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
kobusy [5.1K]
3 years ago
7

A parabola has a focus of F(−2,6) and a directrix of x=6. The point P(x,y) represents any point on the parabola, while D(6,y), r

epresents any point on the directrix. What is the equation for this parabola?
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
8 0
Equation of a parabola: (x - h)²<span> = 4p (y - k), where the </span>focus<span> is (h, k + p) and the </span>directrix<span> is y = k - p
in this case, the directric is x=6, so the parabola opens sideways, the equation becomes </span>(y<span> - </span>k)²<span> = 4p (</span>x<span> - </span>h<span>), where the </span>focus is (h<span> + </span>p<span>, </span>k) and the directrix is x<span> = </span>h<span> - </span>p<span>. 
</span>h-p=6
h+p=-2
solve: h=2, p=-4
k=6
plug in the h, p, and k values, so the equation is (y-6)²=-16(x-2)
You might be interested in
Given that ∫51f(x)dx=1,∫53 f(x)dx=3 and ∫61f(x)dx=9 find ∫63 f(x)dx.
ELEN [110]
\displaystyle\int_1^6=\int_1^5+\int_5^6\implies\int_5^6=9-1=8

\displaystyle\int_3^6=\int_3^5+\int_5^6=3+8=11
6 0
3 years ago
5x + 14 = K solve for K
siniylev [52]
 Flip the equation.<span>k=<span><span>5x</span>+<span>14</span></span></span>
3 0
3 years ago
Read 2 more answers
Complex Numbers
seropon [69]

Answer:

±10

Step-by-step explanation:

sqrt(-4) * sqrt(-25).

We know that the sqrt(a) sqrt(b) = sqrt(ab)

sqrt(-4*-25)

sqrt(100)

±10

4 0
3 years ago
Someone please please help<br> me i only have a few minutes left !!!
Juli2301 [7.4K]

Answer:

5 8/15 I rly hope this helps man

8 0
2 years ago
PLEASE HELP I GIVE THANKS
jonny [76]
Corresponding angles are angles that are equal in degrees and in this case it is <8 and <4 but there is also <5 and<7.
7 0
3 years ago
Other questions:
  • If cos x = sin(20 + x) ° and 0°
    12·1 answer
  • 1. (9 ÷ 3)2 + (4 x (12 – 23)) = 2. ((36 – 12) ÷ 6) + (23 – 12) = Answer these questions with explanations
    15·1 answer
  • Has anyone taken the PERT? If so, what was it like? What was the math part like?
    13·1 answer
  • Vitamin D, whether ingested as a dietary supplement or produced naturally when sunlight falls on the skin, is essential for stro
    10·1 answer
  • the graph below shows a proportional relationship between x and y. what is the constant of proportionaliy y/x​
    11·2 answers
  • Suzy makes 20 dollars an hour at her job. Bill only makes 10 dollars an hour but he has a starting bonus of 20. When will Suzy a
    12·1 answer
  • Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)
    13·1 answer
  • What is the sum of mza+ m2b+ m2c?
    6·1 answer
  • Can anyone help on this??
    9·2 answers
  • Solving 3 x plus 8 equals 14
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!