A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0). What is the equation of the directrix? x=−4 y=−4 x=4 y=4

Answers

Answer 1

The equation of directrix of the parabola will be x = -4.

What is directrix ?

Directrix is a straight line distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus. The directrix is perpendicular to the axis of symmetry and does not touch the parabola.

We have,

Vertex of parabola = (0, 0),

Focus of the parabola = (4, 0),

Now,

The Equation of directrix is given by y = -a

Where,

The equation of the parabola, [tex]y^2 = 4ax[/tex],

And,

Focus at (a, 0),

i.e. a = 4    (As the given focus is (4, 0))

And,

The axis of the parabola is the positive x − axis.

So,

The equation of the directrix of this parabola,

x + a = 0,

i.e.

x + 4 = 0

x = -4

Hence, we can say that the equation of directrix of the parabola will be x = -4.

To know more about directrix click here

https://brainly.com/question/4333610

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Related Questions

please help me will give you brainliest!!

Answers

Yes
No
No
Yes
I believe

Answer:

yes, no, no, yes

Step-by-step explanation:

Plug in each point into both equations to see which ones fit.

For the first point, (4,1) it works for both equations.

1=-2( 4 ) + 9, 1= -8 + 9, 1=1

4( 4 )+2( 1 )=18, 16 + 2 = 18, 18 = 18

Do it for the rest of the points and plug them in and you get,

no for (5,-3) because -1 does not equal to -3

no for (6,0) because -3 does not equal to 0

(-5,19) is yes because 19=19 and 18=18

Please mark me brainliest

Fred paid $75 for a pack of 15 toy mice.


How much did each mouse cost?

Answers

75 divided by 15 equals 5 so each mouse cost $5.

Answer: 5 dollars

Step-by-step explanation:

75/15 = 5

Which pair of expressions has equivalent values?
O 1^13and 1^15
O 6^1 and 9^1
O 7^8 and 8^7
O 9^2 and 4^3

Answers

Answer:

1^13=1^15

Step-by-step explanation:

1 times 1 is always 1

anyone think they could help me with this ?

Answers

Answer:

10

Step-by-step explanation:

As we can see in hint through it we can identify that it is right angled triangle so here

AB = 6

FE = BC ( being corresponding sides of congruent triangle)

BC = 8

Now In triangle ABC

perpendicular (p) = 6

base (b) = 8

hypotenuse (h) = ?

By using Pythagoras theorem we get

h = √ p² + b²

= √ 6² + 8²

= √ 100

= 10

So Now

AC = h = 10

Hope it will help :)

Marisol is preparing a care package to send to her brother. The package will include a board game that weighs 4 lb and several 14 lb snack packs. The total weight of the care package must be less than 25 lb.

Which statement describes the solution to this inequality?

Drag and drop the answer into the box.

Response area

Answers

So what we gotta do is isolate the variable by

writing it out like this

4 1/4 25 those are the numbers where those go are like this

4x - 1/4 < 25 then move on to the next line on here we write out

4x + 1/4 - 1/4 < 25 + 1/4 (The reason why i put + 1/4 is because you have to isolate the variable by doing addition as well And i always find it easier to convert the fractions to decimals then after you make that line you make the next one like this you have to add 1/4 to 4x then take it away (which is 4x) then put that to the side like this 4x ? ? then we need to find those two ?s by adding 25 and 1/4 (or o.25) which is 25.25 then we need to add that to the second answer 4x ? 25.25 when you have this you need to find out which one is bigger so it is 4x<25.25 (or 25 1/4) then we need to divide 4 and 25.25 to get 6.25 so

the answer is  x < 6.25 so c is your awnser

Plz help i have a another question

Answers

B conduction !!!! hope this helps

A 19-year-old female buys 50/100/50 liberty insurance collision insurance with a $500 deductible and comprehensive insurance with a $250 deductible what is her total annual premium?

Answers

Answer:

It’s $1167.25

Step-by-step explanation:

Just got a 100%

Answer: 1167.25

Step-by-step explanation:

Step 1.

Calculate the annual premium for liability insurance

= bodily injury premium + property damage premium

= 310 + 245= 555

Step 2.

Add collision & comprehensive premium deductibles

555+ 148+ 102= 805

Step 3.

Calculate the total annual premium

805 x 1.45= 1167.25

I need help asap answer this please Solve for x.

Answers

Answer:

68

Step-by-step explanation:

x is 12


Step-by-step-explanation:

180-112=68

Then 6x-4=68
6x=72
x=12

What is the value of x?

Enter your answer in the box

x=

Answers

Answer:

the answer is 10

Step-by-step explanation:

crown if helps

It costs $7.50 to enter a petting zoo. Each cup of food to feed the animals is $2.50. If you have $12.50, how many cups can you buy?

