To divide complex numbers in polar form, divide the r parts and subtract the angle parts. Or
<span><span><span><span>r2</span><span>(<span>cos<span>θ2 </span>+ i</span> sin<span>θ2</span>) / </span></span><span><span>r1</span><span>(<span>cos<span>θ1 </span>+ i</span> sin<span>θ1</span>)</span></span></span></span> <span>= <span><span><span>r2/</span><span>r1</span></span></span><span>(cos(<span><span>θ2</span>−<span>θ1) </span></span>+ i sin(<span><span>θ2</span>−θ1)</span><span>)
</span></span></span>
z1/z2
= 3/7 (cos(π/8-π/9) + i sin(π/8 - π/9))
= 3/7 (cos(π/72) + i sin(π/72))
Answer:
c
Step-by-step explanation:
Answer:
- <em>B. The grouping method of factoring trinomials involves rewriting the bx term into the factors that fit the particular trinomial, and factoring these four terms using grouping</em>
Explanation:
The description may be better explained by applying it to an example.
Example:
- the general form of a trinomial is a x² - bx - 30
- comparing with x² - x - 30 the <em>bx term </em>is - x
- then you must <em>rewrite the bx term, - x,</em> into two terms whose coefficients are factors of 30:
Two numbers which add up - 1 and multipled are - 30. Those numbers are - 6 and + 5, because -6 + 5 = - 1 and (-6) × (+5) = -30.
Hence, the two terms are -6x and 5x, and the expression rewritten is:
x² - 6x + 5x - 30
- <em>factor these four terms using grouping</em>:
(x² - 6x) + (5x - 30)
x(x - 6) + 5(x - 6)
(x - 6) (x + 5)
Hence, the factored trinomial is (x - 6) (x + 5)
X=5
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6
Yoooooo
Ooooooo
Oooooow
the least common denominator for 32 and 64 is
Answer: 64
