which equation represents the graph?

Which Equation Represents The Graph?

Answers

Answer 1

The equation of the graph which shows a hyperbola passing through the point (0, 8) is,

⇒ [tex]\frac{(y - 1)^2}{49} - \frac{x^2}{81} =1[/tex]

Given that,

The graph of the equation of the hyperbola is shown.

Now, Take a point on the graph of the hyperbola.

Let the point is, (0, 8), which lies on the graph.

Since the point must satisfy the equation of the graph.

Hence, we can check all the options,

A. Equation of graph is,

⇒ [tex]\frac{(y - 1)^2}{49} - \frac{x^2}{81} =1[/tex]

Substitute x = 0, y = 8;

⇒ [tex]\frac{(8 - 1)^2}{49} - \frac{0^2}{81} =1[/tex]

⇒ [tex]\frac{(7)^2}{49} - 0 =1[/tex]

⇒ [tex]\frac{49}{49} = 1[/tex]

⇒ 1 = 1

Which is true.

Therefore, the equation of the hyperbola is,

⇒ [tex]\frac{(y - 1)^2}{49} - \frac{x^2}{81} =1[/tex]

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Related Questions

Solve 2x = 3.
Round to the nearest ten-thousandth.

Answers

divide by 2 on both sides.

3/2

x=1.5

Answer:

1.5850

Step-by-step explanation:

It was simple really

Which label on the cone below represents the radius?
A
В
С
D

D

Answers

The answer for the label on the cone below that represents the radius is A

Step-by-step explanation:

the answer should be B cause the radius is the line that goes threw the middle

Joe saved most of his allowance every week since his 7th birthday.If joe saves $4 per week, how much money would he have on his 15th birthday?

Answers

Answer:

He will have $1,664 on his 15th birthday.

Step-by-step explanation:

If he is saving $4 per week for 8 years(15-7=8), and there are 52 weeks in a year, then 8x52=416 weeks. Then 416x4=1,664. Therefore, he will have $1248 dollars by his 15th birthday.

Answer:

1664 Hope this is right

Step-by-step explanation:

You first need to find how many weeks is in a year.

Then multiply how many weeks that are in a year 52 by amount of money per week 4.

You get 208

Before the last step you need to subtract 15-7=8

Multiply 208 times 8 and that's your answer

What is the equation of the vertical line through (2, 3)?

Answers

Answer:

x=2 or y=3

Step-by-step explanation:

x=2 is a vertical line at the x-value of 2

y=3 is a horizontal line at the y-value of 3


A reindeer runs 20 1/4
miles in 3 hours. At that rate, how many miles does it run in 1 hour?

Answers

Answer:

6 3/4 or 6.75 mph

Step-by-step explanation:

Take the rate of miles per 3 hours, 20 1/4, and divide it by 3.

That equals 6.75 or 6 3/4 mph

Hope this helps!

Answer:

6 3/4

Step-by-step explanation:

Lets take the rate of miles per 3 hours So, we have 20 1/4 so now if we divide it by 3 That will equal 6.75 in decimal if you were asked to write it in fraction write it like this 6 3/4.

Decimal= 6.75                                                                                             Fraction= 6 3/4

Hope this helps you!!

Which other expression has the same value as (-14) - 8?

Answers

Final answer:

An expression that has the same value as (-14) - 8 is (-14) + (-8), both of which equal -22.

Explanation:

The question is about finding an expression that is equivalent to (-14) - 8. When we subtract a positive number from a negative number, we move further to the left on the number line, making the number more negative. Therefore, (-14) - 8 is the same as adding the opposite of 8, which is -8, to -14, giving us -22. Another way to see it is moving 8 units to the left from -14 on a number line.

Thus, an equivalent expression might be the subtraction of the negative of 8, which is (-14) + (-8). We add the two negative numbers together following the rule that adding two negative numbers results in a negative sum. In this case, (-14) + (-8) is also -22.

What is the probability of spinning green on the first spinner and blue on the second spinner?

Answers

Final answer:

The probability of spinning 'green' on the first spinner and 'blue' on the second spinner can be calculated by multiplying the individual probabilities assuming that they are independent events.

Explanation:

The probability of getting 'green' on the first spinner and 'blue' on the second spinner can be calculated by multiplying the individual probabilities if the two events are independent. If the first spinner has 'g' green out of 't' total possible outcomes and the second spinner has 'b' blue out of 's' total outcomes, the first probability would be 'g/t' and the second one 'b/s'. Hence, the probability of spinning 'green' on the first and 'blue' on the second would be (g/t) * (b/s).

