Observe that
|√3 + i| = √((√3)² + 1²) = √4 = 2
and
arg(√3 + i) = arctan(1/√3) = π/6
so that
√3 + i = 2 exp(i π/6)
By de Moivre's theorem, we get
(√3 + i)⁶⁰ = 2⁶⁰ exp(i π/6 • 60) = 2⁶⁰ exp(i 10π) = 2⁶⁰
Answer:
y=3(x+3)^2-8
Step-by-step explanation:
Vertex form:
y=a(x-h)^2+k
h=-3, k=-8
y=a(x+3)^2-8
sub (-4,-5)
-5=a(-4+3)^2-8
a=3
y=3(x+3)^2-8
Answer:
0 true for all values
Step-by-step explanation:
Answer: -x - 5y + 19 = 0, choice A
All we're doing is adding 19 to both sides to get everything on the same side.
General form is Ax+By+C = 0. Some books use Ax+By = C which is just a variation of the same idea.
