Which equation represents the directrix? y = –3 y = 3 x = –3 x = 3

Answers

Answer 1

The equation that represents the directrix of y² = 12x is x = -3

How to determine the directrix?

The parabola is given as:

y² = 12x

The general equation of a parabola is

(y-y₀)² = 4a(x-x₀)

Where the equation of the directrix is x = x₀ - a

By comparing (y-y₀)² = 4a(x-x₀) and y² = 12x, we have:

4a = 12 and x-x₀ = x

Solve for a in 4a = 12

a = 3

Solve for x₀ in x-x₀ = x

x₀ = 0

Substitute a = 3 and x₀ = 0 in x = x₀ - a

x = 0 - 3

Evaluate

x = -3

Hence, the equation that represents the directrix is x = -3

Read more about parabola at:

https://brainly.com/question/19787950

#SPJ4


Related Questions

Ali divided one fruit cake equally among six persons. What part of the cake he gave to each person? ​

Answers

Step-by-step explanation:

when we divide something equally among n people, it means we divide it equally into n parts, and every part is 1/n or 1 nth.

so, for six people or parts, everybody got 1/6 or 1 sixth of the cake.

Simplify using basic trigonometric identities

Answers

Answer:

1.cosx×cscx

=cosx×1/sinx

=cosx/sinx

=cotx

2.cotx×secx×sinx

=1/tanx×1/cosx×sinx

=1/tanx×sinx/cosx

=1/tanx×tanx

=1

hope it helps you

please help !!! its math problem i give brainlist What type of function is represented in the table below?

Answers

Answer:

linear is correct

Step-by-step explanation:

x: y = 1:5 Which is the correct equation? A y = 5x By= C y=x-4 D y=x+4
I'm leaning towards A but don't want totake the risk with a hour detention on the line if I get it wrong ​

Answers

The answer should be A. For example, if x = 1, and the ratio between x and y is y is 5 times greater than x, then y would equal 5, which is only true in A.

Or, use the number 5 as an example. If x = 5, and the ratio between x and y is y is 5 times greater than x, then y is 5.

And if you put that into A, y = 5x, it becomes 25 = 5(5)
Then 25 = 25, which is true!

20 points help please

Answers

The second question is proportional; that is, y is 4/5 times x

If you multiply each value of x by 4/5, you should get the corresponding y.

You are taking a typing class and can now type 30 words per minute. a. Set up a proportion to solve for the amount of time it would take you to type 400 words. b. Solve the proportion in part (a). c. Set up a proportion to solve for the number of words you could type in 10 minutes. d. Solve the proportion in part (c).

Whoever answers I’ll give brainliest

Answers

Answer:

hi,as u promise,lets go!!

a)1min=30w

x=400w

b)1min=30w

x=400w

1min×400w=x×30w

400w min=x×30w

30w 30w

x= 13mins and 3 sec.

c)1min=30w

10 min=x.

d)1min=30w

10min=x

1min×x=10min×30w

1min ×x = 300wm

1min 1min

x=300words.

THANKS ,HOPE IT HELPS!!BRAINLIEST

Answer:

a.) 1:30 :: x:400

b.) About 13 minutes and 35 seconds

c.) 1:30 :: 10:x

d.) 300 words

Step-by-step explanation:

a.) 1 = minute 30 = words typed in that minute 400=words typed x=minutes

b.) 400 / 30 = 13.3

c.) 1 = minute 30 = words typed in that minute x=words typed 10=minutes

d.) 10 x 30 = 300

factor the quadratic trinomial x^2-8x+18
(x+ )(x+ )​

Answers

Answer:

This is prime.

No factors.

Step-by-step explanation:

CAN SOMEONE HELP ME PLS

Answers

Answer:

9.2

Step-by-step explanation:

Find the coordinates and plug em into the equation. (-5,5) (1,-2)

Square root 85 is 9.2.

Answer:

9.2 (if rounded to the nearest tenth)

Hi can someone help me with my math homework thankyouu

Answers

Answer:

Move the decimal point in 70.91 three places to the right

 so that it becomes 70910.

Clay and his friend Lacey are making cookies for the school dance. Clay started early and has already made 3 dozen cookies. He can make an additional 2 dozen cookies an hour. Lacey has not started making cookies yet, but she has a bigger oven and can make 4 dozen cookies an hour. If Lacey starts baking her cookies right away, how long will it take for her to have made as many cookies as Clay? How many cookies will they each have made?
HELP PLEASE

Answers

If Lacey starts baking her cookies right away, then the time is taken for her to have made as many cookies as Clay will be 1.5 hours.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Clay and his friend Lacey are making cookies for the school dance.

