24-25 please help I don’t understand what to do

Mathematics

2 answers:

vovikov84 [41]3 years ago

8 0

24. 9+(-6)=-3 is false because the 9 can’t go into the six and the six is by itself so it’s false
25. -10+(-10)=10 is false because you can’t add and multiply a positive number with a negative number, so it’s false

vagabundo [1.1K]3 years ago

5 0

So for 24, 9 is greater than -3 and the answer would be positive 3

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Which choice is equivalent to the fraction below when x is greater than or equal to 2?

miss Akunina [59]

Answer:

D. 2(√{x} + √{x - 2})

Step-by-step explanation:

As hinted in the question, we have to simplify the denominator.

To understand it easier, let's imagine we have x - y in the denominator. If we multiply it with x + y we'll get x² - y², right? Check the next line:

(x - y) (x + y) = x² + xy -xy - y² = x² - y²

If we have the square of those nasty square roots, it will be much simpler to deal with. So, let's multiply the initial fraction using x+y, but with the real values:

$\frac{4}{\sqrt{x} - \sqrt{x - 2} } * \frac{\sqrt{x} + \sqrt{x - 2}}{\sqrt{x} - \sqrt{x - 2}} = \frac{4(\sqrt{x} + \sqrt{x - 2})}{(\sqrt{x} )^{2} - (\sqrt{x - 2} )^{2} }$

Then we simplify:

$\frac{4(\sqrt{x} + \sqrt{x - 2})}{(\sqrt{x} )^{2} - (\sqrt{x - 2} )^{2} } = \frac{4(\sqrt{x} + \sqrt{x - 2})}{(x) - (x - 2) } = \frac{4(\sqrt{x} + \sqrt{x - 2})}{ 2 } = 2(\sqrt{x} + \sqrt{x - 2})$