Which equation has a vertex at (0, 5) and focus of (three-halves, 5)?

Answers

Answer 1

The  equation has a vertex at (0, 5) and focus of (three-halves, 5) is,

- 6 x + y²- 10 y + 25 = 0

−6x+y² −10y+25=0

What is a parabola?

In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line.

Given

The equation of a parabola is x = [tex]\frac{1}{4 \left(f - h\right)} \left(y - k\right)^{2} + h[/tex], where (h,k) is the vertex and (f,k) is the focus.

Thus, h = 0 k = 5, f = 3/2

The standard form is x = [tex]\frac{y^{2}}{6} - \frac{5 y}{3} + \frac{25}{6}x[/tex]

The general form is - 6 x + y² - 10 y + 25 = 0

The vertex form is x = [tex]\frac{\left(y - 5\right)^{2}}{6}[/tex]

The directrix is x = d

To find d, use the fact that the distance from the focus to the vertex is the same as the distance from the vertex to the directrix: [tex]0 - \frac{3}{2} = d - 0[/tex]

Thus, the directrix is x = - 3/2

The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = 5

The focal length is the distance between the focus and the vertex: 3/2

The length of the latus rectum is four times the distance between the vertex and the focus: 6.

The eccentricity of a parabola is always 1.

To know more about parabola refer to :

https://brainly.com/question/9201543

#SPJ2


Related Questions

Mrs. Wong planted 3 tulips for every 4 daffodils. Which of the following could be the total number of tulips and daffodils that Mrs. Wong planted?

30 tulips and 44 daffodils

33 tulips and 34 daffodils

34 tulips and 33 daffodils

36 tulips and 48 daffodils

Answers

33 tulips and 34 daffodils

Six more than 7 times a number equals 10 times the number minus 12. What is the number?

Answers

Answer:

6

Step-by-step explanation:

Set up the equation to look like this:

6+7x=10x-12

then solve like normal

Giving brainlest too the right answer

Answers

Answer:

3, 700, 1.05.

Step-by-step explanation:

Answer:

3, 700, 1.05

Step-by-step explanation:

HEY! PLEASE HELP ME WITH THIS MATH QUESTION! THE CORRECT ANSWER SHALL BE MARKED AS BRAINLIEST AND I WILL FOLLOW YOU (you will also get points)

THANKS!!

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Probability (P) is calculated as

P = [tex]\frac{number}{count}[/tex]

Since P(eclair) = [tex]\frac{1}{15}[/tex] and there are 3 eclairs, then original probability before simplification must have been

[tex]\frac{3}{45}[/tex]

meaning the total number of sweets is 45, so

3 + 2x + 6 + x = 45

3x + 9 = 45 ( subtract 9 from both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Then number of humbugs = 2x + 6 = 2(12) + 6 = 24 + 6 = 30

P(humbug) = [tex]\frac{30}{45}[/tex] = [tex]\frac{2}{3}[/tex]

What is the image of the point (3,2)(3,2) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin?

Answers

Answer: = (-2,3)

Step-by-step explanation:

Rotation is a transformation of a figure by rotating it for a specific angle about a fixed point.

Here, fixed point = origin = (0,0)

Transformation rule for rotation of  [tex]90^{\circ}[/tex]counterclockwise about the origin:

[tex](x,y)\to (-y,x)[/tex]

Then, the image of the point (3,2) =  (-2,3)

Hence, the image of the point (3,2) after a rotation of  [tex]90^{\circ}[/tex]counterclockwise about the origin = (-2,3)

Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy

Step-by-step explanation:

what is the answer to 4x+10=26

Answers

the correct answer is x= 4

Answer:

x=4

Step-by-step explanation:

4x+10=26

Subtract 10 from both sides

4x=16

Divide by 4

x=4

28 is equal to how many hundredths

Answers

Answer:

0 because it is in the tens place

Step-by-step explanation:

Help plz I don’t know how do this I’m am so confused I’m this

Answers

Answer: Example for ratio: For every 1 bike there are two wheels

Example for rate: A jet is traveling 460 mph

Step-by-step explanation:

12 años 3 horas y 5 dias cuantos minutos son. respuestas rapido plis

Answers

The answer is 532,980

Answer:

¡Hay 6311385.2 minutos en 12 años, 5 días y 3 horas!

Step-by-step explanation:

Espero que esto te ayude y que tengas un gran día.

4(5x-3)=20x-3 I just need the solution

Answers

Step-by-step explanation:

Don't try to be oversmart The equation is invalid

Find the area of area of a rectangle with with sides 8 + 2x and 3+ x.

Answers

Answer:

Area = 2x^2 + 14x + 24

Step-by-step explanation:

You could set up an expression (2x + 8) * (x + 3), where you multiply 2x by x, 2x by 3, 8 by x, 8 by 3, and then add them all up. 2x * x  = 2x^2, 2x * 3 = 6x, 8 * x = 8x, and 8 * 3 = 24. 2x^2 + 6x + 8x + 24 = 2x^2 + 14x + 24, so that is your answer.

a helicopter hovers at 1000 feet in the air

Answers

Answer:

That’s a good helicopter

Step-by-step explanation:

Solve 3(x + 2) >x
Please ​

Answers

Answer:

x > −3

Step-by-step explanation:

Let's solve your inequality step-by-step.

