9x+9+5? how do you solve this.
1 answer:
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We know that:
is an equation of a circle.
When we substitute x and y (from the pairs we have), we'll get a system of equations:
and all we have to do is solve it for a, b and r.
There will be:
From equations (II) and (III) we have:
and from (I) and (II):
Now we can easly calculate a and b:
Finally we calculate
:
And the equation of the circle is:
is an equation of a circle.
When we substitute x and y (from the pairs we have), we'll get a system of equations:
and all we have to do is solve it for a, b and r.
There will be:
From equations (II) and (III) we have:
and from (I) and (II):
Now we can easly calculate a and b:
Finally we calculate
And the equation of the circle is:
a ≈ 5.2, B ≈ 50°, C ≈ 95°
Solution:
Given data:
A = 35°, b = 7, c = 9
Using cosine law,
Taking square root on both sides.
a ≈ 5.2
Using sine law,
Multiply by 7 on both sides.
Switch the sides.
Sin B = 0.772
B ≈ 50°
Sum of all the angles of a triangle = 180°
A + B + C = 180°
35° + 50° + C = 180°
85° + C = 180°
C = 180° - 85°
C = 95°
Hence a ≈ 5.2, B ≈ 50°, C ≈ 95°.