A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola

Answers

Answer 1

Answer:

The equation of the Parabola

 (y - 6 )² = 8 (x -6)

Step-by-step explanation:

Step(i):-

Given directrix  x = 4

we know that    x = h - a = 4

               h -a =  4  ...(i)

Given Focus  = ( 8,6)

we know that the Focus of the Parabola

         ( h + a , k ) = ( 8,6)

   comparing  h + a = 8 ...(ii)

                  k = 6

solving (i) and (ii) and adding

   h - a + h+ a = 8 +4

           2 h = 12

              h =6

   Put h = 6 in equation (i)

  ⇒     h - a =4

  ⇒   6 - 4 = a

  ⇒      a = 2

Step(ii):-

The equation of the Parabola ( h,k) = (6 , 6)

( y - k )² = 4 a ( x - h )

(y - 6 )² = 4 (2) (x -6)

(y - 6 )² = 8 (x -6)


Related Questions

Use exponents to write each expression.
6 x 6 x 6 =

Answers

Answer:

6×6×6 = 6³

Step-by-step explanation:

Answer:

6 x 6 x 6 = 216 I believe that's right

6 and 6x are like terms
true or false

Answers

Answer:

False

Step-by-step explanation:

Like terms have the same variable and are raised to the same exponent, and 6x has a variable of x while 6 has none at all, so they are not like terms.

Help! I don’t know if I’m right

Answers

Answer:

B

Step-by-step explanation:

when dividing powers, you just subtract them so in this case subtract 6-4 which will be 2. so your answer is 11².

I think b!! hope you have a good day

????????????????????

Answers

Answer:

180 - y

Step-by-step explanation:

The exterior angle is equal to 180 minus the interior angle.

Answer:

The total angle a triangle have is 180

so now subtract it by 50

180-50 = 130

and the other angle we get is by subtracting 180-92 which is 88

y=88 degree

now x=180-(88+50)

=42

so x=42

A rectangle has a perimeter of 22cm with a length of 10m. What is the width of one side? ​

Answers

Step-by-step explanation:

We know that

1m = 100cm

according to question

perimeter of rectangle = 2 (l+b)

22cm = 2 (100+b)cm

2×(100+b)cm = 22cm

100+b cm = 22/2cm

100+b cm = 11 cm

b = 100 -11 cm

hence, breadth = 89 cm .

thanks for ask question.

Help meee please.........

Answers

Answer: B

x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right

please help its due tonight!!

Answers

Answer:

your really think ik the answer

Step-by-step explanation:

yea the  sorry

Answer:

y = 2. It is a horizontal line.

Step-by-step explanation:

The asymptote is the line that the function comes close to touching, but never will. Because the range is y > 2, you know that any value greater than 2 can and will be a y-coordinate, but the function will never have 2 as a y-coordinate. It will never touch the line y = 2, and therefore, y = 2 is the asymptote. Hope this helps!

Anybody know this need help??

Answers

Answer:

42 mi

Step-by-step explanation:

To find the perimeter, just add up all the side lengths.

13 + 14 + 15 = 42

Note this is mi and not mi² since this is not area.

Answer:

i think i know. . if its asking for the perimeter, its talking about around the triangle soooo C

Step-by-step explanation:

I'm sorry if you get it wrong. .

Jessica earned some money babysitting. She spent 1/5 of her money on lunch. She spent 1/6 of her money on gas for her car. She saved the
remaining $78.40. How much money did she earn babysitting

Answers

67.950 Abenaki bd jcjcj

Select all that apply.

Which of the following represent the rule y = x + 2?

Answers

Answer:

the first option and the 4th option are the answers the other options are wrong

State if the two triangles are congruent. If so, state how you know.

Answers

Answer: They are congruent, because the angle representers are equal on both triangles

Step-by-step explanation:

Please help me ilysm if u do ILL ALSO GIVE U BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Answer:

$1.89 for 3ft

Step-by-step explanation:

3ft x 12in = 36

36in divided by 1.89 = 19.048

18in divided by 0.89 = 20.225

So, buying $1.89 for 3 ft is the better purchase.

please help me 2/5+ -2 1/4

Answers

Answer:

-1.85

Step-by-step explanation:

Write an equation of the line that passes through (-1, – 4) and is perpendicular to the line y = (3/4)x -2

Answers

Step-by-step explanation:

The equation of the line is given above

please answer this question fast​

Answers

Answer:

348 of them are not postgraduates

Step-by-step explanation:

Answer:

348

Step-by-step explanation:

Out of 725 employees, 52% are postgraduates.

First find the percentage who are not postgraduates, or the "remaining."

100% - 52% = 48%

48% of 725 employees = how many employees?

