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]
1 year 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]1 year 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 are some advantages of different ways to solve an equation?
german

Answer:

Step-by-step explanation:

Use math-way go quick and easy answers without step by step explanations, and use math-soup-calculator for step by step explanation

7 0
3 years ago
Read 2 more answers
Calculate the area of a circle whose diameter is 7cm.​
Tema [17]

Answer:

49π (or ~154) cm²

Step-by-step explanation:

A = area

A = πr²

r = radius

r = 7

A = π(7)²

= 49π

= 153.938040026 → 154 cm²

4 0
2 years ago
What is the measure of XYZ?
ASHA 777 [7]

Answer:

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. it measured 50 centimeters tall and 90 cen
slavikrds [6]
Y=-2/81x^2+50 is the answer 
7 0
3 years ago
Read 2 more answers
Please teach ne how to solve
Fofino [41]
To find the area you do A=bh(basexheight) 12x8=96
7 0
2 years ago
Other questions:
  • The answer to question number 2
    11·1 answer
  • The product of 25 and an unknown number is subtracted from 36. The result is -114.
    9·1 answer
  • ABC is not an acute triangle what is the first step of indirectly proving this statement
    6·1 answer
  • i'd really appreciate it if you guys would stop giving me answers with no explanation. because when i get answers like that, the
    14·1 answer
  • Which of the following systems of measurement is based on powers of 10?
    7·1 answer
  • Please help this is due ASAP
    15·1 answer
  • Complete the double number to line show percentages of $50. Fill in the blanks below to match the order of the number line and i
    15·1 answer
  • Write the following expression using symbolic language.
    14·1 answer
  • 2.
    15·1 answer
  • một máy bay đang bay ở độ cao 1700m.Từ đài quan sát người ta nhìn thấy máy bay dưới 1 góc 25° so với mặt đất.Tính khoảng cách từ
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!