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Lady_Fox [76]
3 years ago
10

Use slopes and y-intercepts to determine if the lines x=−7 and x=5 are parallel.

Mathematics
1 answer:
densk [106]3 years ago
8 0

Answer:

Yes.

Step-by-step explanation:

Both lines are vertical lines and are therefore undefined. However, they are both parallel. Please mare as brainliest.

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elixir [45]
Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30)  The x-intercepts or zeros are at (-30,0) and (30,0)

The equation of such parabola would be:
y = a(x+30)(x-30)
Plug in vertex to find value of 'a'
-30 = a(0+30)(0-30) \\  \\ a = \frac{-30}{(-30)(30)} = \frac{1}{30}

Now find the focus given that p = \frac{1}{4a}
p = \frac{1}{4(1/30)} = \frac{30}{4} = 7.5

Answer: the microphone should be placed 7.5 inches from vertex.
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4 years ago
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allsm [11]

Answer:

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Step-by-step explanation:

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3 years ago
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A robot can complete up to 8 tasks in 5/6 hour. each task takes the same amount of time.
storchak [24]

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\bf \begin{array}{ccll} tasks&hours\\ \cline{1-2}&\\ 8&\frac{5}{6}\\\\ t&1 \end{array}\implies \cfrac{8}{t}=\cfrac{~~\frac{5}{6}~~}{1}\implies \cfrac{8}{t}=\cfrac{5}{6}\implies 48=5t \\\\\\ \cfrac{48}{5}=t\implies 9\frac{3}{5}=t

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3 years ago
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siniylev [52]
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4 0
3 years ago
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k0ka [10]

Answer:

5

Step-by-step explanation:

The mean is the average so add up all values of the data points and divide by the amount of data points.

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