What is the focus and directrix of a parabola?

Answers

Answer 1

Answer:

Parabolas are commonly known as the graphs of quadratic functions. They can also be viewed as the set of all points whose distance from a certain point (the focus) is equal to their distance from a certain line (the directrix).

Step-by-step explanation:

hope this helps

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Related Questions

Can someone please help me?? (Constant Proportionality)

Answers

Constant of proportionality= $34.10

Just divide the y by the x to get the constant of proportionality- this only applies IF the equation is linear.

Answer:

$34.10

Step-by-step explanation:

is the answer hope helps

Convert the equations from standard from slope-intercept form.
2x-y = -7

Answers

Answer:

Step-by-step explanation:

2x-y=2 is in standard form

(3,4) is a point on the line

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

y=2x-2 is in slope-intercept form

y-y1=m(x-x1) is point-slope form, where m is the slope and (x1,y1) is a point on the line

y-4=2(x-3) is in point-slope form

can someone answer these and plz show ur work?

Answers

Step-by-step explanation:

2(x-3)+3=6x-5

2x-6+3=6x-5

2x-3=6x-5

2x-6x= -5+3

-4x=-2

x=2/4

x=1/2

4(x-6)+4=6x-8

4x-24+4=6x-8

4x-20=6x-8

4x-6x= -8+20

-2x=12

x= 12/2

x= -6

HELLPP whatis the quotient of 30,807 and 63?

Answers

Answer:

should be 67 hope that helps

Answer:

Step-by-step explanation:

When we divide 30,807 by 63 the quotient is 489

Hope this helps

plz mark as brainliest!!!!!!

HELP -BRAINLIEST!!!!!!!

Answers

Answer:

x = -2/3 for the first one because the 2nd one is upside down

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

can i have my brainlist now

The larger of two integers is 7 times the smaller. The sum of the integers is at most 60. What are the largest two integers that can make these statements true?

Answers

Answer:

Step-by-step explanation:

[tex]X_1 = 7X_2\\X_1 + X_2 \leq 60\\7X_2 + X_2 \leq 60\\8X_2 \leq 60\\[/tex]

since the two numbers are integers,

the largest the smaller number can be is 7

so our numbers are

[tex](1, 7), (2, 14), (3, 21), (4, 28), (5, 35), (6, 42), (7, 49)[/tex]

the two integers are 7, 49

The largest two numbers which make the statement true are 7 and 49.

What is a number system?

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.

Given that the larger of two integers is 7 times the smaller. The sum of the integers is at most 60.

The two equations will be,

x₁ = 7x₂

x₁ + x₂ ≤ 60

7x₂ + x₂≤ 60

8x₂ ≤ 60

The collection of the numbers are (1,7),(2,14),(3,21),(4,28),(5,35),(6,42),(7,49).

The largest number is 7 in the collection.

Therefore, the largest two numbers which make the statement true are 7 and 49.

To know more about the number system follow

https://brainly.com/question/17200227

#SPJ2

please help!!!!!!!!!!!​

Answers

Answer:

m<3 = 82°, m<2 = 98°, m<4 = 98°

Step-by-step explanation:

360 - Overall Sum

m<1 = m<3 (They are symmetrical)

m<2 = m<4 (They are symmetrical)

if m<1 = 82°, then m<3 = 82° [= 164]

360 - 164 = 196

if m<2 = ?°, then m<4 = ?° [= 196]

196/2 = 98

4x-1=3y+5 intercepts from an equation

Answers

(3/2,0)
(0,-2). So that means that (0,2)is correct

HEEELP PLEASE I'M STUPID WITH MATH​

Answers

Answer:

cant see it

Step-by-step explanation:

at 3 pm the temperature was 12 fahrentine it began dropping 2 farenhit every hour for 7 hours. what was the temperature after 7 hours

Answers

Answer:

-2 farenhite

Step-by-step explanation:

7 times 2 = 14

12 - 14 = -2

And then you label :)

Hope I helped!

Answer: negative 2

Step-by-step explanation: take 2 away from 12 7 times then you got your answer

ninas garden is 4 meters long and 3/10 meters wide what is area of nina garden

Answers

Answer:

1.2 m^2

Step-by-step explanation:

4 times .3 = 1.2

4 puntos) Una empresa dedicada a la venta de buzos en La Victoria, dispone para la confección de 500 m de tela algodón y 520 m de tela poliéster. Cada pantalón del buzo necesita 1 m de algodón y 2 m de poliéster; para cada casaca se necesitan 2 m de algodón y 1 m de poliéster. La ganancia por cada pantalón es de S/ 9 y la ganancia por cada casaca es de S/ 12. El fabricante sabe que sus máquinas en promedio demoran 4 minutos en confeccionar un pantalón y 10 minutos en confeccionar una casaca; él promete entregar un pedido en una semana trabajando sus máquinas de lunes a viernes 8 horas diarias.
a) Modele la función objetivo y elabore el SIL para las restricciones.
b) ¿Cuánto será el pedido máximo de buzos (casaca y pantalón) que podrá entregar en una semana de trabajo? ¿Cuánto será su ganancia máxima?

