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leva [86]
3 years ago
9

20 POINTS!!

Mathematics
1 answer:
Finger [1]3 years ago
6 0

Answer:

Since we have two congruent sides with one congruent angle in between the answer is SAS.

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If f(x)=x+7 and g(x)= 1 divided by x-13, what is the domain of (f•g)(x)?
andrew11 [14]
<h2>Hello!</h2>

The answer is:

The domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

<h2>Why?</h2>

This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.

Composite function is equal to:

f(g(x))=(f\circ} g)(x)

So, the given functions are:

f(x)=x+7\\\\g(x)=\frac{1}{x-13}

Then, composing the functions, we have:

f(g(x))=\frac{1}{x-13}+7\\

Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.

If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.

So, the domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

Have a nice day!

5 0
3 years ago
I need help on number 10
blagie [28]
Could I see a picture of what kind of triangle it is please?
6 0
3 years ago
The average age of the six people on a winter ski trip was twenty-six. An eleven year-old had to leave the trip early to attend
guapka [62]
It’s will be 25 or 36 ?
3 0
3 years ago
Thomas is 4 years older than his brother william. in five years the sum of their age will be 24. how old is each boy?
Rasek [7]
Let William be x years old.

Thomas = (4 + x) years

In five years,

William = (x + 5) years

Thomas = 4 + x + 5 = (9 + x) years

Given, in five years sum of their ages is 24.

x + 5 + 9 + x = 24

2x + 14 = 24

2x = 24 - 14 

2x = 10

x = \frac{10}{2}

x = 5

Hence, William is 5 years old and Thomas is 9 years old.
5 0
3 years ago
Brielle's piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80/ If Brielle has 66 nicke
kramer

Answer:

$4.50

Step-by-step explanation:

40x10=400

400 pennies=4 dollars

5x10=50

50 pennies=1/2 dollar

4 0
3 years ago
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