3(x + 2) > x

Step 1: Simplify both sides of the inequality.

3x + 6 > x

Step 2: Subtract x from both sides.

3x + 6 − x > x − x

2x + 6 > 0

Step 3: Subtract 6 from both sides.

2x + 6 − 6 > 0 − 6

2x > −6

Step 4: Divide both sides by 2.

2x / 2 > −6 / 2

x > −3

Answer:

x > −3

Hope this helps :)

Find the area of the triangle.

17.8 cm
2.8 cm

A.)21.84 cm?
B.)21.2 cm2
C.)10.92 cm
D.)10.6 cm2

Answers

Answer:

10.92

Step-by-step explanation:

-----------------------

The answer to your question is A 21.84cm2

is this a real person ​

Answers

Answer:

who

Step-by-step explanation:

Answer:

yes......

d synch office

yes it is...

OH MY GOD JUST PLEASE SOMEBODY HELP MEEEEE!!! WILL REWARD BRAINLIESTTT

Answers

Answer:

Step-by-step explanation:

answer is B

Answer:

see below :)

Step-by-step explanation:

1. (3x+2)(x+1)

2. (2x+1)(3x+4)

3. (2x-5)(x-3)

4. (3x+1)(2x-3)

5. 2(4x-5)(x+1)

Find X
5x
A) 11
C) 2
B) -1
D) -2

Answers

Answer:

the answer is A

Step-by-step explanation:

5x + 78 + 47= 180

solve for x

x=11

Answer: A) 11

Step-by-step explanation:

there are 180 degrees in a triangle. so, i added 47 and 78 together. that got me 125. i subtracted that from 180, in order to find the remaining angle.

it was 55 degrees, so i divided 55 by 5 in order to see what that was. whatever number that is was going to be x. it turned out to be 11.

hope this helps! xoxo

Evaluate each expression If X equals six 4(x-5)

Answers

Answer:

4

Step-by-step explanation:

Let us plug x in to the equation given that it equals 6.

4(6-5)=

4*1=

4

Hope this helps! :)

a + 3 = 10 what’s the answer

Answers

that’s way to easy for u not to know

Answer:

a=7

Step-by-step explanation:

7+3=10

choose the equation that could be used to solve this problem.

together, kyle and Tyler traveled 425 miles to the beach. If Kyler traveled 240 miles how far did Tyler traveled?

Answers

Answer:

425

Step-by-step explanation:

13% decrease is what

Answers

Answer:

13% decrease =  -13%

Step-by-step explanation:

Hey there

one example can be 70 decreased by 13%

so, first we find 13% of 70:

13% of 70 = 9.1

then we subract:

70 - 9.1 = 60.9

= 60.9

Answer:

Number 10 (8.70) 11 (9.57 12 (10.44) 13 (11.31)

Step-by-step explanation:

(11.31) pretty sure if not correct me

The measure of angle BFG is

Answers

Answer:

76°

Step-by-step explanation:

two parallel lines intersected by a transversal create several types of angle pairs - some of which are equal to each other, and some of which are supplementary

in this problem, ∠BCD ≅ ∠ BFG because they are 'corresponding'

therefore you can create this equation

x + 26 = 2x - 24

26 = x - 24

x = 50

substitute into '2x-24':  2(50) - 24 = 76

Solve the system of linear equations using ELIMINATION. Write your final solution as an ORDERED PAIR.
5x-3y=x1
2x-y=2

Answers

Answer:

The solution to the system of equations becomes:

(x, y) = (7, 12)

Step-by-step explanation:

Given the system of equations

[tex]5x - 3y = -1[/tex]

[tex]2x - y = 2[/tex]

Solving using the Elimination Method

[tex]\begin{bmatrix}5x-3y=-1\\ 2x-y=2\end{bmatrix}[/tex]

Multiply 5x - 3y = - 1 by 2:  10x - 6y = -2

Multiply 2x - y = 2 by 5:  10x - 5y = 10

[tex]\begin{bmatrix}10x-6y=-2\\ 10x-5y=10\end{bmatrix}[/tex]

subtraction operation

[tex]10x-5y=10[/tex]

[tex]-[/tex]

[tex]\underline{10x-6y=-2}[/tex]

[tex]y=12[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}10x-6y=-2\\ y=12\end{bmatrix}[/tex]

Therefore, the value of y = 12

For 10x - 6y = -2 plug in y = 12

10x - 6y = -2

10x - 6(12) = -2

10x - 72 = -2

10x = -2+72

10x = 70

dividing both sides by 10

10x/10 = 70/10

x = 7

Therefore, the value of x = 7

Thus, the solution to the system of equations becomes:

(x, y) = (7, 12)

What is 1 1/2 divided by 2

Answers

Answer:

3/4

Step-by-step explanation:

1 1/2 can be expressed as an improper fraction 3/2

hence

1 1/2 ÷ 2

= 3/2 ÷ 2

= 3/2 x 1/2

= 3/4

What is the length of AD? PLEASE HELP!!!