For instance, if the first spinner has 2 green areas out of 10 total (2/10=0.2) and the second spinner has 3 blue areas out of 10 (3/10=0.3), then the probability of spinning 'green' first and 'blue' second would be 0.2*0.3=0.06 or 6%. Remember that the aforementioned explanation assumes that the outcomes from the two spinners are independent, that is, the result from the first does not affect the result from the second.

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The probability of spinning green on the first spinner and blue on the second spinner is 1/9.

To calculate the probability of independent events, we need to multiply the probabilities of each event occurring separately.

Assume the first spinner has equal sections for each color: red, blue, and green.

Thus, the probability of spinning green is 1/3.

Similarly, assume the second spinner has equal sections for each color: red, blue, and green.

Thus, the probability of spinning blue is 1/3.

Since the spins are independent events, the overall probability is calculated by multiplying these probabilities:

P(Green on first) * P(Blue on second) = 1/3 * 1/3 = 1/9

Owen follows the rule "divide by 2" to write the pattern below. He will write two
more numbers to complete the pattern. Which statement is true?
800, 400, 200, 100, O, O
1) Every number in the pattern will have a 0 in its ones place.
)) Every number in the pattern will have a 0 or a 5 in its tens place.
) Every number in the pattern will have a 0 or a 5 in its ones place.
)) Every number in the pattern will have a 0 in its tens place.

Answers

Answer:

C)

Step-by-step explanation:

100/2 = 50 goes in the fifth position of the list

50/2 = 25 goes in the sixth position of the list

And the complete pattern is: 800, 400, 200, 100, 50, 25

Then, every number in the pattern will have a 0 or a 5 in its ones place.

What is the volume of the prism?
An oblique prism has a square base and height of 3
centimeters.
30 cm
O 45 cm
60 cm
75 cm

Answers

Answer:

75 cm³

Step-by-step explanation:

Edge 2020

The volume of the given prism is equivalent to V = a².

What is volume?

Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫∫ F(x, y, z) dx dy dz

Given is to find the volume of the prism that has a square base and height of 3 centimeters.

The volume of a square pyramid is -

V = a²h/3

Now, the base edge length is not given. Assume it to be {a} units. So, we can write -

V = 3a²/3

V = a²

Therefore, the volume of the given prism is equivalent to V = a².

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Please help me with the problem attached.

Answers

Answer:

c

Step-by-step explanation:

The answer is A does this help?

What is the value of x?

12x+34=9

Answers

Answer:

B. 16 1/2

Step-by-step explanation:

1/2x+3/4=9

multiply both sides by 4

4(1/2x+3/4)=9x4

2x+3=36

2x=36-3

2x=33

x=33/2

x=16 1/2

Answer:

2.1

Step-by-step explanation:

you start with 12x+34=9 so do inverse operations

12x+34=9

     -34 -34

12x=-25

12x/12=-25/12

x=-2.083333ect.

or 2.1

What are the vertices of the hyperbola whose equation is (x+3)^2/4-(y-5)^2/16=1

Answers

Answer:

(-5,5) and (-1,5)

Step-by-step explanation:

second option on edge

Answer:

Provided below. Hope this helps:))

Step-by-step explanation:

*ANSWER CORRECTLY TO BE COUNTED AS BRAINLIEAT*

Answers

Answer:

mean = 6.4

median = 6.5

range = 9

Step-by-step explanation:

hope this helps!!

Answer:

Step-by-step explanation:

Mean = Sum of scores/number of games

[tex]=\frac{4+10+7+9+2+11+4+9+2+6}{10}\\\\=\frac{64}{10}\\\\[/tex]

Mean = 6.4

4,10,7,9,2,11,4,9,2,6

Ascending order: 2,2,4,4,6,7,9,9,10,11

Median is the middle term. As number of terms is even number (10),

We have to find the mean of middle terms. ie median of 5th and 6th term

[tex]Median=\frac{6+7}{2}\\\\=\frac{13}{2}[/tex]

Median = 6.5

Range = Maximum score - minimum score

  = 11 - 2

Range = 9

Gianna used two refrigerators, each set to a different temperature, to cool two cups of hot liquid

Answers

Answer:

Whichever refrigerator has the HIGHEST temperature will make the hot liquid cool slower and whichever one has the LOWEST temperature will cool the hot liquid faster

Step-by-step explanation:

EXAMPLE: If one is 55 degrees and the other one is 5 degrees, the one that is 5 degrees will cool the hot liquid faster.