48/100 × x/725

Cross multiply

48 × 725 = 100 × x

34800 = 100x

Divide both sides by 100

34800 ÷ 100 = 100x ÷ 100

348 = 1x

348 employees are not postgraduates

What is the joint relative frequency that a person surveyed likes classical
music and pop music? *
5 points
What Types of Music do you Like?
Classical
Yes
No
Total
Pop
Yes
No
82
42
124
15
61
76
Total
97
103
200
0.41
0.97
Ο Ο Ο Ο
0.76
0.82

Answers

Answer:???

Step-by-step explanation:

Mrs. Wilson tells you that the next test is worth 100 points and contains 38 problems. Multiple-choice questions are worth 2 points each and word problems are worth 5 points. How many of each type of question are there

Answers

Answer:

30 mcq and 8 word problems

plz mark as brainliest

A building is 200 feet high. One end of a wire is attached to the top of the building.
The other end is attached to the group 150 feet away from the base of the building. How
long is the wire?

Answers

Answer:

250 feet

Step-by-step explanation:

If you draw out this situation, you would get a right triangle with a height of 200 (feet) and a base of 150 (feet). The wire is the missing length, or the 'hypotenuse' of this right triangle. You use the pythagoras thingie, and the formula is a^2 + b^2 = c^2.

a= 200

b= 150

c= ?

40,000 + 22,500 = c^2

62,500 = c^2

c = √62,500

∴ c = 250

please please help!!

Answers

Answer:

108 No explanation needed, mark me brainliest

Answer:

108 is your correct answer

Step-by-step explanation:

what is in math solve the following equation 35x-7y=49

Answers

Answer:

There is no solution for either variable without further information, as there are two variables given, but only one relationship between them.

You could however use them as a description of a line, which gives every possible solution.

35x - 7y = 49

7y = 35x - 49

y = 5x - 7

We now have an expression describing a line with a slope of five, which crosses the y axis at (0, -7) and the x axis at (1.4, 0)

Which of the following values of x makes this equation true? (-4x – 3) - (7x - 3) = 22​

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

(-4x-3)-(7x-3) =22​  Equation

Step 2

(-4x-3)-(7x-3) =22​  Simplify

-11x=22

Step 3

-11x=22  Divide

Answer

x=-2

Now we have to,

→ find the required value of x.

Then the value of x is,

→ (-4x - 3) - (7x - 3) = 22

→ -4x - 3 - 7x + 3 = 22

→ -11x + 0 = 22

→ x = -22/11

→ [ x = -2 ]

Thus, the value of x is -2.

how many vowels does Dwayne Johnson have in his name​

Answers

Answer:

3

Step-by-step explanation:

a, e, and o

Answer:

4 vowels with but he has two o’s

Step-by-step explanation:

A ,y e, o,

Solve for x, show your work:
3/5 =x/30

Answers

Answer:

[tex]\frac{3}{5} = \frac{18}{30}[/tex]

Step-by-step explanation:

To solve this proportion, we will divide the two given denominators.

Now, we have: 30 ÷ 5 = 6

Next, we will multiply the given numerator by the quotient: 3 × 6 = 18

So, our final proportion will have to be:

[tex]\frac{3}{5} = \frac{18}{30}[/tex]

Answer:

X = 18

Step-by-step explanation:

plz refer to the picture

Mrs. Rodríguez will make name tags for each of the 45 choir members and 30 orchestra members. The materials for each name tag cost $0.44. What is the total cost of the materials Mrs. Rodríguez will use to make these name tags?

Answers

Answer:

It should be $33 - - - - -

Step-by-step explanation:

45 + 30 = 75

75 × 0.44 = 33

Answer:

It's $33

Step-by-step explanation:

Hey I need to survey 10 people who play video games so please answer or comment your answers down below :)
Survey ten people who play video games. Ask them these questions:

Why do you play video games?
What types of games do you play?
How long have you been playing video games?
How do you think video games will be played in the future?
Do you think video games will converge to a single platform in the future?
Thanks <3

Answers

Playing video games helps me if I have a rough time, I started around 2019. I play adventour type video games, not sure if raft counts, but that is a game I play too often with my friends. I think that video games probably could be played in cars as well but I dont know what else it can be or will be played on. Definitely will not be a single platform, people are too greedy everyone wants a better state then others. (not sure if that makes sense)

hope this helps :))

Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?

Answers

Answer:

Options A, B, C and D

Step-by-step explanation:

This question is not complete; here is the complete question.

Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?

A. 24

B. 36

C. 180

D. 240

E. 1656

Cost of one candy = 69 cents  

Since, cost of 24 candies = Cost of one candy × Number of candies

                                          = 69 × 24

For partial product,

69 × 24 = (60 + 9)(20 + 4)

             = 60(20 + 4) + 9(20 + 4)

             = 60×20 + 60×4 + 9×20 + 9×4

             = 1200 + 240 + 180 + 36

             = 1656

Therefore, Options A, B, C and D are not possible partial products.

Can you please help with both? :)​

Answers

Answer:

12, 20

Step-by-step explanation:

Don't worry I just know

Merry has a pipe that she wants to cut into 4 pieces. If the pipe is 26 2/3 feet long, how long should she cut each piece?