Answers

AD is equal to 15 do the answer is AD=15

A hockey team sold 1246 raffle tickets in 45 days. About how many raffle tickets per day is that?

Answers

Around 26-27 per day

Please help me with this! I will give 25 points and Brainliest if it is correct!

Which ratio is equivalent to 4:5?

A. 10/15

B. 4/10

C. 16/20

D. 15/ 8

Answers

Answer:16/20

Step-by-step explanation:  

if you divide the two numbers by 4 you have:

16/4=4

20/4=5

(if you divide or multiply both of the numbers with the same number, the ratio will remain the same)

So the two numbers are same

The answer is 16/20 I really hope this helps

A shirt costs $19 you buy it on clearance for 40% off. How much did you pay for the shirt?
Please explain how to find the answer and please answer fast...Thank you
PLEASE HELP

Answers

answer: $11.40

explanation: turn the percent into a decimal, multiply it by the starting cost, then subtract the product from the starting cost

>> 40% = 0.40

0.40 x 19 = 7.60

19 - 7.60 = 11.40

You paid $11.4 for the shirt.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

A shirt costs $19 you buy it on clearance for 40% off.

You paid,

= 19 - (19 x 40 / 100)

= 19 - 7.6

= $11.4

Therefore, the amount is $11.4.

To learn more about the percentage;

brainly.com/question/24159063

#SPJ2

a+b – (a - (a - a)); use a = = -5, and b = -6

Answers

Answer:

 a + b - ( a - ( a-a)) = - 6

Step-by-step explanation:

Explanation:-

Given that a =-5 and b=-6

Given expression

        a + b - ( a - ( a-a))

  =  -5 +(-6)) - ( -5 -(-5-(-5))

  = -5 -6 - (-5 -0)

 =  - 5 - 6 +5

= - 6

Final answer:-

 a + b - ( a - ( a-a)) = - 6

Suppose 30 flour beetles are left undisturbed in a warehouse bin. The beetle populations doubles each week. The function f(x)=30x2^x gives the population after x weeks. How many beetles will there be after 56 days?

Answers

Answer:

240

Step-by-step explanation: 56 / 7 = 8

                                             30 * 8 = 240

Other Questions
Select the correct answer.How did the Supreme Court's ruling in the McCulloch v. Maryland case expand federal powers?A.The federal government no longer had to pay heavy taxes to state governments.B.The federal government did not have to pay any interest on loans from the Second Bank.C.Thefederal government's institutions could not be undermined by any state.D.The federal government imposed heavy taxes on goods transported from one state to another. Identify the relationship described below:Killer whales, also known as orcas, hunt and eat numerous other organisms more than 140 species. However, orcas themselves are not hunted by any other organism. In other words, they are at the top of the food chain. Group of answer choicesMutualismParasitismCommensalismCompetitionPredator-Prey What part of the atom contains the protons and neutrons? Jason spent 5 hours during the weekend practicing his 3 sports and music activities. He spent an equal amount of time each activity. How long did he spend on each activity CAN SOMEONE PLS HELP!Describe how life in cities at the turn of the century differed for wealthy and working class people Find the area of the following shape: What is the IMA of the following pulley system? An electrical generator creates electricity byA) By spinning a turbine with kinetic energyB) By using GasolineC) By exposing a coil of wire to a changing magnetic fieldD) By Aligning the magnetic domains of the coil of wire A student increases the temperature of a 673 cm^3 balloon from 275 K to 460 K.Assuming constant pressure, what should the new volume of the balloon be?Round your answer to one decimal place. Plzz helppppppppplpppppppppp How was early Earth's atmosphere different from today's atmosphere? You borrow $900 from your bank for 3 months. The loan agreement states that you must repay the loan at a rate of $300 per month plus interest. The interest rate for the loan is above the prime interest rate. During the first month the prime rate is during the second month it is and during the third month it is What is the total amount of interest you pay on the loan How many hours is it between 75 W and the Prime Meridian? Which Roman poet was banished by Emperor Augustus? What is the slope of y=0.75x+1 in fraction form Will give brainliest Stan walks 10km west to the grocery store. He shops then walks back 10 km east back to his house. What distance did he cover? What was his displacement? The width of a rectangle measures (5v-10w)centimeters, and its length measures (2v+3w)centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?A) 14w+14vB)10+6w+14vC)14+14vD)7v7 PLZ HELP I WILL GET IN BIG TROUBLEWrite a number using the following clues:a multiple of 4greater than 30 but less than 100 Joey is building a doghouse. He measures the lengths of two sides and the hypotenuse to make sure the boards create a right triangle. Which of the measurements below could be used to create the right triangle? What are suffixes that means filled with