The derivation for the equation of a parabola with a vertex at the origin is started below. = StartRoot (x minus 0) squared + (y minus p) squared EndRoot = StartRoot (x minus x) squared + (y minus (negative p)) squared EndRoot (x)2 + (y – p)2 = (0)2 + (y + p)2 x2 + y2 – 2py + p2 = y2 + 2py + p2 If the equation is further simplified, which equation for a parabola does it become? x2 = 4py x2 = 2y2 + 2p2 y2 = 4px y2 = 4py

Answers

Answer 1

Answer:

x2 = 4py

Step-by-step explanation:


Related Questions

A rectangle has length 8x 104 mm and width 4 x 104 mm. The rectangle's length is how many times
its width?
The rectangle's length is times its width.
(Type a whole number.)

Answers

Answer:

Step-by-step explanation:

It would be 2.

8/4=2

10^(4-4)=10^0 or 1

2*1=2

Here are several recipes for sparkling lemonade. For each recipe
describe how many tablespoons of lemonade mix it takes per cup
of sparkling water,
Recipe 1: 4 tablespoons lemonade mix and 12 cups of sparkling
water
Recipe 2: 4 tablespoons of lemonade mix and 6 cups of sparkling
water
Recipe 3: 3 tablespoons of lemonade mix and 5 cups of sparkling
water
Recipe 4: 1 tablespoon os lemonade mix and 3 cups of sparkling
water

Answers

Answer:

Recipe 1: 1/2tbs of lemonade mix per cup of sparkling water

Recipe 2: 2/3tbs per cup

Recipe 3: 3/5tbs per cup

Recipe 4: 1/3tbs per cup

Step-by-step explanation:

To find the amount of lemonade mix per cup of sparkling water, we just need to divide the amount of lemonade mix in each recipe by its respective amount of sparkling water as this will give us the average amount per cup.

Recipe 1: 4 tbs lemonade mix, 12c sparkling water.

4/12 = 1/3, Recipe 1 requires 1/3 tablespoon per cup of sparkling water.

Recipe 2: 4tbs Lemonade, 6c water

4/6 = 2/3, Recipe 2 requires 2/3 tablespoon per cup of sparkling water.

Recipe 3: 3 tbs lemon, 5c water

Recipe 3 requires 3/5 tablespoon per cup of sparkling water.

Recipe 4: 1 tbs, 3c water

Recipe 4 requires 1/3 tablespoon per cup of sparkling water.

Hope this helped!



A car travels 30.5 miles in of an hour. What is the average speed, în miles per hour
of the car?

Answers

Answer:

rounded to the nearest hundredth its 46.21

Step-by-step explanation:

trust im smart

Find the Distance between points A and B: A (8, 12) B: (2, 4)

Answers

ANSWER-the distance is (6,8)
if you set the equation up from 2-8=6 which is your x value and 4-12=8 is your y value it should also give you your Distance between the two points


What is the sum of the first five prime numbers?
18

26
28
39

Answers

Answer:

The answer is 28

Step-by-step explanation:

the 1st 5 prime no. s are ----- 2,3,5,7,11. now the sum is --- 2+3+5+7+11=28............

Answer: A or 28

Step-by-step explanation:

The first five prime numbers are 2,3,5,7,and 11

If you add all of these up then you will get 28.

HOPE THIS HELPS!!!

is the perimeter 70?

Answers

Answer:

Step-by-step explanation:

AC = 8 + 15 = 23

C to the tangent point of BC = 15 (tangents are equal when they come from the same point.

B to the tangent point of BC  = 12 (same reason).

BC = 15 + 12 = 27

By a similar argument BA = 12 + 8 = 20

So add them together. 20 + 27 + 23 = 70 I think.

You are absolutely right. Or we both are wrong.

What should i do if i like my best friend ? How do u know if they like u back

Answers

Answer: If you like your best friend, you should explain to him/her that you like him/her. If you don’t want to do this, then keep a close eye on them and detect whether they like you back like if they treat you with more kindness than you usually receive.

Step-by-step explanation: Activity: Give them different topics and see if they answer in a way that is different from how they would answer someone else.

