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3 years ago

An equation of a parabola with its vertex at (-3,2) and focus at (-3,-1) written in general equation form

1 answer:

german3 years ago

5 0

we have that
standard form of equation for parabola:
(x-h)^2=-4p(y-k)
(h,k) --------->being the (x,y) coordinates of the vertex.
Parabola opens downwards because focus is below vertex on the axis of symmetry.
For given problem:
vertex: (-3,2)
axis of symmetry: x=-3
p=distance from vertex to focus on the axis of symmetry=2-(-1)=3
4p=12
Directrix: y=2+p=5
Equation:
(x+3)^2=-12(y-2)

the answer is (x+3)^2=-12(y-2)

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slega [8]

Answer:

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Step-by-step explanation:

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3 years ago

Determine whether the sequence converges or diverges. If it converges, give the limit.

vaieri [72.5K]

Answer:

The given series converges and $\lim_{n \to \infty} a_n =0$

Step-by-step explanation:

Given is 108, -18, 3,...

It is an alternate series. An alternate series is convergent if:

1. The series is decreasing.

2. If the last term (n-th term) of series converges to 0.

Since each next term is less than its preceding term, so it is decreasing.

First term, a = 108

Second term = -18

Common ratio, r = -18/108 = -1/6

General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ

When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.

Hence, the given series converges.

Now limit will be: $\lim_{n \to \infty} a_n$

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3 years ago

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Nostrana [21]

The answer is b
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3 years ago

Read 2 more answers

Evaluate g(-4) when g(b) = - 4(12.5b - 2) Can someone help please?

Stolb23 [73]

The answer to your problem is 50b+8

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3 years ago

No work needed, just need answer please.

In-s [12.5K]

Answer:

1 is 27.8%

2 is 41.7%

Step-by-step explanation:

To calculate 1 there is a 10/36 chance (2, 3, 4, 5 out of possible roles of 2 - 12)

To calculate 2 there is a 15/36 chance (2, 3, 5, 7, 11 are prime)

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3 years ago