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aleksklad [387]
3 years ago
14

Line segment MN is graphed in the first and second quadrants of a coordinate plane. The segment is translated 2 units up, then r

eflected across the y -axis. Which characteristic of the image is always the same as the original line segment?
Mathematics
1 answer:
Ksju [112]3 years ago
6 0

Answer:

Step-by-step explanation:

Since the line segment is only being translated and reflected it would still maintain its length. This is pretty much the only characteristic that would remain the same as te original line segment. It would not maintain the same x-axis positions for both endpoints of the line segment. This is because when it is translated 2 units up it is only moving on the y-axis and not the x-axis. But when it is reflected over the y-axis the endpoints flip and become the opposite values.

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Answer:

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Step-by-step explanation:

4.2^2 = 17.64

4.5^2 = 20.25

The square root of any number between these values that is not a perfect square will be irrational. This includes the roots of the integers 18, 19, or 20.

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Of course, there are an infinite number of possibilities. It is easy enough to check to see if a rational number is a perfect square. (Its square root will have half as many decimal digits.) For example, √18.9225 is 4.35 (rational), but √18.9226 ≈ 4.350011494... is irrational.

Square roots are not the only irrational numbers. Polynomial roots, trig function values, logarithms, exponential functions are only some of the ways that irrational numbers can be specified, along with multiples or other combinations of irrational numbers such as π or <em>e</em>. These will be irrational simply because they cannot be expressed exactly as the ratio of two integers.

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