(√3 - <em>i </em>) / (√3 + <em>i</em> ) × (√3 - <em>i</em> ) / (√3 - <em>i</em> ) = (√3 - <em>i</em> )² / ((√3)² - <em>i</em> ²)
… = ((√3)² - 2√3 <em>i</em> + <em>i</em> ²) / (3 - <em>i</em> ²)
… = (3 - 2√3 <em>i</em> - 1) / (3 - (-1))
… = (2 - 2√3 <em>i</em> ) / 4
… = 1/2 - √3/2 <em>i</em>
… = √((1/2)² + (-√3/2)²) exp(<em>i</em> arctan((-√3/2)/(1/2))
… = exp(<em>i</em> arctan(-√3))
… = exp(-<em>i</em> arctan(√3))
… = exp(-<em>iπ</em>/3)
By DeMoivre's theorem,
[(√3 - <em>i </em>) / (√3 + <em>i</em> )]⁶ = exp(-6<em>iπ</em>/3) = exp(-2<em>iπ</em>) = 1
With this information you can write the expression
9.95m + 5 = 7.99m
This demonstrates the cost for each one after m months.
Answer:
Step-by-step explanation:
Putting value of x = 2 in the equation
F(2) = 2(2) - 6
= 4 - 6
= - 2
<span>√109</span>≈<span>10.44030650 <--- Answer
</span>Distance=<span>√<span><span><span>(<span>x2</span>−<span>x1</span>)</span>2</span>+<span><span>(<span>y2</span>−<span>y1</span>)</span><span>2
</span></span></span></span>√<span><span><span>(<span>(−1)</span>−<span>(2)</span>)</span>2</span>+<span><span>(<span>(−5)</span>−<span>(5)</span>)</span><span>2
That check sign is the square root, since they wouldnt let me put it in...</span></span></span>
The axis of symmetry is x=3, and the y-intercept is 2.
