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Karo-lina-s [1.5K]
2 years ago
9

Which conic section does the equation below describe? x+2^2=4y-3

Mathematics
1 answer:
Dmitry [639]2 years ago
6 0

Answer: Circle

Step-by-step explanation:

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Find the standard form of the equation of the parabola with the given characteristics. Vertex: (-6, 1); focus: (-6, 0)
GREYUIT [131]

Answer: (x+6)^2=-4(y-1)

Step-by-step explanation:

Given

Vertex of the parabola (-6,1)

Focus of the parabola (-6,0)

As the x coordinate of vertex and focus is same and focus lie below the vertex, therefore the parabola is the type of

(x+6)^2=-4a(y-1)

distance between Vertex and focus is 1 unit

\therefore a=1

Parabola becomes

\Rightarrow (x+6)^2=-4(y-1)

8 0
3 years ago
In the diagram B is the midpoint of a A and C. B is also the midpoint or E and F. C is the midpoint of A and D.
aivan3 [116]

Answer:

AD = 84

Step-by-step explanation:

Since B is the midpoint of AC then AB = BC = 2x - 5

Since C is the midpoint of AD then AC = CD, thus

AB + BC = CD, that is

2x - 5 + 2x - 5 = x + 29

4x - 10 = x + 29 ( subtract x from both sides )

3x - 10 = 29 ( add 10 to both sides )

3x = 39 ( divide both sides by 3 )

x = 13

Hence

AD = AB + BC + CD

     = 2x - 5 + 2x - 5 + x + 29 = 5x + 19, thus

AD = (5 × 13) + 19 = 65 + 19 = 84

6 0
3 years ago
Given the polynomial 5x3−2x2+12, what is the leading coefficient?
elena-s [515]

Answer:

a.2

Step-by-step explanation:

4 0
3 years ago
The graph at the right described the money two clubs are earning from fundraising. In how many weeks will the two clubs have the
pickupchik [31]

Answer:

52 weeks

Step-by-step explanation:

The club starting with $270 (club 1) is increasing their bank balance each week by ...

... $280 -270 = $10

The club starting with $10 (club 2) is increasing their bank balance each week by ...

... $25 -10 = $15

Club 2 is gaining on Club 1 by $15 -10 = $5 each week. So, the initial difference of $270 -10 = $260 will be overcome in ...

... $260/($5/week) = 52 weeks

_____

The same result is shown in the attached graph, which also shows that both clubs' bank balances will be $790 at that time.

7 0
3 years ago
What is 12/16 reduced?
levacccp [35]
3/4
You can divide both of them by 4. 12/4= 3 and 16/4= 4 Youre welcome
3 0
3 years ago
Read 2 more answers
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