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
ohaa [14]
1 year ago
5

A parabola can be represented by the equation y2 = 12x. which equation represents the directrix?

Mathematics
1 answer:
Gelneren [198K]1 year ago
7 0

The equation of the directrix is x = -3

<h3>What is Parabola?</h3>

A mirror-symmetrical, roughly U-shaped plane curve known as a parabola. It corresponds to a number of mathematical models that appear to be superficially dissimilar but yet all define the exact same curves. A point and a line are one way to describe a parabola.

<h3>According to the given information: </h3>

Given the general equation of a parabola expressed as

(y-y0)² = 4a(x-x0) ... 1

Equation of the directrix will be expressed as x = x0 - a

From the equation given;

y² = 12x ... 2

Comparing 1 and 2;

x - x0 = x

-x0 = x - x

-x0 = 0

x0 = 0

Similarly;

y-y0 = y

-y0 = y - y

-y0 = 0

y0 = 0

Also;

4a = 12

a = 12/4

a = 3

Substituting x0 =0, y0 = 0 and a = 3 into the equation of the directrix above, we will have;

x = x0 - a

x = 0 - 3

x = -3

Hence,

the equation of the directrix is x = -3

To know more about Parabola visit:

brainly.com/question/21685473

#SPJ4

You might be interested in
Find the missing side or angle. Round to the nearest tenth. C=53° B= 80° a=2 b=[ ? ]​
Degger [83]

9514 1404 393

Answer:

  b ≈ 2.7

Step-by-step explanation:

The missing angle A is ...

  A = 180° -53° -80° = 47°

The law of sines tells you ...

  b/sin(B) = a/sin(A)

  b = sin(80°)×2/sin(47°) ≈ 2.6931

Side b is about 2.7 units.

5 0
3 years ago
Read 2 more answers
Melissa said that each member of her group completed 5/12 foot of a tower for a garden display. There were 3 members in her grou
Setler [38]
A) 5/12×3=1 1/4 I know this for sure
4 0
3 years ago
Read 2 more answers
Which is the graph of f(x)=3/2(1/3)x^
Eddi Din [679]

Answer:

havent got tought this yet sorry wish i can help

5 0
2 years ago
Let A= {a,b,c,d,e} and let B= {1,2,3,4,5} determine n(AxB)
777dan777 [17]

n(AxB) = 25

Step-by-step explanation:

AxB in sets is called Cartesian product. And is defined as a set of ordered pairs (a,b) where a belongs to A and b belongs to B.

Given

A = {a,b,c,d,e}

B = {1,2,3,4,5}

The number of elements for Cartesian product of two sets is determined by:

n(AxB) = n(A) * n(B)

Here

n(A) = 5\\n(B) = 5

So,

n(AxB) = 5*5 = 25

Hence,

n(AxB) = 25

Keywords: Sets, Cartesian Product

Learn more about sets at:

  • brainly.com/question/5102020
  • brainly.com/question/5147732

#LearnwithBrainly

7 0
3 years ago
Ramone tossed 1 quarter, 2 dimes, and 13 pennies in the wishing well at the party. What is the total amount of money as a fracti
ankoles [38]
For this case we have:
 1 quarter:
 (1) * (0.25) = 0.25 $
 2 dimes:
 (2) * (0.1) = 0.2 $
 13 pennies:
 (13) * (0.01) = 0.13 $
 Adding we have:
 0.25 + 0.2 + 0.13 = 0.58 $
 As a fraction:
 58/10 = 29/5 $
 Answer:
 The total amount of money as a fraction and as a decimal are:
 $ 29/5
 
$ 0.58
8 0
3 years ago
Other questions:
  • Kathmandu lies at high altitude than Biratnagar from sea level Where does an object have more weight between two places?Give rea
    9·1 answer
  • Evaluate the function at the fiven values of the variables:
    8·1 answer
  • NEED HELP ASAP I will give you Brainly
    10·1 answer
  • All math wizards plz help meh
    13·2 answers
  • Write a short statement that expresses a possible relationship between the variables. Gas mileage of car, cost of driving 500 mi
    13·1 answer
  • Please jawab kakak ​
    11·1 answer
  • Samantha invested $40,500 at 6% to be compounded annually. What will be the value of Samantha's investment in 3 years? Round you
    11·1 answer
  • The number of ducks swimming In a lake decreased by 1/4 between last year and this year. last year there were 60 ducks in the la
    12·1 answer
  • WILL GIVE BRAINLIEST
    15·1 answer
  • The coordinates of point T are ​(14​,​21). The midpoint of is ​(7​,​-8). Find the coordinates of point S.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!