1. Find the equation of a parabola with a focus of (0, -6) and directrix y = 6.

Max points

1. Find The Equation Of A Parabola With A Focus Of (0, -6) And Directrix Y = 6.Max Points

Answers

Answer 1

9514 1404 393

Answer:

(d)  y = -1/24x² (b)  y = 1/36x²

Step-by-step explanation:

1. The point halfway between the focus and directrix is the origin. That is, the vertex of the parabola is the origin. Then its equation can be written ...

  y = 1/(4p)x²

where p is the distance from the vertex (origin) to the focus. Here, that distance is -6, so 4p = -24 and the parabola's equation is ...

  y = -1/24x²

__

2. Same deal. The vertex is the origin, but this time the focus is above the origin by 9 units. Then the equation is ...

  y = 1/36x²

1. Find The Equation Of A Parabola With A Focus Of (0, -6) And Directrix Y = 6.Max Points

Related Questions

-4 times what equals 3x ?

Answers

Answer:

[tex]\large\boxed{\tt-\frac{3}{4} x}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to identify the missing number for our equation.}[/tex]

[tex]\textsf{First, we should translate our \underline{word form} equation into \underline{numerical form}.}[/tex]

[tex]\tt \underset{-4}-4 \ \underset{\times}{times} \ \underset{?}{what} \ \underset{=}{equals} \ \underset{3x}{3x}?}[/tex]

[tex]\tt -4 \times \ ? = 3x[/tex]

[tex]\large\underline{\textsf{Identifying Ways of Solving;}}[/tex]

[tex]\textsf{We know that the unknown value is multiplied by -4 to equal 3x.}[/tex]

[tex]\textsf{-4 will equal the quotient of 3x and the unknown number.}[/tex]

[tex]\textsf{Hence, the unknown number will equal the quotient of 3x and 4.}[/tex]

[tex]\large\underline{\textsf{Solving For the Unknown Number;}}[/tex]

[tex]\tt \frac{3x}{-4} = Unknown \ Number[/tex]

[tex]\underline{\textsf{Multiply the Numerator and Denominator by the Reciprocal of -4;}}[/tex]

[tex]\textsf{The Reciprocal is a fraction where the numerator and denominator flip.}[/tex]

[tex]\tt Reciprocal \ of \ -4 \ is; -\frac{4}{1} \rightarrow \boxed{-\frac{1}{4}}[/tex]

[tex]\mathtt{ \frac{-\frac{1}{4} \times3x}{-\frac{1}{4} \times -4} \rightarrow \frac{\frac{-3}{4}x }{1} \rightarrow \large\boxed{\tt-\frac{3}{4} x}}[/tex]

If jada can walk 2 miles in 1.5 hours, how long will it take jada to walk 6 miles?

Answers

If 2 miles = 1.5 hours
Then 6 miles = 1.5 x 3 = 4.5 hours

Answer= 4.5 hours

The population of a town has been decreasing By 5% each year for the last two years the current population of the town is 1510 people what was the population two years ago

Answers

First start with your starting value which is 1510 and then get the multiplier.. to get the multiplier for a precent decrease you have to subtract it from 100%.. once you’ve got the multiplier you put it into the equation and because it’s asking for 2 years ago you make the exponent -2

Mr. Thompson asked 50 students were about their
favorite ice cream.
1/5 of the students chose Vanilla
1/2 of the students chose Chocolate The remaining chose Strawberry
How many students chose Strawberry as their favorite flavor?
What decimal represents the students who
prefer cookie dough?

Answers

Answer:

0.12 chose strawberry as their favorite

Consider a political discussion group consisting of 8 ​Democrats, 4 ​Republicans, and 2 Independents. Suppose that two group members are randomly​ selected, in​ succession, to attend a political convention. Find the probability of selecting two Democrats .

Answers

Answer:friend

Step-by-step explanation:

What are the domain and range of the function

Answers

Answer:

2nd option

Step-by-step explanation:

domain: x<5  (-∞ , 5)

range: (-∞ , ∞)

PLS SOLVE I WILL GIVE BRAINLIEST

Answers

Answer:0.8004

Step-by-step explanation:

The correct answer is 0.8004

Brihana kayllie works in a chocolate factory. She gets 8.75 per hour. how much money does she earn in 8 hours? 40 hours? Show your work in the box provided.

