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Anni [7]
2 years ago
15

The vertex of a parabola is at (-2,-3). When the y-value is -2, the x-value is -5. What is the coefficient of the squared term i

n the parabola's equation?
Mathematics
1 answer:
denis23 [38]2 years ago
4 0

Answer:

y=a(x+2)^{2} -3\\-2=a(-5+2)^{2} -3\\\frac{-2+3}{9} =a\\a=\frac{1}{9} \\

Step-by-step explanation:

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Find the fourth roots of i
antoniya [11.8K]

Answer:

  1∠22.5°, 1∠112.5°, 1∠202.5°, 1∠292.5°

Step-by-step explanation:

A root of a complex number can be found using Euler's identity.

<h3>Application</h3>

For some z = a·e^(ix), the n-th root is ...

  z = (a^(1/n))·e^(i(x/n))

Here, we have z = i, so a = 1 and z = π/2 +2kπ.

Using r∠θ notation, this is ...

  i = 1∠(90° +k·360°)

and

  i^(1/4) = (1^(1/4))∠((90° +k·360°)/4)

  i^(1/4) = 1∠(22.5° +k·90°)

For k = 0 to 3, we have ...

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4 0
1 year ago
A square pyramid has base edge length 6 ft. The slant height of the pyramid is 5 ft. What is the volume of the​ pyramid?
nadya68 [22]

Answer:

V = 60 m3

Step-by-step explanation:

Volume of a square pyramid:

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By the pythagorean theorem we know that

s2 = r2 + h2

since r = a/2

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6 0
3 years ago
4^5*7^10 RAISED TO SINGLE POWER
Westkost [7]
<h3>Answer:   4^15</h3>

Explanation:

The rule used is

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Using the rule, we get

a^b*a^c = a^(b+c)

4^5*4^10 = 4^(5+10)

4^5*4^10 = 4^15

8 0
2 years ago
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Answer:

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Step-by-step explanation:

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