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
olya-2409 [2.1K]
3 years ago
12

Find an equation of the parabola with focus (2, −3) and directrix y = 1.

Mathematics
1 answer:
Likurg_2 [28]3 years ago
5 0

Answer:

Step-by-step explanation:

The correct option is option (C).

The required equation of the parabola is

Step-by-step explanation:

Formula:

The distance of a point (x₁,y₁) from a line ax+by+c=0 is

.

The distance between two points (x₁,y₁) and (x₂,y₂) is

Given that, the focus of the parabola is (2,3) and directrix y= - 1.

We know that, a parabola is the locus of points that equidistant from the directrix and the focus.

Let any point on the parabola be  P(x,y)  .

The distance of P from the directrix is

           

=y+1

The distance of the point P from the focus (2,3) is

According to the problem,

 

The required equation of the parabola is

You might be interested in
Can someone solve this plz
galina1969 [7]
-1+-6=-7

The small line shows the number -1 going back one. The bigger line shows a continuation from the smaller line “stopping” at -7.
7 0
3 years ago
Five cards are randomly selected without replacement from a standard deck of 52 playing cards. what is the probability of gettin
EastWind [94]
Ok so it is a standard deck of 52 cards. Theres 4 suites: Hearts, Spades, Clubs and Diamonds.
In each suite there is 13 cards: Ace, King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, and 2. The probability of you choosing 5 hearts is most likely to be 5/52.
3 0
3 years ago
Jim and Jackie are married with three children at home and a mortgage. Jim’s net pay per year is $67,000 and Jackie does not hav
Darya [45]
The answer is A. they should work on their plan for managing income. 
4 0
3 years ago
Read 2 more answers
Find the height h of the cone. Round your answer to the nearest tenth.
denis-greek [22]

Answer:

around 36 in (round 35.98 to nearest tenth)

Step-by-step explanation:

6 0
2 years ago
You have a Rectangle with sides of 5ft and 8ft; solve for its perimeter and area.
Nezavi [6.7K]

Answer:

Perimeter = 2(l+w) = 2*(5+8) = 26ft

Area = wl = 8*5 = 40

Step-by-step explanation:

pretty sure :)

6 0
2 years ago
Other questions:
  • The Yu family and the Sainz family went on vacation together and each family leased a car. The leasing company charged a flat re
    7·1 answer
  • The difference of two numbers is 8. When twice the first number is added to three times the second number, the result is 51. Wha
    15·1 answer
  • In the diagram, AB:BC is 3:4 and AC:42 Find BC
    7·1 answer
  • Let f(x) = x2 + 6 and g(x)= x+8/x . Find ( g o f)(­ -7)
    15·1 answer
  • LAST Q PLZZ HELP FASTTT
    12·1 answer
  • Use the quadratic formula to solve x^2+20=2x what are values of x
    7·1 answer
  • 16.9 is what percent of 22.9? Round to the nearest percent.
    11·2 answers
  • 29. You drop a handball from a height of 1 meter. Each curved path has 64% of
    11·1 answer
  • Could anyone help with this tyy!
    6·1 answer
  • Diego made a scale drawing of a community college. A building at the college, which is 35 meters wide in real life, is 7 centime
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!