Which is the equation of a parabola with vertex (0,0) and directrix y= 4

a. Y^2 = -8x
b. Y^2 = -16x
c. X^2 = -8y
d X^2 = -16y

Answers

Answer 1

Answer:

D. [tex]x^{2} = -16\cdot y[/tex]

Step-by-step explanation:

The vertex form of the equation of the parabola centered in the origin, with axis of symmetry in the x-axis and directrix in the first and second quadrants is described by the following formula:

[tex]4\cdot p \cdot y = x^{2}[/tex], [tex]p < 0[/tex] (1)

Where:

[tex]y[/tex] - Dependent variable.

[tex]x[/tex] - Independent variable.

[tex]p[/tex] - Focus distance.

If we know that vertex is located at (0, 0) and the directrix pass through (4, 0), then the focus distance (distance of the vertex with respect to that point) is -4, and the equation of the parabola is [tex]x^{2} = -16\cdot y[/tex].

Hence, the right choice is D.

Which Is The Equation Of A Parabola With Vertex (0,0) And Directrix Y= 4a. Y^2 = -8xb. Y^2 = -16xc. X^2

Related Questions

Whats the área and circumference of a circle if the radius is 6in?

Answers

Answer:

C≈37.7in

Step-by-step explanation:

Answer:

Hello!

Area: 113.04

Circumference: 37.68

Hope this helps

¿Cuáles son las famosas razones trigonométricas y sus inversas?

Answers

Answer:

Razones trigonométricas inversas: cosecante, secante y cotangente. ... Dado un triángulo rectángulo, definimos la cosecante, la secante y cotangente de un ángulo como las razones inversas del seno, coseno y tangente, respectivamente.

Step-by-step explanation:

espero y te ayude

Combine these radicals
3V2-5V2

Plz help
Will give Brainlyest

Answers

Answer:

b

Step-by-step explanation:

because i said so and because i am tired and tired and tired

Answer:

[tex] - 2 \sqrt{2} [/tex]

Step-by-step explanation:

Subtract 5√2 from 3√2.

[tex] - 2 \sqrt{2} [/tex]

Hence, the answer is Option A. in decimal form the answer will be −2.82842712.

I need help please!!

Answers

It looks like it’s b. Triangle 2

An expression equivalent to (-11b+15)-3(-23b+17)?

Answers

Answer:

58b - 36

Step-by-step explanation:

-11b + 15 + 69b - 51

combine 'like terms' to get:

58b - 36

A swimming pool is in the shape of a right triangle. One leg has a length of 15 feet and the hypotenuse is √325 feet. Estimate the length of the other leg. Round to the nearest integer, if necessary

Answers

Answer:

10 feet

Step-by-step explanation:

a^2+b^2=c^2

15^2+B^2=365

225+b^2=365

b^2=100

b=10

50 pt = ?gal

50 pt = ?pt

PLEASE HELPPPP ‍

Answers

Answer:

50 pints is 6.25 gallons.

What do you mean by the second one?

Step-by-step explanation:

50 ÷ 8 = 6.25

Answer:

50 pints is 6.25 gallons.

50 ÷ 8 = 6.25

Step-by-step explanation:

8. If v2 = u2+2gs, find the value of s when v = 25,
u= 12 and g = 10.

Answers

Answer:

s = 24.05

Step-by-step explanation:

Given

v² = u² + 2gs ← substitute v = 25, u = 12, g = 10

25² = 12² + (2 × 10 × s)

625 = 144 + 20s ( subtract 144 from both sides )

481 = 20s ( divide both sides by 20 )

24.05 = s

A theatre has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on. Write the explicit formula for this problem.

Answers

Answer:

The formula is adding 8 for every row of seats.

Step-by-step explanation:

This is because the relationship between these numbers keep on adding 8 so for instance next row would have 84 seats.

Hope this is what your looking for.