Answers

Answer:

a) Las restricciones limitantes son;

1) La duración de tiempo de 2400 minutos.

2) La tela límite (algodón) de 500 m

b) El número máximo de pedidos de buzos (chaquetas y pantalones) que podrá entregar en una semana de trabajo es de 166 pares de chaquetas y pantalones.

Su beneficio máximo es 32,2[tex]\bar 7[/tex]·S

Step-by-step explanation:

a) El número de horas al día que trabaja el fabricante = 8 horas

Dado que la máquina puede hacer pantalones en 4 minutos y chaquetas en 10 minutos

Sea x = la cantidad de pantalones hechos en un día, e y = la cantidad de chaquetas hechas en una semana

Tenemos;

4 · x + 10 · y = 8 × 60 × 5 = 2400

x = y

Por lo tanto;

4 · x + 10 · y = 4 · x + 10 · x = 14 · x = 2400

x = 2400/14 ≈ 171,43, por lo tanto, redondeamos hacia abajo para dar;

x = 171

Por lo tanto, el fabricante fabrica 171 pantalones y 171 chaquetas durante la semana.

El material requerido para el pantalón = 171 m de algodón y 342 m de poliéster.

El material requerido para la chaqueta = 342 m algodón y 171 m poliéster

Para el material, tenemos [

a = Algodón, b = Poliéster

a + 2 · b = x

2 · a + b = y

3 · a + 3 · b = x + y = 2 · x

Dado que se requiere igual longitud de algodón y poliéster, dado por el coeficiente de ayb, y que la longitud del algodón es 500 m, que es menor que la longitud del poliéster, tenemos;

El número máximo de pantalones y chaqueta completos = 500/3 = 166,67 m, que se redondea a 166 pares

b) El número máximo de pares de pantalones y chaquetas que el fabricante podrá entregar en una semana de trabajo = 166 pares

Por tanto, el beneficio máximo será

La ganancia máxima = 166 × (S / 9 + S / 12) = 581 · S / 18 = 32.2[tex]\bar 7[/tex]·S.

La respuesta a esta pregunta consiste en resolver un problema de Programación lineal ( Maximizando la ganancia de la semana).

La solución  es:

x = 180

y = 160

z ( max) = 3540 $

La siguiente tabla ordena los datos del problema para la elaboración de las distintas restricciones y la formulación de la función Objetivo

Tiempo disponible :  8 × 5 × 60  = 2400 minutos

                                                 algodón  Poliéster    tiempo   Ganancia

                                                 ( metros)  ( metros)    minutos      $

Cantidad de pantalones (x )         1                2                4            9    

Cantidad de casacas (y)                2               1                10           12

Disponibilidad                             500           520           2400

Función Objetiva:    z  =  9× x   +  12 × y    a maximizar

Restricciones:

1.-Cantidad de metros de tela de algodón disponible: 500 metros

x  +  2×y  ≤ 500

2.-Cantidad de metros de tela de poliester disponible: 520 metros

2 × x + y  ≤ 520

3.-Disponibilidad de tiempo: 2400 minutos

4 × x + 10 × y ≤ 2400

Restricciones generales:

x ≥ 0   y ≥ 0    enteros

Con el uso de AtoZmath solver

La solución :

x = 180

y = 160

z ( max) = 3540 $

Related Link : https://brainly.com/question/13610156

What type of relationship is expressed below?
3.0 + 2 > 10

Answers

Answer:

The type of relationship expressed below is an INEQUALITY

Step-by-step explanation:

To solve it (though it isn't asked for but may help in the future) you would have to combine like terms.

Add 3.0 and 2, you get 5.

5 isn't greater than 10 so this inequality would be incorrect.

Miguel is buying hamburgers and hamburger buns. Hamburgers are sold in packages of 6 each. Hamburger buns are sold in packages of 8 each. What is the least number of hamburgers and hamburger buns Miguel can buy if he wants to have an equal number of each?

Answers

Answer:

24 of each.

Step-by-step explanation:

it's just lcm. find the lcm of 6 and 8. so: 12:16 then 24:24

Completing items a through z

Answers

Answer:

???

Step-by-step explanation:

Im confused ... let me know ur question in the comments so I can help! :)

4+2.2h=-3.7





Plz hurry and solve

Answers

Answer:

h=−3.5

Step-by-step explanation:

Plz give me brainliest if this helps :)

If two functions are inverses, which statement must be TRUE about the relationship between their graphs
O Their graphs are reflections in the x-axis.
O Their graphs are reflections in the y-axis.
O Their graphs are reflections in the line y = x
O Their graphs are reflections in the line y = -x

Answers

Answer:

Their graphs are reflections in the line y=x

Step-by-step explanation:

Please remember if two functions are inverse to each other then they are reflected over y=x line.

So, we can say their graphs are reflections in the line y=x

PLEASE HELP ME !!! :(

the graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n+c. what does the graph tell you about the domain and the range of this function?

