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docker41 [41]
3 years ago
6

Can someone help me please

Mathematics
1 answer:
STatiana [176]3 years ago
7 0
A is the correct answer
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Multiply 3/sqrt17- sqrt2 by which fraction will produce an equivalent fraction with rational denominator
zzz [600]

Answer:

B.

Step-by-step explanation:

To simplify something that looks like \frac{\text{whatever}}{\sqrt{a}-\sqrt{b}} you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:

\sqrt{a}+\sqrt{b}.

If you had  \frac{\text{whatever}}{\sqrt{a}+\sqrt{b}}, then you would multiply top and bottom the conjugate of \sqrt{a}+\sqrt{b} which is \sqrt{a}-\sqrt{b}.

The conjugate of a+b is a-b.

These have a term for it because when you multiply them something special happens.  The middle terms cancel so you only have to really multiply the first terms and the last terms.

Let's see:

(a+b)(a-b)

I'm going to use foil:

First:  a(a)=a^2

Outer: a(-b)=-ab

Inner:  b(a)=ab

Last:    b(-b)=-b^2

--------------------------Adding.

a^2-b^2

See -ab+ab canceled so all you had to do was the "first" and "last" of foil.

This would get rid of square roots if a and b had them because they are being squared.

Anyways the conjugate of \sqrt{17}-\sqrt{2} is

\sqrt{17}+\sqrt{2}.

This is the thing we are multiplying and top and bottom.

3 0
3 years ago
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What is 8.3 times 1 plz
alekssr [168]
8.3 : anything multiplied by one is itself
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3 years ago
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How to solve the first problem need urgently
soldi70 [24.7K]
1000²=313²+x²
cosΘ=\frac{x}{1000}

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3 years ago
Sven has $1 and a dime in his pile. Dayna has 11 dimes in her pile. If Sven gives Dayna $1 and Dayna gives Sven 10 dimes, will t
viva [34]

Answer:

Yes

Step-by-step explanation:

Because a dollar and a dime and 11 dimes are equal in value ($1.10)

And they exchange 1 dollar and 10 dimes which is also the same amount. So they will be the same.

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2 years ago
How to write 1/4 as a decimal
Gnom [1K]

Answer:

0.25

Step-by-step explanation:

As a decimal, 0.25

As a fraction, 1/4

As a percentage, 25%

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3 years ago
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