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Pavlova-9 [17]
3 years ago
14

Find the value of x in the triangle below

Mathematics
1 answer:
Tom [10]3 years ago
3 0

Answer:

6.76

Step-by-step explanation:

applying pythogorem theorem

a^2+b^2=c^2

5^2+b^2=13^2

25+b^2=169

b^2=169/25

b^2=6.76^2

b=6.76

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If g(x) = 3 · x - 1 and f(x) = \sqrt{9-x^{2}}, then the domain of the division of f(x) by g(x) is equal to the following <em>composite</em> interval: [-3, 1/3) ∪ (1/3, 3] (Correct choice: A)

<h3>What is the domain of a function as a result of a binary operator</h3>

<em>Binary</em> operators are operators that involves two functions, there are four <em>binary</em> operators: (i) Addition, (ii) Subtraction, (iii) Multiplication, (iv) Division. First, we determine the domains of the functions f(x) and g(x):

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Domain - [-3, 3]

g(x):

Domain - (- ∞, + ∞)

If we divide f(x) by g(x), then we must take g(x) = 0 into account, since it leads to indetermination. In this case, x = 1/3. Then, the domain of the resulting function:

(f/g)(x):

Domain - [-3, 1/3) ∪ (1/3, 3]

If g(x) = 3 · x - 1 and f(x) = \sqrt{9-x^{2}}, then the domain of the division of f(x) by g(x) is equal to the following <em>composite</em> interval: [-3, 1/3) ∪ (1/3, 3] (Correct choice: A)

To learn more on functions: brainly.com/question/12431044

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