=20

Example 1: Suppose you have 20 friends and they are given the choice of choosing a sport from cricket or basketball. All of them decide to play cricket and 0 chooses basketball. So, the total number of students who decided cricket is 20 students(20-0=20).

Example 2: Suppose you have 20 chocolates and you give 0 chocolates to your sister then you have a total of 20 chocolates(20-0=20).

Example 3: Suppose there are 20 students in a class and 0 were absent out of them. So, the total number of students that were present are 20 students(20-0=20).

Example 4: Suppose you have 20 clothes in your wardrobe and you gave 0 clothes for washing. So, the total number of clothes in the wardrobe is 20 clothes(20-0=20).

Pls help! Step by step

Answers

Answer:

x = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{6}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = 6[tex]\sqrt{2}[/tex]

This is the exact value for x. It may be rounded if you wish

Answer:

[tex]x=6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]

From inspection of the given right triangle:

θ = 45°A = 6H = x

Substitute the given values into the cosine trigonometric ratio and solve for x:

[tex]\implies \cos(45^{\circ})=\dfrac{6}{x}[/tex]

[tex]\implies \dfrac{\sqrt{2}}{2}=\dfrac{6}{x}[/tex]

[tex]\implies x\sqrt{2}=6 \cdot 2[/tex]

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

[tex]\implies x=\dfrac{12}{\sqrt{2}}[/tex]

[tex]\implies x=\dfrac{12}{\sqrt{2}}\cdot \dfrac{\sqrt{2}}{\sqrt{2}}[/tex]

[tex]\implies x=\dfrac{12\sqrt{2}}{2}[/tex]

[tex]\implies x=6\sqrt{2}[/tex]

3. If 2(x + 3) = x + 10, then x equals
Your answer

Answers

Answer:

x = 4

Step-by-step explanation:

Distribute 2 to the parentheses:

2(x + 3) = x + 10

2x + 6 = x + 10

Subtract x from both sides:

x + 6 = 10

Subtract 6 from both sides:

x = 4

So, x = 4

Answer: x = 4

Step-by-step explanation:

3. An empty bag has a weight of 400g. When 6 footballs are packed into it the total weight is
3070g. What is the weight of one football?

Answers

Answer:

Step-by-step explanation:

Weight of empty bag = 400g

Total Weight of bag = 3070g

Weight of 6 footballs packed = 3070g -400 = 2670

Weight of 1 football = 2670 ÷ 6 = 445g

what is 92,572 rounded to the nearest ten thousand

Answers

Answer: it is 90,000 i believe

Answer: 90,000

Step-by-step explanation: I think it is 90,000 because if the number was for an example 95,000 it would be 100,000 so the number after the 9 is deciding either it goes up or down

(sorry for the grammar and stuff because I'm from Germany so its not very easy to explain, thanks for understanding)

1) The Cuyahoga River is 306 miles long, but boats can only travel on 134
miles of the total length. Write the ratio of the Cuyahoga's navigable length
to its total length as a fraction in simplest form.

Answers

Answer:

67/153

Step-by-step explanation:

What is the range of the function with the graph given below ?

Answers

The graph in the question is a parabola that opens downwards.

What is function?

A function is a block of organized, reusable code that is used to perform a single, related action. Functions provide better modularity for your application and a high degree of code reusing. As you already know, Python gives you many built-in functions like print(), etc. but you can also create your own functions. These functions are called user-defined functions.

This means that the range of the function is all real numbers less than or equal to the y-intercept of the parabola, which is 0 in this case. Therefore, the range of the function is all real numbers less than or equal to 0.

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what is the length of JL​

Answers

166.8 in (4,237 mm) (2-door) 188.4 in (4,785 mm) (4-door)

the value of the variable which makes an equation a true sentence is called the ___ of the equation​

Answers

Answer:

Solution

Step-by-step explanation:

the value of the variable which makes an equation a true sentence is called the solution of the equation

Question
Translate the phrase into an algebraic expression, the ratio of 4p and 7y,
Provide your answer below:

Answers

9514 1404 393

Answer:

  (4p)/(7y)

Step-by-step explanation:

The ratio of 4p to 7y is another way of saying the quotient of (4p) and (7y).

  [tex]\boxed{\dfrac{4p}{7y}}[/tex]

Pythagorean theorem , HELPPP

Answers

Answer:

A=150

Step-by-step explanation:

1/2ab=A

1/2 15x20 = 1/2 300 = 150 = A

Hope this Helps! :)

Answer:

Hypotenuse = 25

Step-by-step explanation:

Pythagorean theorem: a^2+b^2 = c^2

15^2+20^2 = c^2

225+400 = c^2

625 = c^2

25 = c

7. {MCC.7.G.2} *
Which set of numbers cannot
represent the lengths of the sides
of a triangle?
A) 7, 9, 12
B) 8, 6, 7
C) 8, 20, 12
D) 10, 13, 20
O A
B
O D

Answers

If

f

(

x

)

=

2

x

4

9999999kwwkqkkaosos

14 more than 5 times a number is equal to 20. find the number

Answers

Answer:

6/5

Step-by-step explanation:

5x + 14 = 20

Subtract 14 from 20

5x = 6

Divide both sides by 5

x = 6/5

Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directrix of x = -2?

Answers

Answer:

C

Step-by-step explanation:

Edge 2021

Answer:

c. (y-1)^2=-20(x-3)

Step-by-step explanation:

edge 2021

4 less than three sevenths as an algebraic expression

Answers

An algebraic expression is a mathematical phrase that can contain numbers, variables, and operators.

To write "4 less than three sevenths" as an algebraic expression, we can use the variable x to represent the number we are trying to find, and then use subtraction and division to represent the parts of the phrase "4 less than three sevenths".

3/7x - 4 = an algebraic expression

or

x = 3/7y - 4

where x is the unknown value and y is any given value

Both expressions are algebraic representation of the statement "4 less than three sevenths"

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

h^2 = 9^2 + 4^ 2

= 81 + 16

= 97

h =97 ^ 1/2

= 9.849

= 10 ml

0 0 1 0
0 0 0 1
Let A = 1 0 0 0
0 1 0 0
-0 0 0 1
0
0
0. Find All
0

Answers

Answer:

0

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

the ratio of the length to the breadth of a room is 5:3 what is the length of the room if the breadth is 6m

Answers

According to the solving If the room's width is 6 meter's, then its length must be 10 meter's.

What is length?

Distance is measured by length. The quantity of length has the dimension of distance there in International System of Quantities. Most measurement systems choose a base unit for length from which all subsequent units are derived. The metre serves as the fundamental unit of length in the International System of Units.

How do you determine length?

If you have an area A and a width w, you can calculate the length w by using the formula h = A/w. Its length can indeed be calculated using the formula h = P/2w if you know its perimeter (P) and width (W). If you have the width w and the diagonal

According to the give information:

Let length be x By Given Condition

5/3=x/6

x=5/3*6

x=30/3=10

Therefore length of room is 10.

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if a tree is 105 metres tall in real life what would be the height of the diagram of the tree if the scale was 1: 1000

Answers

Answer:

1.05

Step-by-step explanation:

it is 105 divided by 1000

Answer:

0.105 metres

Step-by-step explanation:

105 divided by 1000

Find the 7th term of the geometric sequence whose common ratio is
and whose first term is 4.

Answers

Answer:

your answer is 36 counting by 4s

Step-by-step explanation:

4

16

20

24

28

32

36

Answer:

28

Step-by-step explanation:

4, 8, 12, 16, 20, 24, 28

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