Answer: (x - 2)² + (y - 3)² = 4
<u>Step-by-step explanation:</u>
The equation of a circle is: (x - h)² + (y - k)² = r² where
- (h, k) is the center of the circle
- r is the radius of the circle.
Given: (h, k) = (2, 3) and (x, y) = (2, 1)
Input those values to find r²:
(x - h)² + (y - k)² = r²
(2 - 2)² + (1 - 3)² = r²
0 + 4 = r²
4 = r²
Now input (h, k) = (2, 3) and r² = 4 into the equation of a circle:
(x - h)² + (y - k)² = r²
(x - 2)² + (y - 3)² = 4
The first thing we must do in this case is to rewrite the equation correctly:
T = 2 * pi * root (l / 32)
From here, we clear l:
T / (2 * pi) = root (l / 32)
l / 32 = (T / (2 * pi)) ^ 2
l = 32 * (T / (2 * pi)) ^ 2
Substituting values:
l = 32 * (1.57 / (2 * 3.14)) ^ 2
l = 2 feet
Answer:
the length is:
l = 2 feet
Answer:
Step-by-step explanation:
12 I think
Answer:
Step-by-step explanation:
1) <u>B(1, 5)</u>
<u />
<u>Dilation</u>
(1,5) => (2x, 2y)
=> (1 x 2, 5 x 2)
=> (2, 10)
<u>Translation</u>
<u>(</u>2,10) => (x + 5, y - 3)
=> (2 + 5, 10 - 3)
=> (7, 7)
<u><em>B' = (7,7)</em></u>
2) <u>Translation</u>
(1,5) => (x + 5, y - 3)
=> (1 + 5, 5 - 3)
=> (6, 2)
<u>Dilation</u>
(6, 2) => (2x, 2y)
=> (6 x 2, 2 x 2)
=> (12, 4)
<u><em>B' = (12,4)</em></u>