Dylan and his friend Lamar volunteered to bring sandwiches for lunch at a homeless shelter. They bought 8 loaves of bread. Each loaf had 16 slices of bread. The boys used up all the bread to make the sandwiches. They used 2 slices to make each sandwich. How many sandwiches did they make for the shelter?

Thanks For answering!

Answers

Answer:

64 slices

Step-by-step explanation:

The first step to solving this is to find out how many slices of bread there were in total. We know that each loaf of bread had 16 slices, and we know that there were 8 loaves. To get the amount of slices, we multiply the amount of slices in each loaf by the number of loaves there are.

16⋅8=128 slices of bread in total

Now that we know the total number of slices, we need to find how many sandwiches they made. If they used two slices per sandwich, we would divided the total number of bread slices by two.

128÷2=64.

The height of a seat on a Ferris wheel can be modeled as
H (t) = 47 sin (Fot+ 3 + 52, where tis time in seconds and h(t) is
height in feet.
How far off the ground is a seat when it is at the top of the Ferris wheel?
A. 99 feet
B. 94 feet
C. 104 feet
D. 52 feet

Answers

Answer:

Step-by-step explanation:

Its 99

I just took it

Line d is parallel to line c in the figure below.

Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.

Which statements about the figure are true? Select three options.
Vertical angles prove that Angle 2 is congruent to angle 5.
In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
The triangles are similar because corresponding sides are congruent.

Answers

Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.

Vertical angles prove that Angle 3 is congruent to angle 6.

The triangles are similar because alternate interior angles are congruent.

Step-by-step explanation:

could someone please help

Answers

140
The area is lengthX width so (7+7)(5+5) which is just 14 x 10

Answer:

70

Step-by-step explanation:

the formula for a triangle is b (base) x h (height), then ÷2. there are two tringles together to make this shape, their bases are 10 (5+5) and their heights are 7. so if you do the math for the 2 triangles then add them together you get the area for the entire shape.

Hey can yall help me
what's 9+10+2=

Answers

Answer:

21

Step-by-step explanation:

: P

Answer:

21

Step-by-step explanation:

umm that's kindergarten math-

Which equation matches the function shown in the graph?
A. y=2sin(1/2x)+1
B. y=3sin(2x)
C. y=2sin(2x)+1
D. y=3sin(1/2x)

Answers

Answer:

the answer is A. y=2sin(1/2x)+1

Step-by-step explanation:

I input all four functions on desmos (a graphing calculator), and saw that A. y=2sin(1/2x)+1 was similar to the function shown in the graph

The function that matches the graph is y= 2 sin(1/2x) +1.

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

let y = A sin ([tex]\omega[/tex]x + Ф)+  k

T= 4π, w= 2π/T = 1/2

Now, midline= 1/2( max + min)

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

k=1

and, A= 3-1 = 2

So, y= 2 sin(1/2x  + Ф) +1

as, Ф=0

So, y= 2 sin(1/2x) +1

Learn more about graph here:

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What are the solutions to log6(x^2 + 8) = 1 +log6(x)?

X=-2 and x=-4
X=-1 and x = 8
X= 1 and X=-8
X= 2 and x=4

Answers

Answer: x = 4, x = 2


x² + 8 = 6x

Answer:

D. x=2 and x=4

Step-by-step explanation:

Hope this helps!! Have a great day!! ❤

For the equation 3(7 + x) = 3x + k, what value of k will create an equation with no solutions?

Answers

K=21 hope this helps luvvvvv

PLEASE HELP 25 PLUS POINTS!!!THIS IS REALLY IMPORTANT

Answers

Answer: A- 12.5 million

Step-by-step explanation: all you have to do is 125% of 10 million and you get 12.5 million.

Answer:

40 million

Step-by-step explanation:

125% of x

125/100 * x = 1.25x

x+ 10 = 1.25x

(subtract x from both sides)

10 = 1.25x - x

10 = 0.25x

(divide both sides by 0.25)

10/0.25 = x

x= 40

Solve for N

4n=2n+6

Please help

Answers

Answer:

n = 3

Step-by-step explanation:

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

The solution is, n = 3.

