Write an equation of a parabola that opens upward, has a vertex at the origin, and a focus at (0, 2).

Write An Equation Of A Parabola That Opens Upward, Has A Vertex At The Origin, And A Focus At (0, 2).
Write An Equation Of A Parabola That Opens Upward, Has A Vertex At The Origin, And A Focus At (0, 2).
Write An Equation Of A Parabola That Opens Upward, Has A Vertex At The Origin, And A Focus At (0, 2).
Write An Equation Of A Parabola That Opens Upward, Has A Vertex At The Origin, And A Focus At (0, 2).

Answers

Answer 1

Answer:

Parabola opens upwards, so it's a vertical parabola. Vertex at origin (0,0) and focus at (0,2). Standard equation of this parabola is

| (X — h)^2 = 4p(Y — k) |

Focus is at (0,2), so distance between vertex and focus, which is p is 2 units. So 4p = 8 units.

So the equation of this parabola is,

(X — 0)^2 = 8(Y — 0)

X^2 = 8Y or Y = X^2/8

Step-by-step explanation:

Write An Equation Of A Parabola That Opens Upward, Has A Vertex At The Origin, And A Focus At (0, 2).

Related Questions

match the function equations to their graphs. please help!

Answers

Answer:

y goes from the top to the bottom postive to negative. Then x is from left to right. The left is negative the right is postive.

Step-by-step explanation:

On a coordinate plane, 2 lines are parallel to each other. This system of equations has

Answers

Answer:

no solution

Step-by-step explanation:

This is because they never intersect so there is no solution.

Answer:

no solution

Step-by-step explanation:

Will give brainliest for right answer! :)

Answers

Answer:

155.52mm

Step-by-step explanation:

the area of the rectangle. 16×16=256. the area of the semicircle. 3.14×8×8=100.48. subtract the semicircle from the rectangle 256_100.48= 155.52mm

Answer:

27.47 square mm

Step-by-step explanation:

Area square = 16x16= 256

           Half square=     255/2=128

Area circle    pi x 64 = 201.06...

semicircle        201.06.../2 = 100.53

                128-100.53 =27.47    

A number x when added to its half, is equal to its third increased by 35.

Answers

Answer:

x=30

Step-by-step explanation:

x = x

half of x  = (1/2) x = "its half"

third of x = (1/3) x = "its third"

"A number x when added to its half" = x + (1/2)x

"its third increased by 35" = (1/3)x + 35

according to the prompt, these two are equal, so

x + (1/2) x = (1/3)x + 35

x = 1x = (2/2)x to match denominators

(2/2)x + (1/2)x = (1/3)x + 35

= (3/2)x

(3/2)x = (1/3)x + 35

subtract (1/3)x from both sides to isolate the variable and its coefficients

(3/2)x - (1/3)x = 35

multiply both sides by 6 as that is the lowest common multiple of both 2 and 3 (2*3 = 6 so 6 is a multiple of both)

9x - 2x = 35*6

7x = 210

divide both sides by 7 to isolate x

x = 30

help!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

8

Step-by-step explanation:

Spencer divided his baseball cards equally among 4 friends. Each friend received 16 cards. To find the number of cards c that Spencer had originally, he solved the equation Ask Your Teacher. How many baseball cards did Spencer originally have?

Answers

Answer:

64 cards

Step-by-step explanation:

16*4 = 64

Answer:

64!!

Step-by-step explanation:

Reason? If spencer devided amongst all of his friends of 4, and they all recieved a total of 16, then you work backwards! 16*4=64! Or, just do the amount they got, 16, and multiply by the number of friends, 4, and you should get the answer!!

Hope this helps! (brainliest please)

How do you tell if a table shows y as a function of x?


like if i have a chart that looks like this:

x: 14 15 16 17 18

y: 100 80 110 100 90

Answers

Answer:

you have to find the common ratio between the y and the x, like what you have to multiply x by to get y

Step-by-step explanation:

like if your table is

x / y

-2. 6

-1. 3

0. 0

1. -3

2. -6

the ratio would be -3

Find the maturity value of a loan of ​$800 after three years. The loan carries a simple interest rate of 9 1/4​% per year.

1.) The maturity of the loan is $___

Answers

Answer: $9

Step-by-step explanation: The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur. The term of the loan is the time for which it has been granted.

pa help guys,
probability distribution ​

Answers

Answer:

14

Step-by-step explanation:

Hope it helps

Brainliest! :)

The length of a rectangle is 1 ft more than twice the width, and the area of the rectangle is 45 ft^2. Find the dimensions of the rectangle.

