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Nikolay [14]
3 years ago
5

What is a rule that assigns each value of the independent variable to exactly one value of the dependent variable

Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0

Where is the answers choices

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Robert climbed 775 steps in 12 1/2 minutes. How many steps did he average per minute
Archy [21]
775 steps across 12.5 minutes = 775/12.5 = 62 steps per minute
6 0
3 years ago
Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En
ArbitrLikvidat [17]

Answer:

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, c) x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right), y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right).

Step-by-step explanation:

The equation of the circle is:

x^{2} + (y-1)^{2} = 16

After some algebraic and trigonometric handling:

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = \cos^{2} t + \sin^{2} t

Where:

\frac{x}{4} = \cos t

\frac{y-1}{4} = \sin t

Finally,

x = 4\cdot \cos t

y = 1 + 4\cdot \sin t

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

c) x = 4\cdot \cos t'', y = 1 + 4\cdot \sin t''

Where:

4\cdot \cos t' = 0

1 + 4\cdot \sin t' = 5

The solution is t' = \frac{\pi}{2}

The parametric equations are:

x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right)

y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)

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3 years ago
Determine whether each piece of given information alone is sufficient to prove quadrilateral ABCD is parallelogram. Justify your
denis-greek [22]

Answer:

Yes it is parallelogram because diagonals bisect each other.

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2 years ago
Write the polynomial in standard form. <br> 5z + 2z^3 - z^2 + 3z^4
pochemuha

Answer:

the standard form of this equation will be 3z^4 + 2z^3 - z^2 + 5z

Step-by-step explanation:

as much as I would like to, I'm really not that good at explaining things

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3 years ago
What is the distance between the points (4, 9) and (4, 2)? A) 2 B) 5 C) 7 D) 8
Aneli [31]
The distance between the points are B)5
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3 years ago
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