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nignag [31]
4 years ago
7

Simplify (2 (radical 5) - 4) (3 (radical 5) +2)

Mathematics
1 answer:
dem82 [27]4 years ago
6 0
(2 \sqrt{5}-4 )(3 \sqrt{5}+2 )=\\2*3*5+2*2* \sqrt{5} -4*3* \sqrt{5}-4*2= \\ 30+4 \sqrt{5}-12 \sqrt{5}-8= \\ 22-8 \sqrt{5}
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Help please! I already tried doing this but I didn't get the answer right, and I don't know where I went wrong
Sladkaya [172]

I think factorizing everything you can first will make the simplification ... well, simpler.

\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \dfrac{x(x-3)}{(x+4)(x+9)} \div \dfrac{x(x+7)}{(x+7)(x+9)}

The factors of x+7 in the second rational expression cancel:

\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \dfrac{x(x-3)}{(x+4)(x+9)} \div \dfrac{x}{x+9}

Now, use the property

\dfrac ab \div \dfrac cd = \dfrac ab \times \dfrac dc

(this is the property of multiplication having to do with multiplicative inverse, or "inverting the divisor" as the question calls it) to write

\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \dfrac{x(x-3)}{(x+4)(x+9)} \times \dfrac{x+9}x

and we see some more cancellation, namely of the factors of x and x+9.

\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \boxed{\dfrac{x-3}{x+4}}

6 0
2 years ago
What is 3,936.58 rounded to the nearest 1,000
sukhopar [10]

Answer:

936.58

Step-by-step explanation:

6 0
3 years ago
PLEASEEE HELPPPPP
castortr0y [4]

Answer:

47 degrees

Step-by-step explanation:

Similar just means they may be different sizes but have the same angle measure. That means the angles will be identical in both triangles A and B.

All angles must add up to 180 degrees. We already have two angles, so we just need to find the last one. 90+43= 133.

180-133=47.

6 0
3 years ago
What is the value of 3.2n when n=5
Lady bird [3.3K]
3.2n=3.2*5

3.2*5=16 the answer is 16

Hope this helps, have a great day!! 

:)
7 0
3 years ago
1.63 repeating as an impropper fraction<br> (63) is the repeating part
RoseWind [281]

You have 1.63636363636...

0.63636363636... is the repeating part. The first term of 0.63636363636... is 0.63, and the common ratio is 1/100.

a

Thus, the sum of the terms of this series is ----------

1 - r

which in this problem comes to:

0.63 63/100

------------------ = ---------------- = 63/99 = 7/11

1 - 1/100 99/100

And so, 1.63333333 ... = 1 + 7/11 or 18/11

3 0
3 years ago
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