Write an equation for the translation of [tex]y=\frac{4}{x}[/tex] that has the asymptotes x = 7 and y = 6.
Show all your steps, then graph it. (Be sure to link your graph with your steps.)

a.) [tex]y=\frac{4}{x+7}+6[/tex]
b.) [tex]y=\frac{4}{x-6}+7[/tex]
c.) [tex]y=\frac{4}{x+6}+7[/tex]
d.) [tex]y=\frac{4}{x-7}+6[/tex]

Answers

Answer 1
Answer: [tex]\boxed{\boxed{\sf~y=\frac{4}{x-7}+6}}[/tex]Solution Steps:

______________________________

1.) Substitute x, y, and general form using the formulas: Formula for x: [tex]x=d=7[/tex]Formula for y: [tex]y=k=6[/tex]Formula for general form y: [tex]y=\frac{a}{x-d}+k=y=\frac{4}{x-7}+6[/tex]

Note:

 - When doing problems like this, it's best to list out each formula and do the drag down method, and replace methods rather than doing it the entire mathematical way, as doing it that way takes a long time and it's more confusing than it should be.

Equation at the end of Step 1:

[tex]y=\frac{4}{x-7}+6[/tex]

2.) Simplify the d and k forms:[tex]y=\frac{4}{x-7}+6=y=\frac{4}{x-7}+6[/tex]

Note:

 - The x(d) stays the same since the 7 was positive and we plugged it in making it negative, so it doesn't need to be changed. (Another way to know if you need to change it is if the original  [tex](d)[/tex] or [tex](k)[/tex] when plugged in, you had to put them in parenthesis then most likely it needs to be changed.

 - The y(k) stays the same since the 6 was positive and we plugged it, keeping it positive so it doesn't need to be changed. (Another way to know if you need to change it is if the original  [tex](d)[/tex] or [tex](k)[/tex] when plugged in, you had to put them in parenthesis then most likely it needs to be changed.

So the answer is d, [tex]\bold{y=\frac{4}{x-7}+6}[/tex].

______________________________

Write An Equation For The Translation Of [tex]y=\frac{4}{x}[/tex] That Has The Asymptotes X = 7 And Y

Related Questions

I REALLY NEED HELP JUST 2 QUESTIONS

Answers

Answer:

1 is smooth

2 is I

Expand using Distributive property:
0.2 (y + 2) = _________

Answers

The equivalent expression of 0.2 (y + 2) is 0.2y + 0.4

The equation is given as:

[tex]0.2 (y + 2)[/tex]

To apply the distributive property, is to expand the equation

The distributive property is represented as:

a(b + c) = ab + ac

So, we have:

[tex]0.2 (y + 2) = 0.2y + 0.2 * 2[/tex]

Evaluate the products

[tex]0.2 (y + 2) = 0.2y + 0.4[/tex]

Hence, the equivalent expression of 0.2 (y + 2) is 0.2y + 0.4

Read more about the distributive property at:

https://brainly.com/question/2807928

(5x+42)+(8x-15) solve for X

Answers

Answer:

13x+27

Step-by-step explanation:

Remove the parentheses: (a) = a

=5x+42+8x-15

Group like terms:

=5x+8x+42-15

Add similar elements: 5x+8x=13x

=13x+42-15

Add and subtract the numbers: 42-15=27

=13x+27

Write the doubles plus
one fact for 7 + 7?

Answers

Answer:

7+8=7+7+1

Step-by-step explanation:

We know that double plus one fact is used to make the addition of numbers easy.

How To Explain 3,543 ÷ 3 ( math problem )

Answers

Answer:

The answer is 1,181. Here is how you divide numbers:

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Step-by-step explanation:

Example division problem:

1) Setup the division problem (84/7).

2) Divide 8 by 7 to get 1. Place this on top of the 8 and the division sign.

3) Multiply 1 and 7 to get 7. Place this under the 8.

4) Subtract 7 from 8 to get 1.

5) Carry down the 4.

6) Divide 14 by 7 to get 2. Place this on top of the 4 and the division sign.

7) Multiply 2 by 7 to get 14.

8) Subtract 14 from 14 to get 0.

So your answer for this example is 12.

Your answer for your problem is 1,181.