Answer:When Gianna placed the two cups in the refrigerators, the liquid placed in refrigerator A was WARMER than the liquid placed in refrigerator B.

The END BEHAVIOR of the two functions implies that refrigerator A is set to a HIGHER temperature than refrigerator B.

Step-by-step explanation:

trust me bro

- 3x + 2 - 5(2x -1) simplified

Answers

Answer:

-13x + 7

Step-by-step explanation:

trust me

If 2c + 1 = 11, what is the value of 2c?


A. 4
B. 5
C. 10
D. 12

Answers

Answer:

2c =10

Explanation:

2c+1-1=11-1          - Subtract 1 from both sides

2c=10                  - Simplify

If you want the value of x you would divide 2 on both sides and you would get 5. But you asked for 2c that's why I gave you 2c.

 Hoped this helped! :)

Answer:

2c =10

Step-by-step explanation:

~Inosuke Hashibria~





The dot plot shows the number of magazines sold. Determine the median of the data set.
A) 17

B) 19
C) 20
D) 23

Answers

Answer:

C) 20

Step-by-step explanation:

The median is the middle most number of the dataset.

17 18 18 19 20 20 20 20 20 23 23 23 24 25 25

20 is the middle most number. The median is 20.

Answer:

20

Step-by-step explanation:

Median is the middle value

Median position: (15+1)/2 = 16/2

= 8th value

Read in ascending or descending order, 8th value is 20

What is the factorization of 12164 - 49?
O (11b - 7)(11b - 7)
O (11b + 7)(11b - 7)
O (1162 - 7)(1162 - 7)
O (1162 + 7)(1162 - 7)

Answers

The factorization of 12164 - 49 is,

⇒ (110.3 - 7) (110.3 + 7)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The number is,

⇒ 12164 - 49

Now, We can factor as;

⇒ 12164 - 49

⇒ 110.3² - 7²

⇒ (110.3 - 7) (110.3 + 7)

Thus, The factorization of 12164 - 49 is,

⇒ (110.3 - 7) (110.3 + 7)

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What is the volume of a square pyramid if the perimeter of the base is 44 in and the height is 19 in.? Round to the nearest tenth

Answers

Answer:

The volume of the square pyramid is 766.3 in³ approximately.

Step-by-step explanation:

To find the volume of the square pyramid whose perimeter of the base is 44 in and a height of 19 in, we will follow the steps below:

Write down the formula for calculating volume of the square pyramid

v=A(h/3)

where v is the volume, A is the area of the base and h is the height.

From the question given, the perimeter of the base is 44.

If the perimeter of the base is 44, then we can say;

4l = 44

Dividing both-side by 4

l = 11

The length of the base = 11

Area of the base = l² =11² = 121 in²

Als from the question given, height is 19 in.

we can now proceed to plug in our values into the formula

v=A(h/3)

v = 121 (19/3)

v≈766.3 in³ to the nearest tenth.

Therefore, the volume of the square pyramid is 766.3 in³ approximately.

Find the area of the rectangle polynomial​

Answers

hello,

[tex]Area =(2x + 4) \times ( 4x - 2) \\ Area =8 {x}^{2} - 4x + 16x - 8 \\ Area = {8x}^{2} + 12x - 8[/tex]

[tex]\boxed{crsjr}[/tex]

Answer:

[tex]\Longrightarrow: \boxed{\sf{8x^2+12x-8}}[/tex]

Step-by-step explanation:

Using the distributive property, you multiply by the area to find the area of the rectangle polynomial.

[tex]: \Longrightarrow \sf{(Area)= (2x+4)*(4x-2)}[/tex]

Solve.

(2x+4)*(4x-2)

Multiply by expand.

Use the distributive property.

Distributive property:

⇒ A(B+C)=AB+AC

Use the FOIL method.

FOIL method:

[tex]\Longrightarrow: \sf{\left(A+B\right)\left(C+D\right)=AC+AD+BC+BD}[/tex]

[tex]\Longrightarrow: \sf{2x\cdot \:4x+2x\left(-2\right)+4\cdot \:4x+4\left(-2\right)}[/tex]

[tex]\Longrightarrow: \boxed{\sf{=8x^2+12x-8}}[/tex]

Therefore, the correct answer is 8x²+12x-8.

I hope this helps! Let me know if you have any questions.

A skating rink charges a group rate of $9 plus a fee to rent each pair of skates. A family rents 7 pairs of skates and pays a total of $30. What does "X" represent?

