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ryzh [129]
3 years ago
12

State the domain of the rational function.

Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0
f(x)=\dfrac{12}{13-x} is undefined where the denominator is zero. The domain is all values of x for which the function is defined.

The domain of f(x) is all real numbers except 13.
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Answer:

106

Step-by-step explanation:

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6 0
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Kate has a kite with the dimensions shown below. What is the value of X?
sergij07 [2.7K]
Hey there! :D

We will use the properties of similar triangles to figure this out. 

We will use two triangles inside the kite, with sides with the value of "x". 

Smaller triangle:

Smaller side= 11

Bottom side= x

Bigger triangle:

Smaller side= x

Bottom side= 25

\frac{11}{x} = \frac{x}{25}

Cross multiply. 

25*11= 275

x*x= x^{2}

Find the square root. 

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6 0
3 years ago
In the diagram, the length of segment VS is 39 units.
Darina [25.2K]

Answer:

TV=38\ units

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

The figure shows a kite

The kite has two pairs of consecutive and congruent sides and the diagonals are perpendicular

That means

TS=VS

TQ=VQ

TR=RV

we have

VS=39\ units

TS=6x-3

so

6x-3=39

solve for x

6x=39+3\\6x=42\\x=7

<em>Find the value of RV</em>

RV=2x+5

substitute the value of x

RV=2(7)+5=19\ units

Remember that

TV=TR+RV ---> by segment addition postulate

we have

TR=RV=19\ units

so

TV=19+19=38\ units

5 0
3 years ago
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