Answers

Answer:

[tex]\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 10~ \text{ft}[/tex]

Step by step explanation:

[tex]\text{Width} =x\\\\\text{Length}=2x+1\\\\~~~~~~~\text{Area} = 45~\text{ft}^2\\\\\implies x(2x+1) =45\\ \\\implies 2x^2+x = 45\\\\\implies 2x^2 +x-45=0\\\\\implies 2x^2+10x -9x -45 =0\\\\\implies 2x(x+5) -9(x+5)=0\\\\\implies (2x-9)(x+5) =0\\\\\implies x=\dfrac 92, ~~ x\neq -5\\\\\text{Hence,}\\\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 2\cdot \dfrac 92 +1 = 10~ \text{ft}[/tex]

Answer:

Length 10 ft.

Width 4.5 ft.

Step-by-step explanation:

If the width is x ft then the length is 2x + 1 ft.

Area = width * length, so:

45 = x(2x + 1)

45 = 2x^2 + x

2x^2 + x - 45 = 0

2x^2 + 10x - 9x - 45 = 0

2x(x + 5) - 9(x + 5) = 0

(2x - 9)(x + 5) = 0

x = 4.5, -5.

So x = 4.5   ( as the width cannot be negative).

Therefore the dimenions of the rectangle are

width = 4.5 ft, length = 2(4.5) + 1 = 10 ft.

5, 5, 9, 11, 13

Mean:

Median:

Range:

Answers

Answer:

The median is 9

The Range is 13-5=8

The mean is 5+5+9+11+13/5=43/5=8 3/5=8.6

please help I'll mark branliest ​

Answers

The answer is (3,5) further explanation please ask

A perimeter of a square field is 160, what is the area of that field?

Answers

Answer: 1,600 sq units.

Step-by-step explanation: The perimeter of a square field is 160.  When finding the perimeter of a square, all sides are the same, so you're adding four sides that have the same number to make 160.  You can add 40 four times to make 160, so that gives us a hint of what all the square's sides are, which are 40.  To find the area of a square, you need to multiply one side by the other.  All sides of the square are 40, so we'll multiply 40 two times to make 1,600 sq units.  Therefore, 1,600 sq units is your answer.

Have a great day! :)

Luis is proving that the sum of the
measures of the interior angles of a
triangle is 180°. Which statement correctly
completes Luis's proof?

Answers

Answer:

Step-by-step explanation:

4.  m < 1 + m < 4 + m < 5 = 180

ANSWER THE FOLLOWING:​

Answers

Step-by-step explanation:

2. since there are 15 shirt

the probability of her wearing a blue shirt is 5/15

the probability of her wearing a blue shirt is 4/15

Can someone help me do these i don't understand them?

Answers

Answer:

they are extension in computer

$600 invested at 6% compounded annually for six years

Answers

Answer:

The final balance is $851.11.

The total compound interest is $251.11.

Step-by-step explanation:

The diagram represents the factorization of a2+8a+12.

A 2-column table with 2 rows. First column is labeled a with entries a squared, 2 a. Second column is question mark with entries 6 a, 12. First row is labeled a with entries a squared, 6 a. Second row is labeled 2 with entries 2 a, 12.

What is the missing number that will complete the factorization?

6
8
12
24

Answers

Answer:

The answer is 6

Step-by-step explanation:

Answer: 6

Step-by-step explanation: took the quiz

Help picture below problem 20

Answers

Answer:

it's.. parallelogram..

Step-by-step explanation:

mark me brainliest

Answer:

That is a parallelogram.

Step-by-step explanation:

Not a square, not a rectangle, not a trapezoid.

Fit two 1/8 pieces together.What larger fraction pieces do they match?

Answers

Answer: 1/4

Step-by-step explanation: 1/8 plus 1/8 is 2/8. it can be simplified to 1/4

The answer is 1/4 Abcdefg

kirsty and Flo are raising money for charity; Kirsty raises /ive times as much as Fio, Tiesa
amount they raise is £172.50. How much do they each raise?

THANK U

Answers

Answer:

Kirsty raised £143.75 and Flo raised £28.75

Step-by-step explanation:

x = money raised by Flo

5*x = money raised by Kirsty

6*x = money raised together

6x = £172.50

Now divide each side by 6:

x = £172.50:6

x = £28.75 (money raised by Flo)

£172.50-£ 28.75 = £143.75 (money raised by Kirsty)

Kirsty raised £143.75 and Flo raised £28.75

Find the interest on a loan with Principal =
$1000, Rate = 6%, Time = 2 years

Answers

Answer:

changing the currency $ to #

$1000 = #415,640.00

i=prt (formular)

given:

I =?

p = $1000 or #415,640.00

r = 6%

t = 2 years

i= 415,640.00×6×2÷100

i= #49876.8

without changing currency

i= 1000×6×2÷100

i=120

Company A has three times as many customers as company B. Company C has 10 customers more than company B. Let x represent the number of customers held by company B. What is the expression that represents the total number of customers held by all three companies?​

Answers

The expression that represents the total number of customers held by all three companies is 5x + 10

System of equation

Systems of equations are made of several equations with unknown variables.