Answers

Answer:

A. domain is [-k,∞), and the range is (-∞,c]

Keith designs a game in wich player work together to run a good truck business during one game the business loses $261. The four players share the loss equally write and solve an equation to represent the change in profit for each player

Answers

Answer:

Change in profit per member = - 65.25

Step-by-step explanation:

Given that :

Number of members involved in business = 4

Amount lost = $261

If loss is shared equally :

Loss per member = amount lost / number of members

Loss per member = $261 / 4

Loss per member = $65.25

Change in profit per member = - $65.25

6th grade math let’s gooo

Answers

Answer:

4/5 is greater than 3/15,, 3/15>4/5

Step-by-step explanation:

3/15 is equal to 1/5, so 4/5 is greater

The table shows the number of balls, by sport, in the gym.
Sport
Number of balls
Basketball
12
Dodgeball
16
Soccer ball
8
Tennis ball
14
Select the true statements about the information in the table.
Choose all answers that apply

Answers

Answer:$:7.

Step-by-step explanation:

Answer:

4:7

Step-by-step explanation:

Violet wants to make bouquets with roses and carnations. She has 12 roses
and 16 carnations. If each bouquet has the same of number of roses and
carnations, what is the greatest number of bouquets Violet can make? Be
sure to label your answer and spell the word correctly.
Your answer

Answers

Answer:

4 bouquets

Step-by-step explanation:

She can make four bouquets, being that 4 is the greatest common factor of both 12 and 16

A brother and sister are comparing their ages. The older sister is 8 years less than twice the brother’s age. The sum of their ages is 25 years. Let "x" be the age of the brother. Set up and solve an equation for x.

Answers

Answer:

The brother is 11 years and the sister 14 years

Step-by-step explanation:

Let x represent the age of the brother and let y represent the age of the sister. Since the sum of their ages is 25 years, the sum can be represented by the equation:

x + y = 25           (1)

The sister age is 8 years less than twice the brother’s age, this can be represented by the equation:

y = 2x -8

2x - y = 8           (2)

Solve equation 1 and equation 2 simultaneously. Add equation 1 and equation 2, this gives:

3x = 33

x = 33/3

x = 11 years

Put x = 11 in equation 1:

11 + y = 25

y = 25 - 11

y = 14 years

what point does NOT lie on the graph y=f-1 (x)

(-3,0)
(1,-1)
(7,5)
(11,7)

Answers

(-3,0) this is the answer
The answer is (-3,0)

a basketball pole is 10 feet high and cast a 12 foot shadow .a player standing nearby is 5 feet tall .how long is the player's shadow ?​

Answers

Answer:

6 feet

Step-by-step explanation: If a 10 foot object casts a 12 foot shadow, that means the shadow is 1.2 times the objects height. If the person is 5ft tall 5 x 1.2 = 6 feet

Answer:

6 ft. Shadow

Step-by-step explanation:

I am not 100% sure if this is correct but hopefully it is!

If something 10ft. high casts a 12ft. shadow then something half of 10ft. or 5 ft. would cast a 6ft. shadow.

Hope this Helps!!! :)

Write the equation of the line fully simplified slope-intercept form.

Answers

Answer:

y=4/3x-3

y intercept is -3

slope is 4/3

Find the acceleration of a car that slows from 96 m/s to 32 m/s in 8 seconds.

Answers

Answer:

That's a science question so you've got the wrong people

Step-by-step explanation:

Acceleration = change in velocity/time

Change in velocity= final velocity-initial velocity

So... 32-96/8; -64/8= -8m/s^2

Acceleration = -8m/s^2

help me out ill give u brainliest

Answers

Answer:

No solution

I hope this helps!

First option

Saw it before

There are 272 students in a school and there are 7 classrooms in total. If one classroom has
8 students and the rest of the classrooms have the same number of students, how many
students are there in each of the remaining 6 classrooms? Write and solve a two-step
equation to answer the question.

Answers

Answer:

6x + 8 = 272

44 students in each of the remaining 6 classrooms

Step-by-step explanation:

There are 7 classrooms.

1 classroom has 8 students.

The remining 6 classrooms have the same number of students each.

Let the number of students in each of the 6 classrooms be x.

In all 6 classrooms combined, there are 6x students.

Now add the 8 students of the 7th classroom.

The total number of students in all 7 classrooms is 6x + 8.

We are told there are 272 students in total, so we get the following equation.

6x + 8 = 272

Now we solve the equation.

Subtract 8 from both sides.

6x + 8 - 8 = 272 - 8

6x = 264

Divide both sides by 6.

6x/6 = 264/6

x = 44

There are 44 students in each of the 6 classrooms.

Which of the following is equal to the rational expression when x+1 or-1?
5(x-1)
(x + 1)(x - 1)
5
A.
X-1
5
O B.
X+ 1
C.
5(x-1)
x + 1
D.
5
(x - 1)(x + 1)

Answers

the answer would be (x - 1)(x + 1)
Other Questions
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