Answers

Final answer:

In the problem, 'X' denotes the cost to rent each pair of skates. Setting up and solving the equation, 9 + 7X = 30, we find 'X', the cost per pair, is $3.

Explanation:

In this problem, 'X' represents the cost to rent each pair of skates. The problem refers to a situation where a skating rink charges $9 for a group rate and an additional fee for every pair of skates rented. According to the provided information, a family who rents 7 pairs of skates pays a total of $30. We can set up an equation to solve for 'X.'

The equation is 9 + 7X = 30, where X is the cost per pair of skates.

To solve this equation, you have to subtract 9 from both sides, getting 7X = 21. Afterward, you divide both sides by 7, and you get X = 3. Therefore, 'X' corresponds to $3, the cost per pair of skates.

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Help plz the value of x and y

Answers

Answer:

ANSWER IS A ...........

multiply write the result in scientific notation (9.10^4)(8.10^6) help please​

Answers

Final answer:

To multiply numbers in scientific notation, multiply the coefficients and add the exponents. The final answer is 7.2 x 10^11.

Explanation:

To multiply numbers in scientific notation, you need to multiply the coefficients and add the exponents.

In this case, (9.104) multiplied by (8.106) gives you (9 * 8) multiplied by (104+6).
So the result is 72 multiplied by 1010, which can be written in scientific notation as 7.2 x 1011.

clara read 2/3 of a book. which fraction is equivalent to what clara read?

Answers

uhh i think maybe 4/6?

Answer:

1/3 of the book she needs to read

Step-by-step explanation:

Use the values given in the table and the functions to
determine the missing values. Help please

Answers

Answer:

1/4

1

4

Step-by-step explanation:

The function is g(x) = 4^((1/2)*x)

For A, the value is -2.  Plug this into the equation.

g(-2) = 4^((1/2)*-2)

g(-2) = 4^(-1)

g(-2) = 1/4

For B, the value is 0.  Plug it into the equaiton.

g(0) = 4^((1/2)*0)

g(0) = 4^(0)

g(0) = 1

For C, the value is 2.  Plug it into the equation.

g(2) = 4^((1/2)*2)

g(2) = 4^1

g(2) = 4

function is a relationship between inputs where each input is related to exactly one output.

The value of A is 1/4.

The value of B is 1.

The value of C is 4.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = [tex]4^x[/tex]

g(x) = [tex]4^{\frac{1}{2}x[/tex]

For x = -2

A = [tex]4^{\frac{1}{2}\times-2[/tex]

A = 1/4

For x = 0

B = [tex]4^0[/tex]

B = 1

For x = 2

C = [tex]4^1[/tex]

C = 4

Thus,

The value of A is 1/4.

The value of B is 1.

The value of C is 4.

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The city plans a roadway to have trees every 1/6 mile. If the path is 5 1/2 miles long, how many trees will the city need?

Answers

Answer: The city will need 33 trees.

Step-by-step explanation:

Hi, to answer this question we simply have to divide the length of the path (5 1/2 miles) distance between trees (1/6).

Mathematically speaking:

5 1/2 ÷ 1/6 = (5x2+1) /2 ÷1/6 = 11/2 ÷1/6 = (11x6) /(2x1) = 66/2 =33 trees

The city will need 33 trees.

Feel free to ask for more if needed or if you did not understand something.  

Final answer:

To determine the number of trees needed for a roadway with trees spaced every 1/6 mile along a 5 1/2-mile path, divide the total distance by the spacing distance to find 33 trees required.

Explanation:

Roadway:

To find the number of trees needed, we first calculate the distance between trees: 1/6 mile. The total length of the road is 5 1/2 miles, so we divide the total length by the distance between trees to find the number of trees needed:
5 1/2 miles ÷ 1/6 mile = 5.5 ÷ 1/6 = 5.5 * 6 = 33 trees

help me in geometry!!

Answers

Answer:

30.

Step-by-step explanation:

To find the area of a rectangle, you need to multiply length x width.

A = L x W

6 x 5 = 30.

Feel free to let me know if you need more help. :)

Determine the equation for the given line in
slope-intercept form.
y=-5/3x-1
Y=5/3x+1
Y=3/5x+1 Y=-3/5x-1

Answers

Answer:

Y= -3/5 - 1

Step-by-step explanation:

if you start on the y intercept an go down once (-1)

then go down three times (-3)

positive 5 so go right 5 times it lands on the point :)

im not a teacher and i took this last year so sorry if my explanation isn't the best

The equation for the given line in slope-intercept form is y = (-3/5)x - 1.

Option D is the correct answer.