Let the amount of customers company B has be x

If Company C has 10 customers more than company B, then the total customers for company B is x + 10

If Company A has three times as many customers as company B, the total customers for company A is 3x

Total customers = x + 10 + x + 3x

Take the sum

Total customers = 5x + 10

Hence the expression that represents the total number of customers held by all three companies is 5x + 10

Learn more on system of equation here: https://brainly.com/question/847634

Ver en español
In her free time, Isabelle likes to read. She kept track of the number of pages in each book she read last summer. This box plot shows the results.
Book pages
100
150
200
250
300
350
What fraction of the books had 200 or fewer pages?

Answers

Using the box plot, it is found that 200 is the median, that is 50% of the books had 200 or fewer pages.

What is a box plot?

It is a plot that focuses the interquartile range of the population, that is, it gives:

The first quartile.The median.The third quartile.

In this problem, they are given as follows:

The first quartile is of 175.The median is of 200.The third quartile is of 250.

Hence, 50% of the books had 200 or fewer pages.

More can be learned about box plots at https://brainly.com/question/14277132

At a local grocery store, each apple cost $1.89 and each orange cost $2.59. A total of 35 apples and oranges were purchased for a total of $79.95. Let x= number of apples and y=number of oranges. Write a system of linear equations that model the given information. Solve the system to determine the number of apples and oranges that were purchased.

Answers

x+y=35

1.89x+2.59y=79.95

y=35-x (and now we put this instead of 'y' in the second equation)

1.89x+2.59(35-x)=79.95 (now we solve this equation)

1.89x+90.65-2.59x=79.95

0.7x=10.7

x=15

y=35-15=20

ANSWER:

15 apples

20 oranges

If x - m is a factor of 2x^2 - x - 3, what is the value of m?

Answers

Answer:

The given quadratic expression can be factored as (2x - 3)(x + 1).

So  x + 1 = x - m ⇒ m = -1.

Step-by-step explanation:

Answer:

I hope this helps, you can ask any questions for clarification

BRAINLIEST :D?

Find the length of c. Round your answer to the nearest tenth.

Answers

Answer:

c = 12

Step-by-step explanation:

This is a special triangle, also known as the 30-60-90 triangle. See the help image attached for another special triangle known as the 45-45-90 triangle. 30-60-90 triangle has specific rules that we can apply to this problem:

hypotenuse = 2xline opposite of 30° = xline opposite of 60° = x√3

With that being said....

c = 2x

6 = x

a = x√3

We know that x = 6, so now solve for a & c:

c = 2(6) = 12

a = 6√3

Hope this helps!

Find the area of this triangle

Answers

Answer:

22

Step-by-step explanation:

22 is the area of the given traingle

Bob plans to complete a 375 mile trip in hours. At what rate is he planning to travel?

Answers

Answer: 55 mph

Step-by-step explanation: rate=distance/time=275/5=55 miles per hour

Solve the following equations
|3x-4(x+1)|=2

Answers

Answer:

x = -6          or   x = -2

Step-by-step explanation:

|3x-4(x+1)|=2

Simplify inside the absolute value by distributing

|3x-4x-4|=2

Combine like terms

|-x-4|=2

Now separate into two equations, one positive and one negative

-x-4 = 2   or -x-4 = -2

Add 4 to each side

-x-4+4 = 2+4     or -x-4 = -2+4

-x = 6                  or -x =2

Multiply by -1

x = -6          or   x = -2

Other Questions
Donte bought a computer that was 20% off the regular price $1,080. If an 8% sales tax was added to the cost of the computer, what was the total price donte paid for What is 28xy + 38xy - 6y factored? How have the Spanish and Native American cultures been mixed in the religion of Central America? Give examples of feasts and holy days / holidays? Rituals or practices? what similarities are there between the shona people and the olmecs? Express as single logarithm.1/2 log (x) - 2 log (2y) + 3 log (z) What have you done to prepare for a career in Law Enforcement?I need help for a job application!!!! Please give me a Answer for this! in part two of trifles, which of the following most supports the feminist theme that women suffer abuses within a male-dominated society? The line MN is shown on the grid.Find the equation of the perpendicular bisector of line MN. Pls help ASAP WILL GIVE BRAINLIEST 100POINTS! The lipid layer that forms the foundation of cell membranes is primarily composed of molecules called __________. 6. Which is the BEST estimate of 2.4679+7.4939? A)O5.5B)4 x 5C)6x6D)5x 6 4/Which of the following topics would work best with a natural organization ? A. An analysis of the novel Robinso Crusoe by Daniel DefoeB. An argument that streaming services are better than cable TV C. The steps leading up to a space shuttle launch D. The pros and cons of switching to all-electric vehicies What phrase is repeated in this passage? what idea is emphasized through repetition? Write the area of Mid- Western Development Region in Nepal A set of processes and procedures that transform data into information and knowledge isa.Computer systemb.Business systemc.Database systemd.Knowledge systeme.Information system Whats the answer for this? state 3 commercial uses of oxygen why do you think most most us citizens support the death penalty? Please help ASAP I need an answer now! Ayudaa no le entiendoo.