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Aleksandr [31]
3 years ago
14

Factor the trigonometric function. cot^2x+cscx-5

Mathematics
1 answer:
belka [17]3 years ago
7 0
Cot^2(x) -11.47371324
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For what values of the variables are the following expressions defined? 1. 5y+2 2. 18/y 3. 1/x+7 4. 2b/10−b Example: X>7
Serga [27]

Answer:

1. All real numbers

2. All real numbers except y = 0

3. All real numbers except x = -7

4. All real numbers except b = 10

Step-by-step explanation:

For any function to be defined at a particular value, it should not be <em>approaching to a value </em>\infty<em> or it should not give us the </em>\frac{0}{0}<em> (zero by zero) form </em> when the input is given to the function.

The value of function will depend on the denominator.

Now, let us consider the given functions one by one:

1. 5y+2

Here denominator is 1. So, it can not attain a value \infty or \frac{0}{0}<em> (zero by zero) form </em>

So, for all real numbers, the function is defined.

2.\ \dfrac{18}{y}

At y = 0, the value

At\ y =0,  \dfrac{18}{y} \rightarrow \infty

So, the given function is <em>defined for all real numbers except y = 0</em>

<em></em>

<em></em>3.\ \dfrac{1}{x+7}<em></em>

Let us consider denominator:

x + 7 can be zero at a value x = -7

At\ x =-7,  \dfrac{1}{x+7} \rightarrow \infty

So, the given function is <em>defined for all real numbers except x = -7</em>

<em></em>

4.\ \dfrac{2b}{10-b}

Let us consider denominator:

10-b can be zero at a value b = 10

At\ b =10,  \dfrac{2b}{10-b} \rightarrow \infty

So, the given function is <em>defined for all real numbers except b = 10</em>

<em></em>

7 0
3 years ago
Pls help! I can't go to bed unless they're all finished T-T there's 3 pictures people answer them all.
mezya [45]

Answer:

that's a lot I'm sorry but I can't do that all

Step-by-step explanation:

sorrrryyyyy

5 0
3 years ago
Find the area of a pentagon with apothem = 6.88m and side length = 10m.
erik [133]

<em>A</em>=1/4 times the square root of

5(5+2 square root5) times apothem squared

Plug everything into the equation and you get

≈172.04774

The answer is about 172.05

4 0
3 years ago
Find the length of x.
jenyasd209 [6]
This is one of the photos I used to answer, I’m going to send the second one

6 0
3 years ago
12 years ago, Juan was 2/3 the age he is now. Write and solve an equation to figure out how old he is now.
astra-53 [7]
12 x 2/3= a. a being his current age. hope this is correct!
8 0
3 years ago
Read 2 more answers
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