We have,

The slope-intercept form of a linear equation,

y = mx + b

where m represents the slope of the line and b represents the y-intercept.

The slope (m) of the line using the two given points (0, -1) and (5, -4):

m = (y₂ - y₁) / (x₂ - x₁)

m = (-4 - (-1)) / (5 - 0)

m = (-4 + 1) / 5

m = -3 / 5

Substitute it into the slope-intercept form, along with one of the given points (0, -1), to find the value of b:

-1 = (-3/5)(0) + b

-1 = b

The y-intercept (b) is -1.

The equation of the line using the slope-intercept form:

y = (-3/5)x - 1

Thus,

The equation for the given line in slope-intercept form is y = (-3/5)x - 1.

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(5x+2)(2x-3) legit idk what to do xD

Answers

Answer:

make it polynomial eqution and than solve it for x

Step-by-step explanation:

hope this will help you

Answer:

10x² - 11x - 6

Step-by-step explanation:

(5x+2)(2x-3)

10x² + 4x - 15x - 6

10x² - 11x - 6

FIRST PERSON TO HELP GETS MARKED BRAINIEST !
(You have to actually help)

Answers

the value of d is equal to 13 inches

Answer: d = 13 inches.

Step-by-step explanation: The total surface area  = 674 in²

Given the value of rectangular prism are 9 and 10 in respectively.

Area of rectangular prism = 2(lw+ wh+ lh)

2(d10 + 10×9+d9) = 2(19d+90) = 38d+180 = 674

38d = 674-180 = 494

d = 494/38 = 13in

∴ d = 13in

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When Bolt was younger, he trained against other great runners, comparing his training program and performance to theirs. Bolts naturally athletic gifts and hard training drove him to be the best. Bolt competed in the 100-meter dash against a group of other runners to see which among them was the fastest. Who is allowed to vote in the United States I NEED AN ANSWER FAST!!! PLEASE HELP! which of the following was not an Impact of World War I on the daily lives of Washington Citizens? 1) Families felt the affects of the draft.2) Acts of disloyalty were questioned, and could result in arrest. 3) People conserved food and fuel.4) American citizens were sent to relocation camp. Think about the last speech you gave. Was your speech clear and interesting? If it was, list at least 3 or 4 specific things you did to make the speech clear and interesting. If it wasnt, list at least 3 or 4 specific suggestions of what you could have done to improve and make your presentation even more clear and interesting. evaluate the expression for p=281-p charlee wants to send postcards to all of her family and friends but she does not have any postcards she does have 3 large sheets of poster board,each sheet can be cut into 12 postcards how many postcards can charlee make My name is Carlos. I came to America from Cuba in 1971.There are about a million other Cubans that have movedfrom Cuba to the United States. Many Cubans live inMiami, Florida. We like to live near each other so that wecan support each other here in America. Living nearother Cubans is nice. I can speak to my neighbors in mynative language, which is Spanish. Lots of restaurants inmy neighborhood cook the same kinds of foods that I ateback home. Most people who have come from Cuba likeme came because we were very unhappy with the Cubangovernment. In America, people's rights are protected bythe US Constitution. In Cuba, the government doesn't letyou say what you want, or vote, or open a business if youwant to. It is dangerous to speak out against thegovernment in Cuba. It is much safer here.What is one push factor that inspired Carlos to leaveCuba?What is one pull factor that inspired him to come toAmerica?Carlos describes a vibrant Cuban community in Miami,which was afor him.He also mentions the danger of speaking out againstthe Cuban government, which was a Calculate the expected pH of the solution at the equivalence point using YOUR AVERAGE VALUES for the concentrations of NaOH and acetic acid and the volumes of each that you used. (Just like in Prelab Q3, you will only have the conjugate base and spectator ions present at the equivalence point in a volume that is the sum of the volumes of acid, water, and base you combined.) The Ka for acetic acid is 1.8 x 10-5.' What is x? Please help FAST The controller of Diaz Co. believes that the yearly allowance for doubtful accounts for Diaz Co. should be 2% of net credit sales. The president of Diaz Co., nervous that the stockholders might expect the company to sustain its 10% growth rate, suggests that the controller increase the allowance for doubtful accounts to 4%. The president thinks that the lower net income, which reflects a 6% growth rate, will be a more sustainable rate for Diaz Co.Instructions(a) Who are the stakeholders in this case?(b) Does the president's request pose an ethical dilemma for the controller?(c) Should the controller be concerned with Diaz Co.'s growth rate? Explain your answer. Steam Workshop Downloader