A word that describes a noun is a _____. modifier verb pronoun all of the above

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Novay_Z [31]

Answer: $3+\sqrt{2}$

Step-by-step explanation:

Given the following expression shown in the picture:

$\frac{7}{3-\sqrt{2} }$

You need to use a process called "Ratinalization".

By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.

Then, in order to simplify the expression, you can follow the following steps:

Step 1. You need to multiply the numerator and the denominator of the fraction by $3+\sqrt{2}$ , which is the conjugate of the denominator $3-\sqrt{2}$ .

Step 2. Then you must apply the Distributive property in the numerator.

Step 3. You must apply the following property in the denominator: $(a+b)(a-b) = a^2 - b^2$

Therefore, applying the procedure shown above, you get:

$=\frac{(7)(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}=\frac{21+7\sqrt{2}}{3^2-(\sqrt{2})^2}=\frac{21+7\sqrt{2}}{9-2}=\frac{21+7\sqrt{2}}{7}$

Step 4. You can observe that the expression can be simplified even more. Since:

$\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}$

You get:

$\frac{21+7\sqrt{2}}{7}=\frac{21}{7}+\frac{7\sqrt{2}}{7}=3+\sqrt{2}$

3 0

3 years ago

How would you solve this problem.

Jet001 [13]

We can find h by calculating the area S of the parallelogram in two ways. We can write: $S=18\cdot10$ . On the other hand, $S=12\cdot h$ . Then:

$18\cdot10=12\cdot h\\\\ 12h=180\\\\h=\dfrac{180}{12}\\\\\boxed{h=15}$

7 0

3 years ago

Solve the system by substitution. y = 4x + 22 y = -7x

Lesechka [4]

Answer:

x=-2

y=14

Step-by-step explanation:

-7x=4x+22

-11x=22

x=-2

y=-7(-2)

y=14

7 0

3 years ago

Read 2 more answers

The average hourly wage of computer programmers with 2 years of experience has been $21.80.Because of high demand for computer p

svp [43]

Answer:

d. H0: μ <= 21.80 Ha: μ > 21.80

Step-by-step explanation:

We set the null hypothesis as what is already given . We are already informed that the average wage is equal to μ <= 21.80 against the claim that is required. It is required to test whether the average wage of the computer programmers is greater than μ > 21.80

So option d is the best answer.

Hypotheses testing is done using an observation and a claim. The observation is set as a null hypothesis and claim is set as an alternative hypothesis. The null and alternative hypotheses must be chosen wisely to get the correct results.

The critical region is dependent on the claim set.

5 0

3 years ago

What is the value of x? Enter your answer in the box. X=?

Marina86 [1]

Answer:

x = 32

Step-by-step explanation:

This is an equilateral triangle. This means the angles of the triangle are all equal. Since the sum of a triangle's angles is 180°, that means each angle will be 60°.

$2x-4=60\\2x=64\\x=32$

8 0

3 years ago