Step-by-step explanation:
Write i in trigonometric form. Since |i| = 1 and arg(i) = π/2, we have
i = exp(i π/2) = cos(π/2) + i sin(π/2)
By DeMoivre's theorem,
i² = exp(i π/2)² = exp(i π) = cos(π) + i sin(π)
and it follows that i² = -1 since cos(π) = -1 and sin(π) = 0.
2 x 3 x 3 x 3 = 54
2 x 3 = 6
3 x 3 = 9
6 x 9 = 54
hope this helps :P
Answer:
x = 11
Step-by-step explanation:
A triangle has three sides, which are its edges. Also, it has three vertices that are the corners of a triangle and where two edges meet.
The circumference is equidistant from the vertices of the triangle:
Equidistant = At equal distances.
The vertices in the picture are: A, B, C
The circumcenter is: P
So, we can apply the rule: PA = PB = PC
PA = 38
PB = 6x - 28
PC = ?
And since the picture labels PA and PB, we set up the equation:
PA = PB = PC
38 = 6x - 28
Add 28 to both sides
38 + 28 = 6x - 28 + 28
66 = 6x
Divide 6 on both sides
66/6 = 6x/6
Simplify
11 = x
Flip the equation
x = 11
