The sum of two rational numbers will always be?

1 answer:

lisabon 2012 [21]3 years ago

4 0

The sum of two rational numbers will always be rational. A rational number is a number that can be expressed in the form a/b with b ≠ 0. So, if we can prove that the sum of two rational numbers has a denominator, we have proven this statement. Since any rational number can be written as a/b, we can write sum of two rational numbers as a/b + c/d. We can make this ad+bc/bd. Since we proved that the sum of two rational numbers has a denominator, we also prove that their sum is rational.

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SVEN [57.7K]

It’s D
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3 years ago

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Simplify the following rational expression and express in expanded form.

VladimirAG [237]

Answer:

D m = $-\frac{3}{8}$

Step-by-step explanation:

factor the expressions in the denominator and the numerator to simplify the expression:

=> $\frac{2(-2m + 1)(2m - 1)}{2(2m - 1)(8m + 3)}$

=> $-\frac{2m + 1}{8m + 3}$

to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:

=> $-\frac{2m + 1}{8(-\frac{3}{8} ) + 3}$ = $-\frac{2m + 1}{-3 + 3}$ = $-\frac{2m + 1}{0}$

in this case, the values of m from option D make the denominator of the fraction equals 0.

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3 years ago

If two distinct planes intersect , then their intersection is a line . Which geometry term does the statement represent

Rom4ik [11]

Answer:

POSTULATE

Step-by-step explanation:

A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven

In geometry, the theorem is considered valid or correct with which its assertion is practically not refuted by almost anyone, whether it is really true or not.

This, in practice, implies that all students of the subject share the same criteria on the theory. Thus, the postulates, in short, have the following characteristics:

They are presumed true by most of the scholars in the field.

Its contradiction goes against the very essence of the subject.

Postulate 6: If two planes intersect, then their intersection is a line.

See Attachment for Details ^^

The image attached represents the statement given in the question (If two distinct planes intersect, then their intersection is a line)

Therefore,

The Geometry term that represents the statement above is POSTULATE