4. State whether the given values are rational

Mathematics

1 answer:

djyliett [7]1 year ago

4 0

The number given in option a is a rational number.

The number given in option b is an irrational number.

The number given in option c is the same as the number given in option a.

So, the number given in option c is also a rational number.

A rational number is a number that can be written in the form x/y, where x and y are integers and y ≠ 0.

An irrational number is a number that cannot be written in the form x/y, where x and y are integers and y ≠ 0.

The number given in option a is 3.4567.

This number can be written as the ratio of 34567 to 10000. So, it is a rational number.

The number given in option b is 3.4567.....

This number doesn't have definite decimal points and also the numbers aren't repeating. So, this number cannot be written in the form x/y, where x and y are integers.

The number given in option a is a rational number.

The number given in option b is an irrational number.

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Consider the provided information.

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This isn't necessary if you know all the shortcuts, it just makes your life a bit easier.

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Now we want to find the equations for our new lines. It's easiest to do this in slope-intercept form, so let's start finding the slope and y-intercept.

So for the perpendicular line, the slope is going to flip and change signs, this is aka its opposite reciprocal.
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(5, 1), (4, -1), (3, -3), (2, -5), (1, -7), (0, -9).

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Make sure we have common denominators...check.

Multiply by the denominator...

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