Find the value of x and the measure of angleMNQ.
2 answers:
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Differentiating both sides of
with respect to <em>x</em> yields (using the chain rule)
Solve for d<em>y</em>/d<em>x</em> :
The answer is then D.
Answer:
6. 60°
7. 5.19559
8. 7.96011
Step-by-step explanation:
6. The sum of angles in a triangle is 180°, so the remaining angle is ...
180° -40° -80° = 60°
7. The lengths of sides are proportional to the sine of the opposite angle (Law of Sines).
a = c·sin(A)/sin(C) = 7·sin(40°)/sin(60°) ≈ 5.19559
8. Same explanation as 7.
b = c·sin(B)/sin(C) = 7·sin(80°)/sin(60°) ≈ 7.96011
Answer: Choice D)
The steps to finding the inverse will have us swap x and y. Afterward, we solve for y
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Extra info:
The inverse relation is not a function because of the plus minus. For instance, plugging x = 4 into leads to y = -3 and y = 3 simultaneously. You would have to apply a domain restriction on
to make it a one-to-one function, to make the inverse a function. One possible domain restriction is
which would lead to the inverse function