By DeMoivre's theorem,
(3 (cos(5<em>π</em>/6) + <em>i</em> sin(5<em>π</em>/6)))⁴ = 3⁴ (cos(4×5<em>π</em>/6) + <em>i</em> sin(4×5<em>π</em>/6))
… = 81 (cos(20<em>π</em>/6) + <em>i</em> sin(20<em>π</em>/6))
… = 81 (cos(10<em>π</em>/3) + <em>i</em> sin(10<em>π</em>/3))
… = 81 (cos(-2<em>π</em>/3) + <em>i</em> sin(-2<em>π</em>/3))
… = 81 (cos(2<em>π</em>/3) - <em>i</em> sin(2<em>π</em>/3))
… = 81 (-1/2 + √3/2 <em>i </em>)
… = -81/2 + 81√3/2 <em>i</em>
Hello,
sin(-45°)=-√2 /2 =-0,7071067....
<h3>
Answer: x+4</h3>
This is because the given expression factors to (x+4)(x+4), which condenses to (x+4)^2.
To factor, think of two numbers that A) multiply to 16, and B) add to 8. Those values would be 4 and 4
4+4 = 8
4*4 = 16
So that's how we end up with (x+4)(x+4). You can use the FOIL rule to expand that out and get x^2+8x+16 again to help verify you have the correct factorization.
Answer:71
Step-by-step explanation:
Answer:
Step-by-step explanation:
parallel lines MUST have the same slope :)
so 2