Answer
b. 32 sq. unit
Step-by-step Explanation
The area of the trapezoid is given by
We substitute the given values into the formula to obtain;
Simplify
Hence the area is
The solution to the composite function f(g(x)) is 9x² - 78x + 165.
<h3>
What is composite function?</h3>
A composite function is generally a function that is written inside another function.
Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.
From the given composite function, the solution is determined as follows;
to solve for f(g(x)), we use the following methods.
f(x) = x² + 2x - 3, g(x) = 3x - 14
f(g(x)) = (3x - 14)² + 2(3x - 14) - 3
= 9x² - 84x + 196 + 6x - 28 - 3
= 9x² - 78x + 165
Thus, the solution to the composite function f(g(x)) is 9x² - 78x + 165.
Learn more about composite function here: brainly.com/question/10687170
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The complete question is below:
F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))
Answer:
The equation to determine the total length in kilometers is 
The total length in kilometers of Josh’s hike is 38 km.
Step-by-step explanation:
Given:
Let the total length in kilometers of Josh’s hike be h.
Now Given that He has now hiked a total of 17 km and is 2 km short of being 1/2 of the way done with his hike.
It means that to reach half of the length of total length Josh needs 2 more km to add in his hiking which is done which is of 17 km.
Framing the above sentence in equation form we get;
Hence, The equation to determine the total length in kilometers is
Now Solving the above equation we get;
First we will multiply 2 on both side using Multiplication property we get;
Hence, The total length in kilometers of Josh’s hike is 38 km.
Answer:
b = 12.6
Step-by-step explanation:
a*2 + b*2 = c*2
6*2 + b*2 = 14*2
36 + b*2 = 196
Subtract 36 from both sides
36 + b*2 = 196
-36 -36
b*2 = 160
Find the square root of both
b = 12.64911064 or 12.6
