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
Work out the size of angle x.
Angelina_Jolie [31]

Answer:

13 degrees.

Step-by-step explanation:

First we calculate the other 2 angles of the triangle of which < x is a part.

The bottom angle = 85 (vertical angles are equal).

The top one  = 180 - 98 = 82. ( corresponding and adjacent angles).

So angle x = 180 - (85 + 82).

= 180 - 167

= 13 degrees.

7 0
3 years ago
Read 2 more answers
Which best describes a force?
mariarad [96]

Answer:

A vector with magnitude and direction

6 0
3 years ago
Solve this equation:<br><br> α ÷ 6 + 4 = 16
Ilia_Sergeevich [38]
\alpha \div 6 + 4=  16\\\\Subtract ~4~on~both~sides\\\\ \alpha \div 6 +4 -4 = 16 -4\\\\ \alpha \div 6 = 16 - 4\\\\ \alpha \div 6 = 12\\\\Multiply~both~sides~by~6\\\\a \div 6\times 6 = 12\times 6\\\\ \alpha = 12\times 6 \\\\ \boxed{\bf{\alpha = 72}}

Your final answer is alpha = 72.
5 0
3 years ago
Read 2 more answers
Really need a definite correct answer on this
cluponka [151]
Third choice is correct hope I helped:3
6 0
3 years ago
Help on geometry please (answer #5)
jekas [21]

it would be a, b, and c because if you look at the question and the answers, 3 of the four answers match the 3 of the 4 coordinates

6 0
3 years ago
Other questions:
  • Blank numbers can be written as a product of blank factors
    7·1 answer
  • The following graph shows a proportional relationship.
    5·1 answer
  • Which equation represents: "Two times an unknown integer, multiplied by the unknown integer minus two times a different unknown
    14·1 answer
  • 2^(x-4) = 4a^(x-6) what is the value of x? ​
    14·1 answer
  • Find the retail price if original cost is $45 and markup 20%
    5·2 answers
  • Will you please help me
    12·2 answers
  • A) A graph is drawn below.<br> Explain how you know that y is<br> not directly proportional to x.
    7·2 answers
  • For which inequality is x = 5
    5·1 answer
  • Find the measure of &lt;A​
    9·1 answer
  • WILL MARK BRAINLIST. The dot plot below shows 4 data points with a mean of 6. A dot plot going from 1 to 10. 1 dot is above 2, 6
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!