Answer:
D 81 pi units^2
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
18 pi = 2 * pi *r
Divide each side by 2 * pi
18 pi / (2 pi) = 2 pi * r/ (2 pi)
9 = r
Now we can find the area. Area is given by
A = pi r^2
A = pi * 9^2
A = 81 pi units^2
Answer:
r equals StartFraction C Over 2 pi EndFraction
Step-by-step explanation:
we know that
The circumference of a circle is equal to

where
r is the radius of the circle
Solve for r
That means -----> isolate the variable r
Divide by 2π both sides

Simplify right side

Rewrite

so
r equals StartFraction C Over 2 pi EndFraction
Answer:
(x+5) and (x-7).
Step-by-step explanation:
The given equation is :

We need to write it in factored form.
We know that,
7×5 = 35 and 7-5 = 2
So,

Hence, the required factors are (x+5) and (x-7).
Answer:
<u>Given function</u>
#15 Find the inverse of h(x)
<u>Substitute x with y and h(x) with x and solve for y:</u>
- x = 2y - 1
- 2y = x + 1
- y = 1/2x + 1/2
<u>The inverse is:</u>
#16 The graph with both lines is attached.
The x- and y-intercepts of both functions have reversed values.
#17 Table of the inverse function will contain same numbers with swapped domain and range.
<u>Initial look is like this:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- h⁻¹(x) | -1 | | 0 | | 1 | | 2
<u>The rest of the table is filled in by finding the values:</u>
- <u>x | -3 | -2 | -1 | 0 | 1 | 2 | 3</u>
- h⁻¹(x) | -1 | -0.5 | 0 | 0.5 | 1 | 1.5 | 2
Total units would be: 3+4 = 7
value of 1 unit = 28/7 = 4
ratio would be 3(4) & 4(4) = 12 & 16