John is on vacation and forgot his video camera. He found a camera shop that rents the cameras. They charge a one-time cleaning fee of $45 and the per day rental charge is $23. If his final bill is $229, how many days did John rent the video camera? Write and solve an equation for John's camera rental.

Answers

Given:

One-time cleaning fee = $45

Per day rental charge = $23

Final bill = $229

To find:

The number of days for which John takes video camera on rent.

Solution:

Let the number of days be d.

Rental charge for one day = $23

Rental charge for d days = $23d

Total charges = One-time cleaning fee + Rental charge for d days

[tex]Total=45+23d[/tex]

Final bill is $229. So,

[tex]45+23d=229[/tex]

Subtract 45 from both sides.

[tex]45+23d-45=229-45[/tex]

[tex]23d=184[/tex]

Divide both sides by 23.

[tex]d=\dfrac{184}{23}[/tex]

[tex]d=8[/tex]

Therefore, the required number of days is 8.

7. We learned that in a plane, two lines perpendicular to the same line are parallel. Use the rectangular solid below to explain why the words "in a plane" are needed.

Answers

Answer:

"In a plane" imposes the condition that these 3 lines exist in ONLY 2 dimensions, otherwise, the statement, "Two lines perpendicular to the same line are parallel" is false.

Example 1: lines CE & DF are // & perpendicular to CD. TRUE

Example 2: lines CE & BD are // & perpendicular to CD. FALSE

Step-by-step explanation:

hope this helped :P

The table shows that there were 2,000 bacteria at the beginning of the experiment. What was the size of population of bacteria after 1 hour? After 2, 3 and 4 hours?

Answers

Answer:

they will usually double because of the process of mitosis.

Step-by-step explanation:

How much time will Alex need to walk to his school, which is 2 1/ 4 miles away from his house, if he would walk with the speed of …

3 mph


Please help!!!!

Answers

Answer:

Alex needs to walk for 45 minutes.

Step-by-step explanation:

2.25 / 3 = 0.75 hours

0.75 hours = 45 minutes

Name two pairs of supplementary angels in the figure below please help ASAP

Answers

Answer:

AEC and DEB are two pairs of supplementary angles.

i suck at math and i really need help asap!

Answers

Answer:

2

Step-by-step explanation:

2^{4-3}

=2

Lina and Josh each made a factor tree to find the prime factorization of 126. Lina's Solution Josh's Solution 2 factor trees. Alina's factor tree of 126. 126 branches to 3 and 42. 42 branches to 6 and 7. 6 branches to 2 and 3. The equation is 126 = 2 times 3 squared times 7. Josh's factor tree of 126. 126 branches to 2 and 63. 63 branches to 9 and 7. The equation is 126 = 2 times 7 times 9. Which statement explains the accuracy of the students' work? Lina's solution is correct because it expresses 126 as a product of prime factors. Josh's solution is correct because the factor tree of every even number must begin with 2 and its factor pair. Both solutions are correct because they both express 126 as a product of factors. Neither solution is correct because the factor tree should have begun with 6 and 21.

Answers

Answer:

Lina's solution is correct because it expresses 126 as a product of prime factors.

Step-by-step explanation:

Prime factorization can be defined as a methodology of breaking down an original number down into the set of prime numbers which when multiplied together give us the original number.

Prime factorization makes use of a factor tree

The number we are to carry out prime factorization on is 126

126

/\

3 42

/\

6 7

/\

2 3

The Prime Factorization is:

2 x 3 x 3 x 7

Hence, Lina's factor tree of 126. 126 branches to 3 and 42. 42 branches to 6 and 7. 6 branches to 2 and 3. The equation is 126

= 2 times 3 squared times 7.

Is correct.

Answer:A ..Lina’s solution is correct because it .....

Step-by-step explanation: Her expression express is 126 as a product of prime factors .. Your welcome!!!

Question 5 of 10 If f(x) = 4x - 12, what is f(2)? h O A. -20 O B. 8 O c. -4 O D. 4 SUE​

Answers

Answer:

-4

Step-by-step explanation:

dtermine the slope of the line (9,-8) (3,4)

Answers

Answer:

The answer is -2

Step-by-step explanation:

Please help me out!​

Answers

Answer:

7

Step-by-step explanation:

7+3=10

I'm too lazy to do my math homework

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So since you are too lazy I assume that you already know what to do and you just don't want to do it so I don't think you'll need any explaining right?

