Find the perimeter of this semi-circle with diameter, d = 18cm. Give your answer as an expression in terms of pi.
1 answer:
Answer:
The perimeter of the given semi-circle in terms of is
cm
Step-by-step explanation:
Given that the diameter of the semi-circle is 18cm
That is d=18cm
Therefore radius
Therefore radius r=9cm
To find the perimeter of the semi-circle :
perimeter of the semi-circle
cm (where r=9 cm )
cm
The perimeter of the given semi-circle in terms of is
cm
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Answer:
Both are inverse pairs
Step-by-step explanation:
Question 11
(a) Rename g(x) as y
(b) Solve for x :
(c) Multiply each side by ⅝
(d) Switch x and y
(e) Rename y as the inverse function
(f) Compare with your function
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In the first diagram, the graph of ƒ(x) (blue) is the reflection of g(x) (red) about the line y = x (black)
Question 12
h(x)= x - 2
(a) Rename h(x) as y
y = x - 2
(b) Solve for x:
x = y + 2
(c) Switch x and y
y = x + 2
(e) Rename y as the inverse function
h⁻¹(x) = x + 2
(f) Compare with your function
f(x) = x + 2
f(x) = h⁻¹(x)
h(x) and ƒ(x) are inverse functions.
The graph of h(x) (blue) reflects ƒ(x) (red) across the line y = x (black).
