40/3 or 13.333333- your welcome
Answer:
the first one is 84
Step-by-step explanation:
subtract 145-61 then you get 84for the missing angle.
The quadrilateral with two sides parallel and the other two sides intersecting is a trapezoid.
<h3>What is a trapezoid?</h3>
The figure with the four sides and the sum of the angles with 360 degrees are called a quadrilateral.
A trapezoid is a quadrilateral because it has four sides and the sum of the angles of all the sides is 360 degrees. The quadrilateral is a trapezoid because it has two sides parallel and the other two sides are intersecting.
Therefore the quadrilateral with two sides parallel and the other two sides intersecting is a trapezoid.
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Answer:
a) (g(x), f(u)) = ( 7*√x , e^u )
b) y ' = 3.5 * e^(7*√x) / √x
Step-by-step explanation:
Given:
- The given function:
y = e^(7*√x)
Find:
- Express the given function as a composite of f(g(x)). Where, u = g(x) and y = f(u).
- Express the derivative of y, y'?
Solution:
- We will assume the exponent of the natural log to be the u. So u is:
u = g(x) = 7*√x
- Then y is a function of u as follows:
y = f(u) = e^u
- The composite function is as follows:
(g(x), f(u)) = ( 7*√x , e^u )
- The derivative of y is such that:
y = f(g(x))
y' = f' (g(x) ) * g'(x)
y' = f'(u) * g'(x)
y' = e^u* 3.5 / √x
- Hence,
y ' = 3.5 * e^(7*√x) / √x