1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
joja [24]
2 years ago
12

Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line F(-6,0); x=

6

Mathematics
1 answer:
Bogdan [553]2 years ago
3 0

Step-by-step explanation:

Since we have a vertical directrix, the equation of the parabola is

(y - k) {}^{2}  = 4p(x - h)

Where p is the distance from the vertex to the directrix.

or the distance from the vertex to the focus.

Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.

\frac{ - 6 + 6)}{2}  = 0

\frac{0 + 0}{2}  = 0

So our vertex is (0,0).

So our equation become

{y}^{2}  = 4px

The distance from the focus and directrix is 6.

So p=6.

{y}^{2}  = 24x

So p is 6.

Since p is 6,

\frac{ {y}^{2} }{24}  = x

You might be interested in
What is the surface area of a sphere with a radius of 12 units?
aivan3 [116]
D.

kkkkkkkkkkkkkkkkkkkkkk
3 0
3 years ago
Read 2 more answers
The distribution of head circumference for full term newborn female infants is approximately normal with a mean of 33.8 cm and a
enyata [817]

Using the normal distribution, it is found that 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 33.8, \sigma = 1.2

The proportion of full term newborn female infants with a head circumference between 31 cm and 36 cm is the <u>p-value of Z when X = 36 subtracted by the p-value of Z when X = 31</u>, hence:

X = 36:

Z = \frac{X - \mu}{\sigma}

Z = \frac{36 - 33.8}{1.2}

Z = 1.83

Z = 1.83 has a p-value of 0.9664.

X = 31:

Z = \frac{X - \mu}{\sigma}

Z = \frac{31 - 33.8}{1.2}

Z = -2.33

Z = -2.33 has a p-value of 0.0099.

0.9664 - 0.0099 = 0.9565.

0.9565 = 95.65% of full term newborn female infants with a head circumference between 31 cm and 36 cm.

More can be learned about the normal distribution at brainly.com/question/24537145

#SPJ1

4 0
2 years ago
What is the degree of the following polynomial: . 3x3 + 2x - 4
klio [65]

Answer:

3

Step-by-step explanation:

look for the greatest exponent

5 0
3 years ago
The answer choices are 11 1 2.48 6
Fudgin [204]

Answer:

The ball reached its maximum height of (11\ yards) in (1\ second).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6

Now factor out the coefficient of the quadratic term:

h(t)=-5(t^2 -2t) + 6

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6

Now take the balancing term out of the parenthesis:

\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))

Simplify:

h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

(1, 11)

8 0
3 years ago
in an election an amount of votes was share among parties A,B and C in the ratio of 1:2:4. How many votes party B obtained if pa
spayn [35]

1000

Step-by-step explanation:

Let the share of votes obtained by the parties A, B and C be x, 2x and 4x respectively.

According to the given information:

No of votes obtained by C = 1500 + No of votes obtained by A

\therefore 4x = 150. + x \\\\\therefore 4x - x = 1500\\\\\therefore 3x = 1500\\\\\therefore x = \frac{1500}{3} \\\\\therefore x = 500\\\\\because Votes \:obtained\: by \:B = 2x \\\\\therefore Votes \:obtained\: by \:B = 2\times 500\\\\\purple {\bold {\therefore Votes \:obtained\: by \:B = 1000}} \\\\

7 0
3 years ago
Other questions:
  • How to explain your work in division
    8·1 answer
  • 1. If a rectangular prism with a length of 12 feet and a width of 9 feet has a volume of 1836
    12·1 answer
  • Please Helpppppp
    9·1 answer
  • Select the correct answer What is the solution for in the equation? 4+ 5x-7 = 10+ 3x-2 * Y Lee R=###​
    13·1 answer
  • 10<br> TIME REMAINING<br> 50:03<br> What are the like terms in the expression?
    6·1 answer
  • Which number below has the greatest value?<br><br> A. 0.108<br> B. 0.12<br> C. 0.109<br> D. 0.110
    6·1 answer
  • PLEASE HELP WILL MARK BRAINLIEST !!!!!!! 28 pts
    6·2 answers
  • The Burgesses use about 2 gallons of drinking water per day. If each water jug holds 5 gallons , how many jugs of water do they
    6·1 answer
  • If a pizza pie had<br> a diameter of 12<br> inches, what<br> would be its<br> circumference?
    11·2 answers
  • Write an equation of a line whose slope is 10 and y-intercept is 0
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!