Answer:
17
Step-by-step explanation:
First of all, based on the Pythagorean theorem, a^2 + b^2 = c^2
(it's very important that the ∠ABD angle is 90 degrees)
8^2 + 15^2 = s and 5^2 + 15^2 = CD (but the original question doesn't want the value of CD, so we just need to solve for s)
64 + 225 = 289 now remember, 289 is s^2, and we only want the value of s, so we have to find its square root: √289 = 17
Hope it helped!
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Answer:
$21.00
Step-by-step explanation:
1(x+3)+x=45
x+3+x=45
x+x=42
2x=42
x=21
Well, 9 is bigger than 1, and the decimal parts can't do
anything to change that, so I guess it must be.
Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have
f^(-1)(f(x)) = x
Differentiating with the chain rule gives
(f^(-1))'(f(x)) f'(x) = 1
so that
(f^(-1))'(f(x)) = 1/f'(x)
Let x = a; then
(f^(-1))'(f(a)) = 1/f'(a)
(f^(-1))'(b) = 1/f'(a)
In particular, we take a = 2 and b = 7; then
(f^(-1))'(7) = 1/f'(2) = 1/5