Clay started early and has already made 3 dozen cookies.

He can make an additional 2 dozen cookies an hour.

Lacey has not started making cookies yet, but she has a bigger oven and can make 4 dozen cookies an hour.

Let y be the number of the cookies (in dozen) and x be the number of the hours.

Then the equations will be

y = 2x + 3 ...1

y = 4x       ...2

If Lacey starts baking her cookies right away, then the time taken for her to have made as many cookies as Clay will be

From equations 1 and 2, we have

2x + 3 = 4x

     2x = 3

       x = 1.5

Then the number of hours will be 1.5 hours.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Which expression could represent the phrase shown? (1 point)

"Add 4 and 5, divide the sum by 3, and then add the product of 6 and 5"

Group of answer choices

4 + 5 ÷ 3 + (6 x 5)

(4 + 5) ÷ 3 + 6 x 5

4 + (5 ÷ 3) + 6 x 5

4 + 5 ÷ (3 + 6 x 5)

Answers

Answer:

(4+5) ÷ 3 + 6 x 5

Step-by-step explanation:

pemdas

: Find the area of the shaded region for these two questions. Remember this
Area of shaded region= total area - area of unshaded region.

^explain

Answers

Answer:

c) 18 cm²

d) 30 cm²

Step-by-step explanation:

c)

You can do this 2 different ways. Either way, you need to use the bottom side of 8 cm and the two congruent segments. Each of the two congruent segments of the bottom side measures 4 cm.

Method 1) Find the area of the large triangle and subtract from it the area of the small triangle.

area of triangle = bh/2

shaded area = 8 cm × 6 cm / 2 - 4 cm × 3 cm / 2

shaded area = 24 cm² - 6 cm²

shaded area = 18 cm²

Method 2) The shaded region is a trapezoid with parallel bases of lengths 3 cm and 6 cm and height 4 cm. Find the area of the trapezoid.

area of trapezoid = (B + b)h/2

shaded area = (6 cm + 3 cm)(4 cm)/2

shaded area = (9 cm)(4 cm)/2

shaded area = 18 cm²

d)

The area of the shaded region is the area of the white triangle subtracted from the area of the rectangle.

area of rectangle = length × width

area of triangle = bh/2

shaded area = (12 cm)(4 cm) - (9 cm)(4 cm)/2

shaded area = 48 cm² - 18 cm²

shaded area = 30 cm²

Aaron took his car to the shop for an oil change. He dropped the car off at 2:34. Aaron came back to pick up his car 1 hour and 43 minutes later. What time was it when he picked up the car?

A.8:43
B.4:37
C.4:17
D.4:27

Answers

Answer:

c

Step-by-step explanation:

2.34 to 3.34 is 1hr

3.34 plus half an hour is 4.04 plus 13 mins

In 2000 the population of country a reached 4 million, and in 2025-is projected to be 7.5 million.
(a) find values for po and a so that the following formula models the population of country a in year x.
f(x)=poa*-2000
(b) estimate the country's population in 2010 to the nearest hundredth of a million.
(c) use f to determine the year during which the country's population might reach 10 million.
(a) find values for po and a.
po= million
(round to the nearest hundredth as needed.)
a=
(round to five decimal places as needed.)

Answers

Answer:

the answer is 2000 so yea

graph the line y = -2x - 2

Answers

Answer:

-2x-2

For a line equation for the form of y = mx +b, the slope is m

m= -2

The function has no undefined points nor domain

constraints. There fore, the domain is

domain: -∞<x<∞

The range of polynomial with odd degrees is all the real numbers

range: -∞<f(x)<∞

Step-by-step explanation:

graph is inserted

Suppose you have 18 more quarters than dimes. You have a total of $8.00. How many of each coin do you have? Use the substitution method to answer the question.

Answers

Answer:

18 quarters = $4.50

8.00-4.50=3.50

10 dimes+10 quarters=$3.50

Answer= you have 10 dimes and 28 quarters

Step-by-step explanation:

Answer:

You would have 18 quarters and 35 dimes

Step-by-step explanation:

A rectangle has an area of 48
48
square feet and a length of 12
12
feet.

Which answer choice shows the correct way to find
w
, the width of the rectangle?

