Rational expression 8/x+5 + x/x+5

Svetlanka [38]

Answer:

The answer is B!!

Step-by-step explanation:

What do we know given from the statement above the photo? We are told <Q is congruent to <S, and QR is congruent to SR. So by given that, we have an angle (angle Q or angle S), a side (side QR or SR), and another angle (angle R), so we have ASA. I hope this helps!!

6 0

2 years ago

Read 2 more answers

A test was given to a group of students. The grades and gender are summarized below

jasenka [17]

Answer:

<h3>★ <u>11/30</u> is the right answer. ★</h3>

Step-by-step explanation:

Number of male students who got 'A' in the test is 11
Number of female students who got 'A' in the test is 19
Total students who got 'A' in the test is 30
Probability that the male student got an 'A' is P(A | male) = (Number of male students who got 'A' in the test)/(Number of total students who got 'A' in the test) = <em><u>11/30</u></em>

4 0

2 years ago

If <img src="https://tex.z-dn.net/?f=tan%20%28x%29%20%3D%20%5Cfrac%7B5%7D%7B12%7D" id="TexFormula1" title="tan (x) = \frac{5}{12

Alekssandra [29.7K]

Explanation:

First, we need to find the values of the sine and cosine of x knowing the value of tan x and x being in the 3rd quadrant. Since tan x = 5/12, using Pythagorean theorem, we know that

$\sin x = -\frac{5}{13}\;\;\text{and}\;\;\cos x = -\frac{12}{13}$

Note that both sine and cosine are negative because x is in the 3rd quadrant.

Recall the addition identities listed below:

$\sin(\alpha + \beta) = \sin\alpha\sin\beta + \cos\alpha\cos\beta$

$\Rightarrow \sin(180+x) = \sin180\sin x + \cos180\cos x$

$\;\;\;\;\;\;= -\sin x = \dfrac{5}{13}$

$\cos(\alpha - \beta) = \cos\alpha \cos\beta + \sin\alpha \sin\beta$

$\Rightarrow \cos(180 - x) = \cos180\cos x + \sin180\sin x$

$\;\;\;\;\;\;=-\cos x = \dfrac{12}{13}$

$\tan(\alpha - \beta) = \dfrac{\tan\alpha - \tan\beta}{1 + \tan\alpha\tan\beta}$

$\Rightarrow \tan(360 - x) = \dfrac{\tan 360 - \tan x}{1 + \tan 360 \tan x}$

$\;\;\;\;\;\;= -\tan x = -\dfrac{5}{12}$

Therefore, the expression reduces to

$\sin(180+x) + \tan(360-x) + \frac{1}{\cos(180-x)}$

$\;\;\;\;\;= \left(\dfrac{5}{13}\right) + \left(\dfrac{5}{12}\right) + \dfrac{1}{\left(\frac{12}{13}\right)}$

$\;\;\;\;\;= \dfrac{49}{26}$

5 0

2 years ago

Indicate whether the following statements are True (T) or False (F).

chubhunter [2.5K]

1. False because a rational is a fraction or part of a number ( $\frac{3}{2}, 3.2$ ). $\sqrt{49} = 7$

2. True; a real number is any number that isn't imaginary ( $i, \sqrt{-1}$ )

3. True; same reason

4. True; an integer is any number that can be wrote without a fraction or decimal (the opposite of rational).

5. True; $\sqrt{3} \approx 1.32$ and that's a decimal.

6. True; the natural number system starts from 0 and counts upwards

7. True; reason above

4 0

3 years ago

Which is the best interpretation of the solution set for the compound inequality?

andriy [413]

Answer:

all real numbers

Step-by-step explanation:

Here is the solution to the first inequality:

3(2x +1) > 21 . . . . . . given

6x +3 > 21 . . . . . . . . eliminate parentheses

6x > 18 . . . . . . . . . . .subtract 3

x > 3 . . . . . . . . . . . . divide by 6

This is all numbers to the right of 3 on the number line.

__

The solution to the second inequality is ...

4x +3 < 3x + 7 . . . . given

x < 4 . . . . . . . . . . . . subtract 3x+3

This is all numbers to the left of 4 on the number line.

__

The conjunction in the system of inequalities is "or", so we are looking for values of x that will satisfy at least one of the conditions. <em>Any value of x</em> will satisfy one or the other or both of these inequalities. The solution is all real numbers.

7 0

3 years ago