Are two lines that lie in parallel planes always parallel?

1 answer:

7 0

Of course not.

-- Take a washable marker, and give your little sister another washable marker.

-- Stand back-to-back in your bedroom, you facing the front wall, and her facing the back wall.

-- When you say 'GO', both of you draw a straight line on the wall.
Then look at the lines.

-- The front and back walls are parallel planes, but it would be
amazing if the two lines are parallel. One could even be a
horizontal line and the other a vertical one . . . definitely not parallel.

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Use the rational root theorem to list all possible rational roots for the equation.

Alik [6]

Answer:

The possible rational roots are

$\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}$

Step-by-step explanation:

We have been given the equation 3x^3+9x-6=0 and we have to list all possible rational roots by rational root theorem.

The factors of constant term are $1, 2, 3,6$

The factors of leading coefficient are $1,3,$

From ration root theorem, the possible roots are the ratio of the factors of the constant term and the factors of the leading coefficient. We include both positive as well as negative, hence we must include plus minus.

$\pm\frac{1,2,3,6}{1,3}\\\\ =\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}$