Which equation represents a parabola opening to the right with a vertex at the origin and focus at (9,0) A. X = - 1/36y^2 B. X = - 1/6y^2 C. X = 1/36y^2 D. X = 1/6y^2

Answers

Answer 1

Answer:

Option C: x = (1/36)*y^2

Step-by-step explanation:

A horizontal parabola is written as

x = f(y) =  a*y^2 + b*y + c

If a is positive, the parabola opens to the right.

if a is negative, the parabola opens to the left.

And the vertex of the parabola has the y-value:

y = -b/2a

and the x value

x = f(-b/2a)

For our parabola, we know that:

Opens to the right:

Then the only options left are:

C) x = (1/36)*y^2

D) x = (1/6)*y^2

Because in both cases b = 0, both of the equations have the vertex in the point (0, 0).

Now let's see wich one has a focus at (9, 0)

If the vertex of our equation is:

(h, k)

Then the focus will be:

(h + a, k)

Where a is the directrix of the equation.

Here we know that the vertex is (0, 0) and the focus is (9, 0)

Then:

(0 + a, 0) = (9, 0)

The directrix is 9.

And the directrix is such that:

(x - h)^2 = 4*a*(y - k)

Replacing the values of h and k (both are zero) we get:

x^2 = 4*a*y

And we know that: a = 9

x^2 = 4*9*y

x^2 = 36*y

if we isolate y, we get:

(1/36)*x^2 = y

This is option C.

Then the correct option is C.  


Related Questions

explain how to graph y= -3/2 x + 4

Answers

Answer:

y = 3 x - 4

Step-by-step explanation:

Mikala bought an 18-kilogram bag of dog food. Her dogs eat 2 kilograms of food every 3 days. At this rate, how many days will it take Mikala’s dogs to eat all 18 kilograms of food?

Answers

Answer:

27

Step-by-step explanation:

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It needs to be 2s if you look at the graph it should show

Answer:

2 seconds

Step-by-step explanation:

Please help I have the answer but please make it look like I did the problem 31 divided by 155

Answers

Answer:

Step-by-step explanation:

155 divide by 31=5

Answer:

1/5 or 0.2.

Step-by-step explanation:

31 / 155

Now 155/31 = 5

so the answer is 1/5.

Three plus the number a is greater than or equal to 19

Answers

Answer:

a[tex]\geq[/tex]16

Step-by-step explanation:

3+a[tex]\geq[/tex]19

-3    -3

a[tex]\geq[/tex]16

(see below) (The line I drew represents where a is and if it is to be greater or equal to it must be 16 or over)

find the value of x in the figure.​

Answers

The answer is 121 because 180 - 59 = 121

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Answers

Answer:

We are learning this in 7th grade lol how did you get 7th grade math to 6th grade math

find the perimeter of the triangle

Answers

Answer:

73.7

Step-by-step explanation:

14 +14 +23+22.7=73.7

Using the data in the table below, what is the constant rate of change, k?

PLS HELP ASAP! (11 POINTS)

Answers

Its K=2.5!!! I hope this helps!!

Tanesha is mixing paint. She mixes 250 ml of white paint with 750 ml of red paint and 1200 ml of yellow paint. Work out the ratio of white to red to yellow paint. Write the answer in its simplest form

Answers

Answer: [tex]5:15:24[/tex]

Step-by-step explanation:

Given

Tanesha mixes 250 ml white, 750 ml red, and 1200 ml yellow paint

So, the ratio of white, red, and yellow paint is

[tex]\Rightarrow 250:750:1200\quad [\text{cancel by 25}]\\\Rightarrow 10:30:48\quad \text{[cancel by 2]}\\\Rightarrow 5:15:24[/tex]

The ratio of three paints is [tex]5:15:24[/tex].

Here is a list of numbers:
10, 16, 19, 16, 2, 4, 8 ,16 ,20
State the median.

Answers

Median = 16. Sorry if wrong. Have a great day

Answer: the median is 16

Step-by-step explanation:

Anyone watch anime? If you do plz answer lol, have a good day :)

Answers

Answer:

MYSTREET AND MY INNER DEMONS YES

Step-by-step explanation:

watch them

How much points do you need to pass your algebra 1 class?

Answers

you need to have a C or a 70% usually.

Answer:

You can have a D in your class to pass but if you have a F then you dont pass the class

Step-by-step explanation:

Please help,, I'll mark as brainliest if correct

Answers

the answer is, the number of packages of corn purchased

Answer:

C. The number of packages of corn purchased.

Step-by-step explanation:

We have been given that a store sells four 1 1/8-pound ears of corn in a package for $3.59. The expression represents the cost of the corn for a number of packages.

Since the cost of each package of corn is $3.59 and represents the cost of 'p' packages of the corn. So 'p' represents the number of packages of corn purchased.


Help please. I need an answer quick please.


“Select all the graphs that show a proportional relationship”




Answers

Answer:

Step-by-step explanation:

The graphs of all proportional relationships go through the origin.  The first graph satisfies this criterion; the second does not.

A soccer field is a rectangle 160 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. Use Pythagorean Theorem to determine how far the players run?

Answers

Answer:

200 meters

Step-by-step explanation:

a² + b² = c²

c² = 120² + 160²

c² = 14,400 + 25,600

c² = 40,000

√(c²) = √(40,000)

c = 200

Answer: 200 meters

The population of Arlington High School can be modeled using the equation P(t)=3,500(1.027)^t , where t represents the number of years since 2010. Is the population of Arlington High increasing or decreasing? Explain how you can tell using the equation. What would the population be after 29 years?

Answers

The population of Arlington High is increasing. Then the population of Arlington High school after 29 years will be 7579.

What is an exponent?

