When are two angles complementary?
2 answers:
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When are two angles complementary?
Two angles are complementary when they add up to .
For example:-
Angles whose measures are 60º and 30º are complementary because they add up to 90º.
Now, supplementary angles add up to .
For example, angles whose measures are 140º and 40º are supplementary because they add up to 180º.
<h3>Good luck.</h3>
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Answer:
Step-by-step explanation:
The Given question is INCOMPLETE as the statements are not provided.
Now, let us try and solve the given expression here:
The given expression is:
Now, the BINOMIAL EXPANSION is the expansion which describes the algebraic expansion of powers of a binomial.
Here,
or, on simplification, the terms of the expansion are:
The above statement holds for each n > 0
Hence, the complete expansion for the given expression is given as above.
<h3>f(x) = -3·2^(x-1) -1</h3>
- reflection across the x-axis (multiplication by -1)
- vertical expansion by a factor of 3 (multiplication by 3)
- shift to the right 1 unit (replace x with x-1)
- shift down 1 unit (add -1 to the function value)
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<h3>f(x) = -1/4·2^(x+1) -1</h3>You may notice this is the same as the previous question, but with the vertical expansion factor 1/4 instead of 3, and the horizontal shift left instead of right.
- reflection across the x-axis (multiplication by -1)
- vertical compression by a factor of 4 (multiplication by 1/4)
- shift to the left 1 unit (replace x with x+1)
- shift down 1 unit (add -1 to the function value)