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OverLord2011 [107]
3 years ago
15

Help quick please ! 10 points​

Mathematics
1 answer:
stepan [7]3 years ago
4 0

Answer:

A, (Hope that was correct)

Step-by-step explanation:

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Write the equation of the conic section below.
tangare [24]

Answer:

(x-3)^2=8(y+1)

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry:

(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0

\textsf{Vertex}=(h, k)

\textsf{Focus}=(h,k+p)

\textsf{Directrix}:y=(k-p)

\textsf{Axis of symmetry}:h=k

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

From inspection of the graph:

  • Vertex = (3, -1)
  • Directrix = y = -3

Therefore:

  • h = 3
  • k = -1
  • k - p = -3

Use the Directrix equation to find p

⇒ y = (k - p)

⇒ -3 = -1 - p

⇒ p = 2

Therefore the equation of the conic section is:

\implies (x-3)^2=4\cdot 2(y-(-1))

\implies (x-3)^2=8(y+1)

Rearranging in standard form ax^2+bx+c:

\implies (x-3)^2=8y+8

\implies x^2-6x+9-8=8y

\implies x^2-6x+1=8y

\implies y=\dfrac{1}{8}x^2-\dfrac{3}{4}x+\dfrac{1}{8}

7 0
3 years ago
(4z³ – 5z + 2)6z product​
Colt1911 [192]

Answer:

24z^4-30z^2+12z

Step-by-step explanation:

hope this helps :)

6 0
4 years ago
Which of the following is the most accurate definition of a function? Please help
damaskus [11]
I believe its b hope this helped

4 0
3 years ago
Read 2 more answers
I really need some help!
jarptica [38.1K]

Answer:

84 in.

Step-by-step explanation:

6*6=36/2=18

6*11=66

18+66=84

7 0
3 years ago
Find two numbers, if their sum is −11 and their difference is 41
snow_tiger [21]

The larger one is (-11 + 41)/2 = 15.

The smaller one is (-11 -41)/2 = -26.

_____

For two numbers a and b with sum s and difference d, you can write the equations

a+b=s\\a-b=d

Then adding the equations and dividing that sum by 2, you get

(a+b)+(a-b)=(s)+(d)\\2a=s+d\\a=\dfrac{s+d}{2}

You can subtract the second eqution from the first and get a similar result for the smaller number

(a+b)-(a-b)=(s)-(d)\\2b=s-d\\b=\dfrac{s-d}{2}

These are the formulas we used above.

3 0
4 years ago
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