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

The population of Arlington High School can be modeled using the equation

[tex]\rm P(t)=3,500(1.027)^t[/tex]

Where t represents the number of years since 2010.

The population of Arlington High is increasing. Because b > 1.

Then the population of Arlington High school after 29 years will be

P(27) = 3500 (1.027)²⁹

P(27) = 7578.98

P(27) ≈ 7579

More about the exponent link is given below.

https://brainly.com/question/5497425

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The Garrett family traveled 1,280 miles in 4 days on their driving vacation.
If they traveled the same number of miles each day, how many miles did they travel in 1 day?
325
330
335
320
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Answers

Answer:

320

Step-by-step explanation:

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Answers

Answer:

length = 2w - 3

l = length

w = width

2(length) + 2(width) = perimeter

2(2w - 3) + 2(w) = 60

6w -6 =60

w = 11

len = 2(11) - 3

Step-by-step explanation:

2. Four brothers each bought two hot dogs and a bag of chips at the football concession stand. If the bag of chips was $ 1.25, and the total was $ 18.20, what was the price of one hot dog?​

Answers

Answer:

1.65$

Step-by-step explanation:

18.20$ (total price) - 4×1.25$ ( chips price) = 13.2$

13.2$ ( price of 8 hot dog)

price of one hot dog= 13.2$ ÷8= 1.65$

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Answers

Answer:

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Cody purchased a car for $4500 that will depreciate 28% a year. Write an exponential growth/decay equation that represents the value of Cody's car overtime. How much will the car be worth in 15 years? Round to the nearest cent.

Answers

Answer:

$32.60

Step-by-step explanation:

This question has to to do with exponential decay. The formula is given as:

y = a(1 - r)^x

y = Value of the material after x years

a = Initial value of the material

x = Time in years

r = rate of depreciation or decay

Therefore,

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y = 4500 × 0.72¹⁵

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y = Approximately = $32.60

Therefore the of the car after 15 years = $32.60

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Answers

Answer:

Think its D

Step-by-step explanation:

P(A) = 7/20 P(B) = 7/20 P(A or B) = 49/80, P(A and B)= ?​

Answers

Answer:

P(A and B) = 7/80

Step-by-step explanation:

The given values of the probabilities of the different events are;

P(A) = 7/20

P(B) = 7/20

P(A or B) = 49/80

P(A and B) = Required

We have by probability theory for any event;

P(A or B) = P(A) + P(B) - P(A and B)

Therefore;

P(A and B) = P(A) + P(B) - P(A or B)

Plugging in the values gives;

P(A and B) = 7/20 + 7/20 - 49/80 = 7/80

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Kevin needs 2/3 of a yard to make a pillow. he has 3 1/3 yards of fabric. How many pillows can he make?

Answers

Answer:

5 pillows

Step-by-step explanation:

3 1/3 also = 10/3

10/2 = 5

5/1 · 2/3 = 10/3

10/3 = 3 1/3

Answer:

5 pillows

Step-by-step explanation:

Divide the total amount of yards by the number of yards to make a pillow to get the number of pillows Kevin can make.

[tex]3 \frac{1}{3} /\frac{2}{3} =\frac{10}{3} /\frac{2}{3} =\frac{10}{3}*\frac{3}{2} =\frac{30}{6} =5[/tex]

Type the correct answer in each box. Use numerals instead of words.
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7
у
-2
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Complete this table to represent the inverse of function f.

Answers

Answer:

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Step-by-step explanation:

The answer is above

An equation is a math sentence. Which letter(s) represent only an expression, not a complete math sentence? (Could be more than one answer.)
1. 3y=14
2. x-6
3. a/7=6
4. 3 + 5b
5. 12=0.8(5) + c
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Answers

Answer:

2, 4, 6 are expressions

Step-by-step explanation:

A math sentence has a verb: "is equal to"  It could also be some other, similar phrase, such as "is less than" or "is not equal to," for example.

An expression has no verb!

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When using the ___ method to determine pricing, a manager my use an approved operating budget to choose a
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highest price


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profit pricing


loss-leader

Answers

Answer:

2

Step-by-step explanation:

Help me please I will give you a heart and rate if u do.

Answers

The answer is D, multiply all those numbers together.

Answer:

(B). 1240 cm²

Step-by-step explanation:

The number of wins in a season for 32 randomly selected professional football teams arelisted below. Construct a 90% confidence interval for the true mean number of wins in a season.




Mean(x) = sum of 32 observations / 32 = 7.97



Standard deviation( sd )=2.62



Sample Size(n)=32



Confidence Interval = [ 7.97 ± Z a/2 ( 2.62/ Sqrt ( 32) ) ] = [ 7.97 - 1.64 * (0.4632) , 7.97 + 1.64 * (0.4632) ] = [ 7.2,8.7 . What are the steps used to solve this? How did they find their Standard Deviation? Also what does the Z stand for in the confidence interval?

Answers

Answer:

A)CI 90 % = [ 7,2103 ;  8,7297]

B) s = √ ∑(xi - xp)²/n-1

c) z is the score for the given significance level in this case is 1,64

Step-by-step explanation:

For a confidence Interval of 90%, the significance level is α = 10 %

α = 0,1     α/2 = 0,05  and from z-table we find  z(c) for 0,05   z(c) = 1,64

CI 90 % = [ x  ±  z(c) * s/√n ]

CI 90 % = [ 7,97 ±  1,64 * 2.62/√32]

CI 90 % = [ 7,97 ± 0,7597]

CI 90 % = [ 7,2103 ;  8,7297]

B) To calculate the standard deviation of the sample the equation is:

s = √ ∑(xi - xp)²/n-1

xi - xp  is the difference between each one of the elements of the sample

xp is the mean or average of the elements of the sample and n is the sample size

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