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Anettt [7]
3 years ago
10

Pic is please please else\

Mathematics
1 answer:
Zanzabum3 years ago
3 0
I can't see the picture clearly sorry I wish I can help…
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The focus of a parabola is (0, -3) and the directrix is y = 3. What is the equation of the parabola?
OleMash [197]

Answer:

The equation of the parabola is y = -12\cdot x^{2}.

Step-by-step explanation:

Since the directrix is of the form y = a, the parabola is vertical. The vertex of the parabola (V(x,y)) is the midpoint between the focus (F(x,y)) and a point of the directrix (P(x,y)), that is to say:

V(x,y) = \frac{1}{2}\cdot F(x,y) + \frac{1}{2}\cdot P(x,y) (1)

If we know that F(x,y) = (0, -3) and P(x,y) = (0, 3), then the coordinates of the vertex of the parabola:

V(x,y) = \frac{1}{2}\cdot (0, -3) + \frac{1}{2}\cdot (0, 3)

V(x,y) = (0, 0)

The vertex factor (p) is the distance of the focus with respect to the vertex:

p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]} (2)

If we know that F(x,y) = (0, -3) and V(x,y) = (0, 0), then the vertex factor is:

p = \sqrt{0^{2}+(-3)^{2}}

p = -3

The equation of the parabola in the vertex form is described below:

y - k = 4\cdot p \cdot (x-h)^{2} (3)

Where:

x - Independent variable.

y - Dependent variable.

h, k - Coordinates of the vertex.

If we know that (h,k) = (0, 0) and p = -3, then the equation of the parabola is y = -12\cdot x^{2}.

6 0
2 years ago
Jacadi is setting up a tent. Each section of a tent pole is
Ghella [55]

Answer:

12 feet

Step-by-step explanation:

  1. know that 4 sections =1 tent pole
  2. 1 yard = 3 feet
  3. multiply the number of sections (4) by their length (3)
  4. 12 feet equal 1 tent pole
  5. (ノ◕ヮ◕)ノ*:・゚✧

8 0
3 years ago
Azul finished his 10-mile run in 65 minutes. Assuming he ran the same pace throughout the entire distance, how long did it take
meriva
6 minutes and 30 seconds for each mile.
6 0
3 years ago
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Using a famous spokesperson to promote a certain product is an example of_
butalik [34]

Answer:

An advertisement.

Step-by-step explanation:

It's called a Celebrity Endorsement but it's a subgroup of an Advert.

6 0
3 years ago
Solve for d.<br> 2d+3=7d+18
algol [13]

Answer: d = -3

Step-by-step explanation:

2d+3=7d+18

-5d=15

d=-3

5 0
2 years ago
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