Answers

Answer:

2

steps

7.50+2.50=10.00

10.00+2.50=12.50

so you have 2 cups of food u can buy

Suppose you worked 4.5 hours today and 2.25 hours yesterday. If you made $87, what were you
paid for each hour of work?

Answers

$12.89 should be the answer bc 4.5+2.25=6.75 and 87 divided by 6.75 is 12.888888 so i would either round up or down

can someone please help me on this

Answers

Answer:

15.7 inches

Step-by-step explanation:

A clock is a circle .  It tells us that the radius of the circle is 2.5 inches, and it is asking for the circumference.  Therefore, we can use the equations for a circle to solve for the circumference.

[tex]Circumference=2\pi r\\C = 2 \pi (2.5)\\C = 15.708[/tex]

CAN SOMEONE HELP ME WUICK IM STUCK IN THE WASHER STEP BRO

Answers

Answer:

where is the problem.....

Our world has always been faced with the problem of discrimination. It is one of the most discussed topics nowadays and throughout history. In all countries there is most likely at least one type of discrimination that affects different groups of people. The definition of discrimination is the denial of opportunity or equal rights for a specific group of people that may be differentiated by things such as their religion, color of skin, or gender. Discrimination can be confused with other terms such as prejudice and stereotype. The world we live in has been struggling with this sensitive subject for as long as we have recorded. Stereotypes are images held in our minds in regards to certain racial or cultural groups, without consideration of whether the images held are true or false. Stemming from stereotypes is prejudice. The prejudicial attitude occurs when we prejudge a person, good or bad, on the basis that the stereotypes associated with the person or group being prejudged are true. Discrimination is the combination of the terms mentioned above, but involves actually acting out with unfair treatment, directing the action towards the person or group. Prejudice and discrimination do not just occur racially, but it is found among gender, religion, culture, and geographical background. Remember that prejudice is a result of attitude and discrimination is a result of action.

Many people believe discrimination has made big steps forward, but has it really? If it has, why do people still get turned down, receive hate mail, or get ridiculed simply because they differ from each other. I guess these are questions we must ask ourselves. I guess you could also ask yourself if you have ever called anybody a name, looked at them different or judged them when you did not even know them or understand them. You may be thinking “That is not discrimination,” but, in fact, it is.

[tex]\huge\mathcal{\fbox{\fbox\red{Hello}}}[/tex]

[tex]\large\underline{\mathbb{AnSwEr}:}[/tex]

[tex]\pink{ \rule{80pt}{100000pt}}[/tex]

what is true about the shape and size of similar figures ?

Answers

Answer:

same shape and not the same size

Step-by-step explanation:

Answer: i don’t know look it up

Step-by-step explanation:

Han's bank account has a balance that is overdrawn and his account balance is -$13.00. How much would he need to deposit in order to get his bank account balance to $10.00?

Answers

Answer:

$23.00

Step-by-step explanation:

Formula: -13 + d = 10 (d = deposit)

To get d by itself, add 13 to 10: d = 23

Therefore, you need to deposit $23.00.

pls help ASAP will give brainliest

Answers

Answer:

5866

Step-by-step explanation:

Answer

5866

divide 17600 by 3

PLEASE HELP!! WILL GIVE BRAIN AND FIVE STARS

Answers

Given:-

HM = 2x+5 FM = X+8 HF = 3x+2 perimeter (∆HFM) = 51 units

To find:-

whether ∆ HFM is congruent to ∆FMK

Solution:-

:[tex]\implies[/tex] perimeter (∆HFM) = HM+FM+HF

:[tex]\implies[/tex] 51 = 2x+5+x+8+3x+2

:[tex]\implies[/tex] 51 = 6x+15

:[tex]\implies[/tex] 36 = 6x

:[tex]\implies[/tex] x = 6 units.

in ∆HFM,

HM = 2x+5 = 2(6)+5 = 12+5 = 17units FM = X+8 = 6+8 = 14 units HF = 3x+2 = 3(6)+2 = 20 units

in ∆KFM,

FM = 14 units KF = 4x-3 = 4(6)-3 = 21 units MK = 3x-1 = 3(6)-1 = 17 units

Since, all the sides of one triangle does not correspond to the other, these traingles are not congruent.

Hope it helps ⭐⭐⭐

What makes a inking and octoling and hooman different?

splatoon 3 in 2022 boiz and gurlz!

Answers

Answer:

I KNOW AND I AM PUMPED

Step-by-step explanation:

Answer: yessssiir

Step-by-step explanation:

Whitney conducted a survey of grocery store customers to determine the most popular brand of bread. Of the 66 people she surveyed, 13 customers liked Moonbeam, 22 customers liked Dora Lee, 19 customers liked Wondrous Loaf, and 9 customers liked Mostess.

