Sum of two angles that are supplementary = 180°
Let the smaller angle be = x
Using this let us find the measures of the smaller angle and bigger angle .
∴ The measure of the two angles are = 21° and 159° .
The equation y²/8² - x²/b² represents a hyperbola centered at the origin with a focus of (0, -10).
2 answers:
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Answer:
(a)
(b) Domain: <em>(See attachment for graph)</em>
(c)
Step-by-step explanation:
Given
Solving (a): A function; l in terms of w
All we need to do is make l the subject in
Divide through by 2
Subtract w from both sides
Reorder
Solving (b): The graph
In (a), we have:
Since l and w are the dimensions of the fence, they can't be less than 1
So, the domain of the function can be
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To check this
When
When
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<em>See attachment for graph</em>
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Solving (c): Write l as a function
In (a), we have:
Writing l as a function, we have:
Substitute for l in
becomes