Answers

Answer:

Briana would get $70 in 8 hours and $350 in 40 hours.

Step-by-step explanation:

Multiply 8.75 by 8 to get $70

Multiply 8.75 by 40 to get $350

Hope this helps!!

Answer:

70$ in 8 hours and 350$ in 40 hours

Step-by-step explanation:

8.75 + 0.25 = 9 X 8 = 72 - 2 = 70

0.25 X 8 = 2

8.75 + 0.25 = 9 X 40 = 360 - 10 = 350

0.25 X 40 = 10

Please help

Solve for w

Answers

For me I got got w = 2.4
The correct answer is 2.4 .I know this for a fact! These are my favorite types of math problems!!

I hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!

Mark this as Brainliest if you get a chance:)

determine 1/60 of 1/60 of an hour​

Answers

Answer:1 second.

1/60 of an hour is a minute so 1/60 of a minute is a second

Who was the first mathematician who created pi?

Answers

Answer:

One of the earliest known mathematicians were Thales of Miletus.

Archimedes of Syracuse

The first calculation of π ( pi ) was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.

In which sentence is a possessive pronoun spelled correctly?
A. I think this baseball is our’s.
B. The other team said the ball was their’s.
C. I like the stadium because it’s roof can be open or closed.
D. When we got to our seats , some other fans said the seats were theirs.

Answers

Answer:

D) when we got to our seats, some other fans said the seats were theirs

Answer:

not sure why you're in math, but I'm pretty sure the answer is D.

please help me plsssssss! asappp. I'll mark brainlest and give points ​

Answers

Answer:

Step-by-step explanation:

1)a) Abscissa of O   0

 Abscissa of A  4

Abscissa of B    -3     {opposite of 3}

Abscissa of C    3      {3 is the only positive integer like A}

Abscissa of D    -4.5

Abscissa of E   -6

Abscissa of F   -1           {Midpoint of AE = (6+4)/2 = 10/2 = 5th number from -6 or 4}

b) OB = 3 units

DA = 8.5    {4.5 +4 = 8.5}

Write and solve a proportion to find the perimeter of a square when its side length is 12.

Ty

Its 12 points

Answers

Answer:

48

Step-by-step explanation:

setup a ratio using the length and perimeter then reduce it.

[tex] \frac{2}{8} [/tex]

reduces to

[tex] \frac{1}{4} [/tex]

the numerator is length and denominator is perimeter. setup the proportion

[tex] \frac{1}{4} = \frac{12}{p} [/tex]

cross multiply

[tex]1p = 48[/tex]

1 times p = p, so the answer is 48

To Baker’s plus their contents have a mass of 180.4 g the total mass of the contents is 56.8 g each Baker has the same mess right and solve an equation to find the mass of one bigger

Answers

yes because the guy

susan and teo play soccer susans team plays every five days and teos team plays every six days when will they play on the same day

Answers

Answer: On day 30

Step-by-step explanation:

1. skip count by both 5 and 6 and look for the first number they have in

   common  5, 10, 15, 20, 25, 30, 35, 40, 45, 50

                    6, 12,18, 24, 30, 36, 42, 48, 54, 60

            30 is the first number in common

                         

cuanto es 21:45 dividido a 7:15?​

Answers

Answer:

Entraría 3 veces.

Step-by-step explanation:

Podemos probar esto encontrando el máximo común divisor entre 21 y 45

21: 1,3,7,21

45: 1,3,5,9.15,45

Encontramos que 3 es el máximo factor común. Entonces dividimos ambos números por 3. Para obtener 7:15.

Write and solve an equation to find the unknown side length x
(in feet).