CLEAR CHECK

12×==484 feet 12×w = 48 w = 4 feet



48−==1236 feet 48−w = 12 w = 36 feet



12×48==576 feet 12×48 = w w = 576 feet



2+24==4812 feet

Answers

Answer: i didnt understand the answer choice but the correct answer is 48/12=width. width=4

Step-by-step explanation:
as we know the area of a rectangle is area=length X width
so we plug in 48 as area and 12 as length

48=12 x width
48/12=width(divide both sides by 12)



welve books cost $59.88 and
books cost $104.79. Is there is a constant of proportionality between these purchases?
plain.

Answers

Answer:

There is a constant of proportionality between the two purchases and each book costs $4.99.

Step-by-step explanation:

A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.

In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.

In this case, the constant of proportionality [tex]k[/tex] will relate the number of books bought [tex]N[/tex] and their cost [tex]C[/tex] in the following way:

[tex]C=k*N[/tex]

So k is the price per book.

For the 12 books:

[tex]k=\frac{59.88}{12}[/tex]

[tex]k=4.99[/tex]

And for the 21 books:

[tex]k=\frac{104.79}{21}[/tex]

[tex]k=4.99[/tex]

The constant [tex]k[/tex] for the two purchases is the same, thus there is a constant of proportionality between the two purchases and each book costs $4.99.

Please help asap
trevon is helping his sister study for her geometry test while staying at a hotel.

how can trevon use the hotel's third floor, sixth floor, and the elevator to illustrate the concepts of parallel and perpendicular?
a.
the hotel floors are perpendicular to each other, and the elevator moves in a path that is parallel to them both.
b.
the hotel floors are perpendicular to each other, and the elevator moves in a path that is perpendicular to them both.
c.
the hotel floors are parallel to each other, and the elevator moves in a path that is perpendicular to them both.
d.
the hotel floors are parallel to each other, and the elevator moves in a path that is parallel to them both.

Answers

She should fart 10 times

I tried my best!!!! Hope this helps :D

Which inequality can be used to represent this scenario? Sarah has a $50 gift card for her favorite online makeup delivery service. The delivery service has a one time fee of $3.85 and the subscription is $10.50 every month. How many months of this service can Sarah subscribe to with her gift card?

Answers

Answer:

50 = 3.85 + 10.5m

Step-by-step explanation:

50 = Total

m= months

A one time payment can be deducted immediately, then the remaining amount should be divided by the price per month.

Daisy estimated a certain expression to have a value of 300. Which of these
expressions could be the one Daisy estimated?
Select the two that apply.
A. 10x2
B. 30x2
C. 100x
D. 300
E. (5x)?

Answers

Answer:

C and D

Step-by-step explanation:

C). With the X right by the 100 means that it could be anything there, so you would put a 3 at the end so then 100 x 3 = 300.
D). The value is already 300 so no need to do work there.

Using Multiplication, 100 × 3 is this expressions could be the one daisy estimated.

What is multiplication?

Multiplication is an "operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers".

According to the question.

Daisy estimated a certain expression to have a value is 300 using Multiplication we have,

100 × x =300

x = 300/100

x = 3.

Hence, 100 × 3 is this expressions could be the one daisy estimated using Multiplication.

Learn more about  Multiplication here

https://brainly.com/question/14821945

#SPJ2

Please solve with work,,, I need this quick plsssss

Answers

The volume of the solid that results, when the region enclosed by the curves, is revolved about the x-axis is 3.35 cubic units.

What is a solid revolution?

When a figure is revolved around some fixed axis, the whole three-dimensional solid formed from the area that it swaps out is called a solid of revolution.

The function is given below.

y = - x² + 1

y = 0

Then the volume of the solid will be

[tex]\rm Volume = 2\int \pi y^2 dx\\\\\\Volume = 2 \int _0^1 \pi (-x^2 + 1)^2 dx\\\\\\Volume = 2 \pi \int _0^1 (x^4 - 2x^2 + 1)dx\\\\\\Volume = 2 \pi \left [ \dfrac{x^5}{5} - \dfrac{2x^3}{3} + x \right]^1_0\\\\\\[/tex]

On solving further, we have

Volume = 2π [(1/5 - 2/3 + 1) - 0]

Volume = 2π [8/15]

Volume = 3.35

Then the volume of the solid will be 3.35 cubic units.

Learn more about solid of revolution here:

https://brainly.com/question/338504

#SPJ1

what is 4915 multiplied by 345

Answers

Answer:

1,695,675

Step-by-step explanation:

Me using the calculator <3

If Kate has an apple, an orange, a pear, a banana, and a kiwi at home and she wants to bring three pieces of fruit to school, how many combinations of fruit can she bring?
125
3!
10
5!

