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Vilka [71]
3 years ago
10

Find the standard form of the equation of the parabola with vertex at the origin focus (-2,0)

Mathematics
1 answer:
svp [43]3 years ago
7 0
Vertex = (0, 0)
focus = (-2, 0)
p = -2 - 0 = -2
Required equation is (y - k)^2 = 4p(x - h); where (h, k) = (0, 0), the vertex
(y - 0)^2 = 4(-2)(x - 0)
y^2 = -8x

Required equation in standard form is x = -1/8 y^2
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How many different strings of length 12 containing exactly five a's can be chosen over the following alphabets? (a) The alphabet
N76 [4]

Answer:

Part (A) The required ways are 792.

Part (B) The required ways are 101376.

Step-by-step explanation:

Consider the provided information.

Part (A) The alphabet {a, b}

The length of strings is 12 that containing exactly five a's.

The number of ways are: \frac{12!}{5!7!}

After filling "a" we have now 7 places.

For 7 places we have "a" and "b" alphabet but we already select a's so now the remaining place have to fill by "b" only.

Thus, the required ways are: \frac{12!}{5!7!}\times 1=792

Part (B) The alphabet {a, b, c}

We have selected five a's now we have now 7 places.

For 7 places we have "b" and "c".

Thus, there are 2 choices for each 7 place that is 2^7

Therefore the total number of ways are: 792\times 2^7=101376

Thus, the required ways are 101376.

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3 years ago
One Play Station plus $100 is the same as $500. Find the<br> Play Station cost.
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Answer: $400

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