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Lyrx [107]
4 years ago
10

Graph the equation by plotting three

Mathematics
1 answer:
tangare [24]4 years ago
8 0
Graph the equation in a graphing calculator or in the table in a regular calculator and look for the zero on the x axis and the y axis
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Does a trend line need to pass through all the points in a scatter plot?
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Hi.

The answer is no/false, as long as all the dots in the scatter plot follow the generic pattern of the line, it is fine. The line does not need to touch the dots.

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Svetlanka [38]

Answer:

Option b

Step-by-step explanation:

The equation 4x ^ 2 + 5y ^ 2 = 20 has center in (0,0).

But the transformation T(5, -6) shifts the center of the equation to the point (5, -6).

Therefore, when applying T(5, -6) we will have the following equation translated.

4(x-5) ^ 2 + 5(y - (-6)) ^ 2 = 20.

Simplifying we have:

4(x-5) ^ 2 + 5(y + 6) ^ 2 = 20

Now we expand (x-5) ^ 2 and (y + 6) ^ 2

4(x ^ 2 -10x +25) + 5(y ^ 2 + 12y +36) = 20\\\\4x ^ 2 -40x + 100 + 5y ^ 2 + 60y + 180 = 20\\\\4x ^ 2 + 5y ^ 2 -40x + 60y +260 = 0

The equation of a circle has the form

h(x-a) ^ 2 + q(y-b) ^ 2 = r

For h = 1 and q = 1.

If h \neq 1 and q\neq 1 then the graph becomes an ellipse.

In this problem h = 4 and q = 5 therefore the figure is an ellipse

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Answer: 5/12

Step-by-step explanation:

4 0
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Answer:

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