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Alex Ar [27]
3 years ago
5

Rationalize the following​

Mathematics
1 answer:
IRINA_888 [86]3 years ago
6 0

Step-by-step explanation:

\frac{1}{ \sqrt{2} + 1 }

<em>(</em><em>On</em><em> </em><em>Rationalizing</em><em> </em><em>)</em>

=  \frac{1}{ \sqrt{2}  + 1}   \times  \frac{ \sqrt{2}  - 1}{ \sqrt{2} - 1 }

=  \frac{ \sqrt{2} - 1 }{( { \sqrt{2} )}^{2} -  {(1)}^{2}  }

=  \frac{  \sqrt{2}  - 1}{2 - 1}

=   \frac{ \sqrt{2}  - 1}{1}

=  \sqrt{2}  - 1(ans)

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The Beachfront Resort charges its guests
madam [21]

The system of  equations can be used to find the cost of a  night's stay and the cost of a meal is:

2n + 5m = $395

5n + 11m = $959

<h3> Simultaneous equations</h3>

Simultaneous equations are two or more groups of equations. These equations have to be solved together at the same time in order to determined the required valued. The two above equations have to be solved in order to determine the cost of  a  night's stay and the cost of a meal.

The methods of determining the required values are:

  1. Elimination method
  2. Graph method
  3. Substitution method

To learn more about simultaneous equations, please check: brainly.com/question/25875552

5 0
2 years ago
What is the value of x?
anygoal [31]

Answer:

<h2>x = 19</h2>

Step-by-step explanation:

There are the vertical angles. The vertical angles are congruent. Therefore we have the equation:

7x-8=6x+11            <em>add 8 to both sides</em>

7x-8+8=6x+11+8

7x=6x+19           <em>subtract 6x from both sides</em>

7x-6x=6x-6x+19\\\\x=19

4 0
3 years ago
-6/13 - (-7/15)<br> pls solve it for me !!! :)
MAXImum [283]

Answer:

First, make the double negative a positive.

So, (-6/13) + (7/15)

Then multiply the numerator, 6×7=42

And denominator 13×15=195

42/195 simplify by dividing both by 3 so 14/65

8 0
2 years ago
Read 2 more answers
CATIVO
yKpoI14uk [10]

Answer:

La cantidad de dinero adeuda al final de los dos procesos es $1450

Step-by-step explanation:

Los parámetros del proceso son;

La cantidad ahorrada para comprar ropa = $2,000

La cantidad pagada por la ropa = $2600

La cantidad prestada a un amigo = $650

La cantidad adeuda por teléfono celular durante 3 meses = $250

Deje que 'C', represente la suma de las transacciones anteriores, tenemos;

∴ C = 2,000 - 2,600 - 650 - 200 = -1,450

La suma de las transacciones anteriores, C = -$1,450

Por lo tanto, al final de los dos procesos, la cantidad de dinero adeuda es C = $1,450

-

3 0
3 years ago
Help with #5, 6, 7, and 8 <br> pleasee
lesya [120]
5. It is a 5/9 chance he will pick 2 pair of pants. There are 5 pants and 9 in total (clothes and pants)
7. It is a 3/9 chance he will pick 2 items that are black. There are only 3 things that are black and the rest are other colors.
8. It is a 2/9 chance he will pick a pant and a shirt that is white. There is 1 white pants and 1 white shirt.


That is all I know. Number 6 kind of confuses me. Hope I helped!!!
8 0
3 years ago
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