Identify the sample size in the situation above.
A. 129
B. 22
C. 63
D. 66

Answers

The sample size is how many people she surveyed

Therefore the answer is 66

Answer:

66

Step-by-step explanation:

it is the total people surveyed

How do you rewrite 2/3 divided by 1/6 using a common denominator

Answers

Answer:

4

Step-by-step explanation:

what is the answer? I need it now ​

Answers

The answer is a:

It's the only one that cannot be simplified. A number that will divide evenly into both the numerator and denominator so it can be reduced, or The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number.

(I was a teensy bit confused from last time's answer, because it said select the CHOICES below sooo...)

What is
5
1
2
+
2
1
7
?

A.
7
2
9
B.
7
5
14
C.
7
3
7
D.
7
9
14

Answers

Answer:

A. 729

Step-by-step explanation:

Answer:

A: 729

Step-by-step explanation:

512+217= 729

Convert 36000cm^2 to m^2

Answers

Answer:

its 3.6

Step-by-step explanation:

Write the equation of a line with a slope of -7/2 passing through the point 2,-4

Answers

Answer:

y = -7/2x+3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = -7/2 x+b

Substitute the point into the equation

-4 = -7/2(2) +b

-4 = -7+b

Solving for b

-4+7 = -7+b+7

3 = b

The equation is y = -7/2x+3

If you could plz help it would be greatly appreciated. Questions in picture :)

Answers

Notice that 8 can be written in exponential form of [tex]2^{3}[/tex]

When you see [tex](2^{3} )^{\frac{8}{3} }[/tex] , recognize that  [tex](a^{m} )^{n} =a^{mn}[/tex]

3 × [tex]\frac{8}3}[/tex] = 8

Hence, the answer is [tex]2^{8}[/tex] . Which means 256.

Here is some indices rules/formulas you might find helpful as well:

[tex]a^{m} * a^{n} =a^{m+n} \\\\ a^{m} /a^{n} =a^{m-n} \\\\ (a^{m} )^{n} =a^{mn} \\\\ a^{-m} =\frac{1}{a^{m} }[/tex]

A ratio of 2 to 10 means​

Answers

Answer:

1:5

Step-by-step explanation:

If you simplify ( I think that's what you mean by "means")

10 is divisible by 2

2=1

10=5

1:5

A basketball player made 80 baskets in a season. Of these, 20% were three-point shots. Determine the number of three-point shots the player made?

Answers

The answer is 16 three-point shots.
The way to do this is by doing 100 / 20 which is 5, and then you would do the total (80) divided by 5 which is 16

100 pts and brainliest
Name every one of vegetas techniques and skills
Need 2 know

Answers

Answer:

1. Powerful Lungs: In the anime, Vegeta has shown himself capable of surviving for extended periods of time in outer space, without the need of air, although it can be assumed that extended deprivation of air will eventually lead to his death. 2. Telekinesis– A technique that allows the user to manipulate objects …

Techniques

1. Saiyan Energy Attack- He charges up a blast in a fashion similar to a Finish Buster, and fires it at the opponent to inflict a large amount of damage. 2. Triple Blast – An anime only technique. Vegeta fires three yellow Ki Blasts from his left hand at the same time. He uses this attack on Perfect Cell. Named i…

Martial Arts Techniques

1. Exploding Wave- The user manipulates their ki to disrupt the planet's geomagnetic field. With a swift upwards motion of the hand, the user can create a massive atomic explosion that has the potential to cause an almost endless crater in the desired area. 2. Spirit Breaking Cannon- First, Vegeta punches the

Step-by-step explanation:

Answer:Forced Spirit Fission

Despite Moro's overwhelming power, Vegeta relentlessly continues his assault, during which his fellow Z-fighters realize that Vegeta is utilizing a new technique called Forced Spirit Fission. The technique creates the accumulation of energy in the sky above them.

can i get a owa owa

Step-by-step explanation:

What is the value of x?


A. 3√
B. 21−−√
C. 9
D. 15

Answers

Answer:

x = 15

Step-by-step explanation:

Because PQ is parallel to JL,  [tex]\frac{KP}{PJ} = \frac{KQ}{QL}[/tex]

Substituting, we have [tex]\frac{x-6}{3} = \frac{x}{5}[/tex]

5(x-6) = 3x

5x - 30 = 3x

2x = 30

x = 15

Answer:

x = 15

Step-by-step explanation:

Because PQ is parallel to JL,  

Substituting, we have

5(x-6) = 3x

5x - 30 = 3x

2x = 30

x = 15

which is greater 225% or 3​

Answers

Answer:

3 is greater

Step-by-step explanation:

225% as a decimal is 2.25 and you can see that 3 is greater than 2.25

Answer:

3

Step-by-step explanation:

225% = 2.25 = [tex]2\frac{1}{4}[/tex].

So, 3 is greater than 225%.

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