We are given with two functions: f(x) = 9x - 2 and g(x) = -x + 3. In this problem, the expression of f(g(x)) is asked. We first substitute g(x) to f(x) resulting to f(-x + 3) = 9 (-x + 3) - 2 equal to -9x + 27 -2 or <span>f(g(x)) = -9x + 25.</span>
The point-slope equation of the line is: y - 2 = 8(x - 2).
<h3>How to Write the Point-Slope Equation of a Line?</h3>
The point-slope equation is: y - b = m(x - a), where:
- m = slope
- (a, b) is a point.
Using the coordinates of the point shown in the graph, substitute (a, b) = (2, 2) and m = 8 into y - b = m(x - a):
y - 2 = 8(x - 2)
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Answer:
37
Step-by-step explanation:
Hey there!
Looking at the graph, we can see that the lengths of the two bases are 6 and 3. We can also see that the height is 6 as well.
The formula for the area of a trapezoid is shown below.
A=0.5h(a+b)
In the equation, h represents the height and a and b represent the two bases.
Let's plug our values into the equation.
A=0.5(6)(6+3)
A=3(9)
A=27
Therefore, our answers are below.
Bases: 3 and 6
Height: 6
Area: 27 square units
I hope this helps!