X:       -5           -1              0              1

_______________________________

Y:       -32         -8            -2               4

Find the value of x. Then find the measure of each angle.​

Answers

Answer:

1)103

2)103

3)77

Step-by-step explanation:

(first, look at the photo)

x + (x - 26) = 180

2x - 26 = 180

2x = 206

x = 103

2.angle= 103

3.angle = 103 - 26 = 77

hope this helps ^-^

Simplify 2 + 17x - 5x + 9

Answers

Answer:

12x + 11

Step-by-step explanation:

Combine like terms

Answer:

B. 12x + 11 :)

Step-by-step explanation:

Michael is using a number line to evaluate the expression –8 – 3.

A number line going from negative 12 to positive 12. A point is at negative 8.

After locating –8 on the number line, which step could Michael complete to evaluate the expression?
Michael could rewrite the expression as Negative 8 + 3 and move 3 spaces to the right.
Michael could rewrite the expression as Negative 8 + negative 3 and move 3 spaces to the right.
Michael could rewrite the expression as Negative 8 + 3 and move 3 spaces to the left.
Michael could rewrite the expression as Negative 8 + negative 3 and move 3 spaces to the left.

Answers

Answer:

Michael could rewrite the expression as Negative 8 + negative 3 and move 3 spaces to the left

Step-by-step explanation:

Given

Expression

-8 - 3

Solving

-8 - 3 = (-8) + (-3) = - 11

-11 is smaller than -8 and therefore is on the left from -11 by 3 spaces

Correct choice is:

Michael could rewrite the expression as Negative 8 + negative 3 and move 3 spaces to the left

Answer:

Answer is D.

Step-by-step explanation: If you see all the answers, C. has no negative sign included into it, so its not C, and its not A or B because they move to the RIGHT side. Therefore, D is your answer.

Of the 1200 responded to a survey, 456 claimed to be worried about money. What is the likelihood that a person selected at random will not be worried about money?​

Answers

There is a 62% chance that the person will not be worried about money.

Which of the following statements is correct based on the number line below?

Answers

Answer:

c

Step-by-step explanation:

because 4 times 4 is more than 12 and c says in between because..yeah

find the slope of the graphs

Answers

Pretty sure far left is 4/3. Middle is 3/1. Far right is -1/2. Rise over run.

Put in order from least to greatest 12, 8, -9, -12, 10, 16 *​

Answers

Answer:

− 12 , − 9 , 8, 10 , 12 , 16

Step-by-step explanation:

Put the numbers in an ascending order.

You only have nickels and dimes in your piggy account. The total comes to 595 cents. What are the three combinations of nickels and dimes you could have?

Answers

Answer:

59 dimes and 1 nickel

54 dimes and 11 nickels

1 dime and 117 nickels

Step-by-step explanation:

i know this from using the equation [tex]5n+10d=595[/tex] the n is nickels and the d is dimes

What is the solution to the linear equation?
2/5+p=4/5+3/5p

Answers

Answer:

P = 1

Step-by-step explanation:

Because (2)/(5)+p=(4)/(5)+(3)/(5)p

what is y if x is 12 for this slope intercept form equation y=-1/3x-2

Answers

Answer:

-6

Step-by-step explanation:

y=-1/3(12)-2

=(-1/3x12/1)-2

=-4-2

y=-6

Divide the product of 6 and 5 by the quotient of 12 and 4

pls help! what is the expression??

Answers

Answer:

Let variable y be the unknown number. So triple a number means 3y. The difference (use minus symbol) of triple a number and 5 should be written as 3y −5.

Answer:

the product of 6 and 5 is 30. the quotient of 12 and 4 is 3. so, divide 30 by 3. your answer is 10!

Step-by-step explanation:

Have a great day!

4. Parker has saved $1,200 for him and his
wife to go to an all-inclusive island resort.
He decides to take out a $1,000 simple
annual interest loan at 4.5% for 1 year
and stay in a suite. Is Parker being
financially responsible or financially
irresponsible? What is the monetary value
of his benefit or cost?

Answers

Answer:

To be honest i dont even know

Step-by-step explanation:

ummmm

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