What is Subtraction?

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

To learn more on subtraction click:

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An expression is shown below.


What is the value of the expression?

Answers

Answer:

1/12

Step-by-step explanation:

1) covert 1/2 to 3/6 to subtract 2/6 from it. this gets 2/6, which simplifies to 1/3

2) divide 1/3 by 4 which gets 1/12

Need help please urgent. Correct answers only no links.

Answers

Answer:

the exact answer is 314.159265359

Step-by-step explanation:

but it simplifies to 314.16

If f(x) =2x+4 and g(x)=1-x, then which of the following represents y=f(x)+g(x)?

Answers

Answer:

y = x +5

Step-by-step explanation:

2x +4 + 1-x = x +5

hope this helps

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

Answer:

6) -10

7) b

hope this helps :)

I need an answer! NO LINKS! PLS ill give brainlist

Answers

Answer:

c

Step-by-step explanation:

find the area of the pentagon in the diagram below.



15 square inches

20 square inches

25 square inches

28 square inches

Answers

The answer is 28 square inches I think

The area of the pentagon is approximately 15 square inches.

To find the area of the pentagon, we can use the formula for the area of a regular pentagon:

Area = (5/4) * (s²) * (1/tan(π/5)),

where "s" is the length of the side of the pentagon.

Given that the sides of the pentagon are as follows:

Two smallest sides = 2 inches,

Two largest equal sides = 4 inches,

One other equal side = 3 inches.

Since the pentagon is not a regular pentagon, we need to find the area by dividing it into different shapes and then calculating their individual areas.

The pentagon can be divided into three shapes: a rectangle and two triangles.

Rectangle:

The two smallest sides (2 inches) form the length and width of the rectangle.

Area of the rectangle = Length * Width = 2 inches * 2 inches = 4 square inches.

Triangle 1:

The two largest equal sides (4 inches) and one of the 3-inch sides form a triangle.

To calculate the height (h) of the triangle, we can use the Pythagorean theorem, since it is a right triangle.

h² = (4 inches)² - (1.5 inches)², [1.5 inches is half of the 3-inch side]

h² = 16 inches² - 2.25 inches²,

h² = 13.75 inches²,

h ≈ 3.7 inches.

Area of Triangle 1 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.

Triangle 2:

The two largest equal sides (4 inches) and the other 3-inch side form another triangle.

Using the same height (3.7 inches) from Triangle 1:

Area of Triangle 2 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.

Now, to find the area of the pentagon, we add the areas of the rectangle and the two triangles:

Total Area = Area of Rectangle + Area of Triangle 1 + Area of Triangle 2

Total Area = 4 square inches + 5.55 square inches + 5.55 square inches

Total Area ≈ 15.1 square inches.

Therefore, the area of the pentagon is approximately 15.1 square inches.

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Hey can you help me fast!!

Answers

I think it’s 36 square feet

Of the fifth graders in oak elementary, 6/8 are in band. What fraction of the fifth graders are not in band?

Answers

Answer: 2/8
explanation: because 6/8 plus 2/8 = 8/8

Answer:

2/8 of the fifth graders are not in band

Step-by-step explanation:

To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).

No links please
The sum of two numbers is 147. The difference of the two numbers is 25.
What are the two numbers? Show your work.

Answers

86 and 61.

x + y = 147
x - y = 25

I always found second setting that second equation up was hardest. How do I know which one comes first? You just keep them in the same order as the first math equation.

So let’s solve for x in terms of y:
x - y = 25
x = 25 + y

Then substitute that into your first equation:
x + y = 147
(25 + y) + y = 147
2y = 122
y = 61

x = 25 + y = 25 + 61 = 86

A numbered dice has sides labeled 1 to 8. What is the probability of landing on a number greater than 3?

Answers

Answer:

5/8

Step-by-step explanation:

Is 4.53 a real number?
yes or no

Answers

Answer:

yur

Step-by-step explanation:

Answer:

yeah it's a decimal so yes

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