So, 4/3 - 2i
4/3 - 2i = 12/13 + i8/13
multiply by the conjugate:
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13
(3 - 2i) (3 + 2i)
apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b = - 2
= 3^2 + (- 2)^2
refine: = 13
= 4(3 + 2i)/13
distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)
Simplify:
4(3) + 4(2i)
12 + 8i
4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)
Multiply the numbers: 4(2) = 8
= 12 + 8i
12 + 8i
= 12 + 8i/13
Group the real par, and the imaginary part of the complex numbers:
Your answer is: 12/13 + 8i/13
Hope that helps!!!
Given:
radius = 30 inches
Circumference of a circle = 2 * π * r
C = 2 * 3.14 * 30 inches
C = 188.40 inches
Answer is Choice B. 188.4 inches.
Answer:
Option (1)
Step-by-step explanation:
Angles 2 and 5 are supplementary by the same-side interior angles theorem.
Answer:
it should be 3/1
Step-by-step explanation:
81^2 = 18 ^2 + 80^
6561 = 324 + 6400
6561 = 6724
<span>It is not a right angle, since 18^2 + 80^2 does not equal 81^2.
So,
Using </span><span>The law of cosines:
</span>The largest angle C is opposite to the side c.
Therefore,
<span>c^2 = a^2 + b^2 -2ab cosC </span>
<span>Here,
c^2 < (a^2 + b^2)
cosC must be positive which makes C an acute angle.</span>
