Answer:
we know that,
y-y1=m(x-x1)
or, y-1=-3(x-5)
or, y-1=15-3x
or 3x+y-16=0 is the required equation
The complete sentence for the <em>unit</em> circle is:
<em>When t = 0, AP = 0, so sin t will begin at a value of 0. As t increases from 0 to π/2, sin t increases. Eventually, when t = π/2, OP will be 0, so sin t = AP will be 1.</em>
<h3>How to complete a sentence with concepts from trigonometry</h3>
In this problem we have sentence to be completed by direct observation to the variables seen in a unit circle, a form used to teach trigonometric functions in a <em>graphic</em> manner. Now we proceed to present the complete sentence below:
<em>When t = 0, AP = 0, so sin t will begin at a value of 0. As t increases from 0 to π/2, sin t increases. Eventually, when t = π/2, OP will be 0, so sin t = AP will be 1.</em>
To learn more on trigonometric functions: brainly.com/question/6904750
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It already is a fraction though. I assume you mean to simplify it. You can simplify fraction by taking out the greatest common factor(that they share) in the denominator and numerator. In this case the denominator and numerator share the factor 5. So you if you divide the numerator and denominator by 5 you get 3/10 or the simplest form of the fraction.
The answer is
The domain of the composite function is given as follows:
[–3, 6) ∪ (6, ∞)
<h3>What is the composite function of f(x) and g(x)?</h3>
The composite function of f(x) and g(x) is given as follows:
In this problem, the functions are:
- .
The composite function is of the given functions f(x) and g(x) is:
The square root has to be non-negative, hence the restriction relative to the square root is found as follows:
The denominator cannot be zero, hence the restriction relative to the denominator is found as follows:
Hence, from the restrictions above, of functions f(x), g(x) and the composite function, the domain is:
[–3, 6) ∪ (6, ∞)
More can be learned about composite functions at brainly.com/question/13502804
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