Hope this helps!

18 people in 6 cars
Unit rate

Answers

Answer:

This is a fraction equal to

18 people÷ 6 cars

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 6

18 people ÷ 6

6  cars ÷ 6

= 3people/1

3 people per car

Ana works at the library she has 72 books to put on the shelves each shelf can hold 7 books ana estimates that she will need 10 shelves for all the books

Answers

Answer:

11 shelves are needed

Step-by-step explanation:

Given that:

Number of books to put on shelf = 72

Number of books per shelf = 7

Number of shelves required for all books :

Total number of books / number of books per shelf

= 72 / 7

= 10. 285

Since, only 7 books can be put on a shelf, then with 10 shelves, there will be 2 books left, hence 1 more shelf will be needed.

11 shelves are needed

Solve 2x - 5 = 7
Need explanation and working out for x?

Answers

Answer:

12/2=6

Step-by-step explanation:

You have to do the same thing to each side and try and move all the numbers to one side, leaving x alone so:

2x-5=7

+5:

2x=12

/2:

x=12/2

x=6

Answer:

Move all terms not containing x to the right side of the equation.

Add 5 to both sides of the equation.

2x=7+5

Add 7 and 5.

2x=12

Divide each term by 2 and simplify.

2x/2=12/2

Divide x by 1.

x=12/2 => x=6

Step-by-step explanation:

HELP PLEASE ILL GIVE BRAINLYIST AND THANKS!!!

Answers

Answer:

y=8X

Step-by-step explanation:

the answer is B . y=8x

help me with this guys

Answers

Answer:

no. 1 a=37,no.2 b=12 thanks for your question which help to improve my knowledge

23/5+99/5-5/5
Help LOL kk want random points

Answers

Answer:

23.4

Step-by-step explanation:

23/5+99/5-5/5= 23.4

hope this helps....

23.4

have a great day and i hope you pass al of your exams! <3

Alan's grandfather made 10 pancakes Alan ate 3 pancakes his sister ate 2 pancakes what fraction of the pancakes did Alan eat

Answers

Answer:

7/3

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

10 starting pancakes = 100%

the sister ate 2 pancakes - 20%

Alan ate 3 pancakes - 30%

5 pancakes left - 50%

Alan ate 3 pancakes which is 30% of them all together.

Alan ate 3/10 of the pancakes

Alans sister ate 2/10 of the pancakes

#24 can someone help me?

Answers

Answer:

A  6.7

Step-by-step explanation:

The pythagorean theorem states that to find the hypotenuse (c) in this case the slant height you use

[tex]c=\sqrt{a^2+b^2}[/tex]

1. ) Identify a & b

height 5

half of pyramid base 4.5

2. ) Plugin the values for a and b (2 shorter legs of a right triangle)

[tex]c=\sqrt{5^2+4.5^2}[/tex]

3. )Square

[tex]c=\sqrt{25+20.25}[/tex]

4. ) Add the terms inside the square root

[tex]c=\sqrt{45.25}[/tex]

5. ) Find the square root

[tex]c=6.726[/tex]

4(3A - 4)=56 what is the variable for A?

Pls show the steps {Thanks}

Answers

4(3A - 4) = 56
first distribute 4
12A - 16 = 56
then add 16
12A = 72
finally, divide by 12
A = 6

Answer:

A = 6

Step-by-step explanation:

First, use the distributive property on the left side:

[tex]4(3A - 4) =56\\12A - 16 = 56[/tex]

Add 16 to both sides

[tex]12A = 72[/tex]

divide both sides by 12

[tex]A = 6[/tex]

2(x-7)+3=2x-10
This question has how many solutions

Answers

I believe the answer is 0=1

Answer:

there are no values of x that make the equation true

Step-by-step explanation:

there is no solution

please answer the following​

Answers

Question :

Solve the proportion :

[tex] \sf \dfrac{24}{2} = \dfrac{t}{7} [/tex]

Answer :

[tex] \sf \dashrightarrow \:\dfrac{24}{2} = \dfrac{t}{7} [/tex]

[tex] \sf \dashrightarrow \: \cancel{\dfrac{24}{2}} = \dfrac{t}{7} [/tex]

[tex] \sf \dashrightarrow \:12 = \dfrac{t}{7} [/tex]

[tex] \sf \dashrightarrow \:12 \times 7 = t[/tex]

[tex] \sf \dashrightarrow \:84 = t[/tex]

[tex] \sf \dashrightarrow \:t = 84[/tex]

Hence, The solution is [tex] \large \underline{\boxed{\sf t = 84}}[/tex]

10, 9, 10, 11, 13, 13,5
Mean
Median



what are the answers??