Perimeter =34.6
ft

Answers

Answer:

We want to find the value of 'x' and we are asked to set up an equation to find the value of x. In equation we must remember to get all the numerical values to one side and all the non-numerical values to the other while remembering to keep the equation balanced for example if we add 4 on one side we must do it to the other side to keep the equation balanced so, → x + 5.2 + 11.1 + 6.4 = 34.6 ⇒ Simplify equation → x + 22.7 = 34.6 ⇒ Minus 22.7 from both sides to isolate x → x = 11.9 feet

Step-by-step explanation:

mark brainliest

Answer:

1.08 feet

Step-by-step explanation:

5.2+6.4+11.1+x = 34.6

11.1x = 34.6 - 22.7

11x = 11.9

x = 11.9/11

1.08 feet

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:
382 hours

Explanation:
First we find hourly wage, which is 5406/318=17
Next, we just divide 6494 by the hourly wage to get the hours needed to work
6494/17=382
So if they work at an hourly wage of $17 an hour, then it would take 382 hours to get $6494

Answer:

318 hours

Step-by-step explanation:

5406/318=17

6494/17=382

A truck can be rented from company A for $100 a day plus $0.60 per mile. Company B charges $40 a day plus $0.90 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Company A less than rental cost of Company B?

Answers

Answer: past 200 miles

Step-by-step explanation:

Please help me out I am not good at math so I would very appreciate

Answers

To me it looks like the perimeter is 84 and the area is 360?

At the movie theatre, child admission is $5.20 and adult admission is $8.40. On Wednesday, 154 tickets were sold for a total sales of $1069.60. How many adult tickets were sold that day?

Answers

Answer:

127

Step-by-step explanation:

1069.60 divided by 8.40 equals 127.

Tyler has two maps of Ohio

Answers

Answer:

that’s nice good for him

The table shows the prices for games in Bella's soccer league. Her parents and grandmother attended a soccer game. How much did they spend if they all went together in one car?

Answers

Yeshdisbsksbbdbdmxkgxjgxufx

help help help help thankyou

Answers

Answer:

3.4×10⁴

Step-by-step explanation:

1.6×10⁴=1.6×10000=16000

5×10⁴=5×10000=50000

5000-16000=34000

=3.4×10⁴

implify 32 + 3(6 − 22) ÷ 6.
options:


A. 10


B.11


C.4


D.7

Answers

Hey there!

32 + 3(6 − 22) ÷ 6

= 32 + 3(-16) ÷ 6

= 32 + (-48)/6

= 32 + (-8)

= 32 - 8

= 24

Therefore, your answer SHOULD BE: 24

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

24

Step-by-step explanation:

You have to solve this according to BODMAS theorem,

That means,

B - brackets

O - of

D - division

M - multiply

A - addition

S - subtract

Let's solve

32 +3 (6-22) ÷ 6

32 + 3 × (-16) ÷ 6

32 - 48 ÷ 6

32 - 8

24

A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.

Each minute, the faucet allows 14 2/3 gallons of water to enter the pool, and the drain allows 16 3/4 gallons to leave the pool.

What is the change in the amount of water in the pool after 1 1/2 minutes?

Enter your answer as a simplified mixed number by filling in the boxes.

Answers

Answer:

-3 1/8 Gallons

Step-by-step explanation:

First, you need to understand how many gallons are being lost per minute.

14 2/3 - 16 3/4 =1 1/12

After this, you just need to multiply 1 1/12 by 1 1/2. This amounts to 3 1/8.

There's your answer!

Answer:

the other guy who answered is correct aswell.

The answer is - 3 1/8

need proof? here ya go-

identify two opposite rays.
please help me asap

Answers

Answer:

AP-> and AM->

Step-by-step explanation:

They are the only two rays that directly-oppositely face one another.

What is the answer to this question number 2

Answers

Answer:

B

Step-by-step explanation:

number of adults=a

number of children=1

cost of adult tickets=$9 per adult

cost of children's tickets=$6 per child

Total cost=$78

9(a)+6(1)=78

9a+6=78 B

do have a great day ahead...

Which linear function represents the line given by the point-slope equation y-8 = 1/2(x – 4)?
O f(x) = 1/2x + 4
Of(x) = 1/2x + 6
O f(x) = 1/2x-10
Of(x) = 1/2x-12

Answers

Answer:

y = 1/2x + 6

Step-by-step explanation:

y - 8 = 1/2 (x - 4)

y - 8 = 1/2x - 2

y = 1/2x -2 + 6

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