Answers

Answer: 6 2/3 ft

Explanation:

1. Turn the mixed number (26 2/3) into an improper fraction by multiplying 26 by 3 and then adding 2. (26x3=78)(78+2=80=80/3)

2. Now divide 80 by the number of pieces she’s cutting (4). (80÷4=20)

3. Now divide 20 by the denominator (3) to convert it back into a mixed number. (20÷3=6 2/3)

February 29th is on Sunday. on what day will the next February 29th be?​

Answers

Answer: Friday

Step-by-step explanation:

If February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday.

First and foremost, we should realise that February has 28 days but in leap years which takes place every 4 years, it has 29 days.

We should realise that the dates in the calendar are arranged in such a way that if a particular date falls on a particular day this year, the date will fall on the next day next year. e.g. since January 20 falls on. Wednesday this year, it will fall on a Thursday next year.

Since February 29 is a date for a leap year, following the above explanation, if February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday which is in the next four years.

PLEASE HELP HOW DO I SOLVE THIS?


12 + 7c = 103

Answers

Answer:

13

Step-by-step explanation:

7c=103-12

7c=91

c=13

Answer:

Step-by-step explanation:

Here you go mate

Step 1

12+7c=103  Equation/Question

Step 2

12+7c=103  Simplify

Step 3

12+7c=103  Subtract 12

7c=91

Step 4

7c=91  Divide both sides

answer

c=13

Hope this helps

Other Questions
4.5m is__% of 90cm. And 90cm is ___% of 4.5m.Pls help me! This is really hard. I will need help plz thank you The Earth's surface is _____ water.50 %71 %97 % Please help me fr and dont take the points just to take them its so stressful just pleasec) Briefly describe how ONE historical event or development between 600 C.E. and 1250 C.E. not explicitly mentioned in the excerpts that could be used to support Strayer & Nelsons interpretation. plzz help guys I'm so confused!!A city has a population of 400,000 people. Suppose that each year the population grows by 6%. What will the population be after 11 years? Use the calculator provided and round your answer to the nearest whole number. please help and show work if you can describe the image if you answer silly question I will report you I want at least 3 paragragh 3Peer pressure can be a good thing.What evidence from the passage supports this statement?A Some young people decide to go with the flow regardless of what theyknow is right and lose their sense of self.B SADD is a student group that works to save lives by spreading the wordabout the dangers of risky behaviors. People's peers often influence their decisions and can push them to makebad choices, even dangerous ones.D Schuyler W. did not want to go camping, but his friends convinced him to,and he had a great time. HELLO I NEED HELP PLSps. this is adjusting entries in accountingDirections: PREPARE ADJUSTING ENTRIES FOR THE FOLLOWING; TAKE NOTE THAT THE COMPANY IS USING THE CALENDAR YEAR.1. The cost of electricity used for the month of December 2018 is P4,000. The electricity bill was received and paid in January 2019. How to record the adjusting entries?2. Employees earned total salaries of P100,000 in December 2018. However, the salaries were paid only in January 2019. How to record the adjusting entries?3. Papa Co. rents out its building to a tenant for a monthly rent of P50,000. As of December 31, 2018, the tenant has not yet paid the rent for the month of December. How to record adjusting entries? PLSS I NEED ANSWERS AND EXPLANATION TOO The art teacher mixed 1/3 oz of red paint with 3/4 oz of blue paint to make purple paint. To make more of the same purple paint, she will mix exactly 2 oz of blue paint with how many ounces of red paint? Could use some help please2x+y=-4 -3y=2x+12 Sabrina uses 9 inches of ribbon to make one bow. Sabrina buys 7 packets of ribbon. Each packet of ribbon is 4.5 yards long. How many bows can Sabrina make with the 7 packets of ribbon? Which part of the Constitution gives powers to the state which are not specifically given to the federal government?The PreambleTenth AmendmentArticle Three 300 students were served about their favorite Subject the results are shown on the table below language arts 15 math 24 psi and 33 social studies 21 elective seven how many students prefer science then math three friends attend a cinema and buy tickets using this offer buy 2 tickets and get one free. they each pay 5.80. how much does each ticket cost The life span of a star depends on:plz hurry :) If you were writing a blog about the health and nutrition of middle school students, which three items would work best as evidence to support your viewpoint that readers should demand healthier lunch options for students?A. pictures of middle school studentsB. a description of how a petition will help solve the health and nutrition issueC. videos of interviews with students who agree with your viewpointD. a place where users can post commentsE. links to websites that show how providing healthier choices for lunch helped solve similar issues in other communities how do people tend to use land as the human population increases? What is formed as a result of mitosis?A.four genetically different cells.B.four genetically identical cellsC.two genetically different cellsD.two genetically identical cells Which of the following must be true for the parallelogram shown below? how many 500 mg tablets of acetaminophen would be a lethal dose for a 132 lb adult