Answers

Answer:

it 5

Step-by-step explanation:

I don't know what to do! please help!

Answers

Answer:

128

Step-by-step explanation:

As they have added the same shape onto the top of the rectangle as they have taken away from the bottom, just do 16x8.

Whoever answers first ill mark brainlist

Answers

Answer:

∠S = 19°

Step-by-step explanation:

Since all angles in a triangle add up to 180°, we must first find how much is left.

180 - 142 = 38

And since we know that the two lines are congruent, we know that the two other angles will be the same. So we divide the remaining by 2

38 ÷ 2 = 19

So both other angles are 19° meaning that ∠S is 19°

Hope this was helpful!

Answer: m∠S = 19°

Step-by-step explanation:

    We know the angles of a triangle add up to 180° (and if you don't, you do now)

-> We are given one angle, 142°

-> We are given the fact this is an isosceles triangle, or one with two congruent sides

    [] This means the other two angles are congruent

-> Taking this information, we will set up an equation to solve for x

180° = 142° + 2x°

38° = 2x

19° = x

x = 19°

x = m∠S, so m∠S = 19°

          m∠S = 19°

geometric mean of 25 and 35

Answers

Answer:

sooo i  think, it  is

Step-by-step explanation:    it screen shot cause i worked it out on my computer !

Match y = 3x – 1 with its graph

Answers

I think it’s graph 3.

if 1 Bahrain Dinar= £ 2.13 Convert 4000 Dinar to Pound.​

Answers

Given:1 Bahrain Dinar= £ 2.13To find:

4000 Bahrain Dinar as Pounds.

Solution:

let the unknown be "x"

we'll have to do cross multiplication.

[tex] \frac{1}{4000} \times \frac{2.13}{x} [/tex]

so now,

[tex]x = 4000 \times 2.13[/tex]

[tex]\large\boxed{\sf{£ 8520}}[/tex]

Therefore, 4000 Bahrain Dinar is £ 8520

Answer to your question is:

£ 8520

hope this helps!

A discrete random variable is a variable that is randomly chosen and can take
on an infinite number of values over a specific range.

a. true
o
b. false

Answers

Answer:

false

Step-by-step explanation:

Other Questions
In the United States economy there is a circular flow of what three things between household businesses and markets Communication response time must be faster than in the past to succeed in the modern workplace. please select the best answer from the choices provided t f What is the consequence if someone has mental problems and hurts themselves and or others? 18. Bruno and Shmuel are told to take off their clothes to take a Is it easy to do law? One winter day, the temperature at noon was -9f The temperature then rose by 1/2 degree each hour for 3 hours before dropping by 2 1/4 degrees each hour for 2 hours. What was the temperature, in degrees Fahrenheit, at 5 PM? What is the point-slope form of a line with slope -5 that contains the pointa(2,-1)? Which of the following is an example of a secured loan?A. A student loanB. A personal loanC. A car loanD. A credit card Copper (__) is an element on the periodic table NEED HELP ASAPQuestion A.) k=5Question B.) ???? 1. A small increase in the serum concentration of drugs with these characteristics may produce an (exaggerate) .. pharmacologic response or toxicity. exaggered Amir is asked to read this data chart on the Earths layers and temperature. Which layer represents the crust?Data table containing the following four column headings. Layer number, Temperature Range in Celsius, Average Density in Gram per cubic centimeter, and Composition. Four rows are seen with the following readings. Layer 1, 4400-6100, 11.1, liquid nickel and iron. Layer 2, 200-400, 3.0, solid rock. Layer 3, 5000-7000, 12.8, solid nickel and iron. Layer 4, 500-4000, 4.5, molten rock.A. Layer 1B. Layer 2C. Layer 3D. Layer 4 what military strategy borrowed from previous experience with Native Americans was used by patriots in the struggle against british troops advancing throughout massachusetts in 1775 Why was the French an the Indian war important Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm2. What is the area of the larger region? Explain your reasoning. Which of the following is a physical change?sawing a piece of wood in halfO burning a piece of woodO a copper statue turning from red to greenOrust forming on an iron fence need help with this math Complete the sentence using the word refracting, radlo, or space.Telescopes that use lenses to bend light are calledtelescopes. Solve the following system of equations using the method of substitution. Please help!!! A textbook has `428` numbered pages, starting with 1.You are equally likely to stop on any of the pages if you flip through the book randomly.If you repeat this experiment `50` times, about how many times do you expect to turn to an even-numbered page?