Answers

Mean: 8.29
Median: 10

Answer:

Mean: 8.29

Median: 10

Step-by-step explanation:

EF is perpendicular to AB. What is the slope of EF?

Answers

In Russia long ago there’s was a man

Which of the following does NOT reflect a possible relationship within a circle.



A. diameter = 2.6 cm; circumference = 8.164 cm

B. diameter = 7 in; circumference = 19.5 in

C. radius = LaTeX: \frac{2}{5}2 5; circumference = 2.51 m

D. radius = 4 yd; circumference = 25.12 yd

Answers

C is the correct answer to the equation

What is 8.5439 rounded to the nearest tenth?

Answers

Answer:

8.5

Step-by-step explanation:

[tex]8.5439 \approx \: 8.5[/tex]

Hope it helps you in your learning process.

Answer:

8.5

Step-by-step explanation:

8.5439

the tenth is were the "5" is located at after the parenthesis

4 or less, let is rest, 5 or more, let it sore

The number after the "5" is "4". Since 4 is less than 5, it wont make a difference, and so it can't change the number "5" to a higher number. And so when we want to round it up to the nearest tenth, all we need to do is take away the 439 after the 5, and we stay with....

8.5

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Solve for y. 2y= 5/6

A) 5/12
B) 3/5
C) 1 2/3
D) 2 2/5​

Answers

The answer will be A y=5/12 or I’m decimal form y=0.416

The figure below ahows the right teiangle XYz. WICH of this ratios can be used to find the cosine of the angle corresponding to 0 in a similar right triangle XY/XZ XY/YZ YZ/XZ XZ/XY

Answers

answer- XY/XZ
Explantion:XY/XZ

Please help!!!✨✨✨ this is due soon!

Answers

Answer:

324

Step-by-step explanation:

18 x 18 = 324

Answer:

324

Step by step explanation:

18² = 18 × 18

= 324

Help!


solve the following equation:
-3/4х + 12= -24
A. -16
B. -48
C. 16
D. 48​

Answers

The answer is D .............

Brianna has 30 coins in her purse that are quarters and dimes. She has a total of $5.10. How many dimes does Brianna have in her purse?​

Answers

Answer:

51

Step by-step explanation:

Dimes are .10 each so how many ,10's are in 5.10?

-7(y + 2) + 11
please help me!!
(simplify it)

Answers

Answer:

-7y-3

Step-by-step explanation:

Answer:

=-7y-3

Step-by-step explanation:

Solve the following system of equations y=-2x-5 and 2x-4y=0

Answers

Answer:

x=-2 y=-1

Step-by-step explanation:

all you have to do is substitute -2x-5 for y in the second equation

2x-4(-2x-5)=0

2x+8x+20=0

10x=-20

x=-2

y=-2(-2)-5

y=4-5

y=-1

Help me please it’s the last question and I’m stuck

Answers

Answer:

Step 3 i think because 10-7+7=13 because if u do that problem u actually get 10 instead of 13

Step-by-step explanation:

because 10-7+7=13 because if u do that problem u actually get 10 instead of 13

Given right triangle ABC, what is the value of tan(A)?
o 15/13
o 12/13
o 12/5
o13/12​

Answers

Answer:

12/5

Step-by-step explanation:

tan(a) = opp / adj

tan(a) = 24 / 10

tan(a) = 12 / 5

From the given right triangle ABC is tan(A)=12/5. Therefore, option C is the correct answer.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

From the given triangle ABC, AB=26, BC=24 and AC=10.

We know that, tanθ=Opposite/Adjacent

Here, tan(A)=24/10

tan(A)=12/5

Therefore, option C is the correct answer.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

#SPJ7

Can anyone help me with this

Answers

Answer:

3,520 is what i got

Step-by-step explanation:

LWH=V

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