Which equation correctly applies the distributive property?

Mathematics

2 answers:

yuradex [85]4 years ago

8 0

−3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08) correctly applies the distributive property

Hatshy [7]4 years ago

5 0

The last equation correctly applies the distributive property

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3 years ago

To rationalize the denominator of 2/square 13+ squared 11 , you should multiply the expression by which fraction?

eimsori [14]

Answer:

You should multiply the expression by $\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}$

Explanation:

To rationalize any expression, you must multiply it by its conjugate. A conjugate is defined as a similar expression to the original one but with an opposite sign

This means that:

The conjugate of a + b would be a - b

Now, the given expression is $\frac{2}{\sqrt{13}+\sqrt{11}}$

Consider the denominator:

From the above, we can conclude that the conjugate of $\sqrt{13}+\sqrt{11}$ is $\sqrt{13}-\sqrt{11}$

And, remember that we need to keep the value of the expression unchanged. This means that we must multiply both the numerator and the denominator by the same value

Therefore:

You should multiply the expression by $\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}$ in order to rationalize the denominator

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3 years ago

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I = 4500 × 0.05 × 3
I = $ 675.00

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3 years ago

Which is the correct solution to ‐3x<21?