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vladimir1956 [14]
3 years ago
5

The green slope is 1/4 what is the red line. both lines are parallel

Mathematics
1 answer:
andreev551 [17]3 years ago
5 0
Paralel lines have same slope

if green line is paralell to red line
and the slope of the green line is 1/4
slope of red line is 1/4 also
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The vertex of a parabola is (0,0)and the focus is (1/8, 0) . What is the equation of the parabola?
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The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².

<h3>How to derive the equation of the parabola from the locations of the vertex and focus</h3>

Herein we have the case of a parabola whose axis of symmetry is parallel to the x-axis. The <em>standard</em> form of the equation of this parabola is shown below:

(x - h) = [1 / (4 · p)] · (y - k)²     (1)

Where:

  • (h, k) - Coordinates of the vertex.
  • p - Distance from the vertex to the focus.

The distance from the vertex to the focus is 1 / 8. If we know that the location of the vertex is (0, 0), then the <em>standard</em> form of the equation of the parabola is:

x = 2 · y²     (1)

The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².

To learn more on parabolae: brainly.com/question/4074088

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There are 60 minutes in an hour. The total number of minutes is a function of the number of hours, as shown in the table. Does t
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Answer:

Step-by-step explanation:

It represents a linear function because there is a constant rate of change.

Step-by-step explanation:

Since, if the rate of change for y ( output value ) with respect to x ( input value ) remains constant for a function then it is called linear function.

Here, number of hours represents input value and minutes represents the output value,

Now, By the given table,

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Solution:

we are given that

A six sided number cube has faces with the numbers 1 through 6 marked on them.

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P(E)= \frac{1}{6}

Hence the required probability is 1/6.

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3 years ago
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