Three vertices of a parallelogram are (0,6), (1,6), and (9,10). Graph the parallelogram.
1 answer:
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Answer:
radians
Step-by-step explanation:
Arc length and radius is given. So, we need to know the arc length formula for a circle.
That is:
Where s is the arc length
r is the radius
is the angle (IN RADIANS)
We have:
s = 15.5
r = 9
Now, we substitute and find the angle:
The angle, in radians, in 1.72
Answer:
see explanation
Step-by-step explanation:
I will begin with part two, first.
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
Given
x² - 18x + y² - 10y = - 6
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is
(x - 9)² + (y - 5)² = 100 ← in standard form
with centre = (9, 5 ) and r = = 10