6:15:21
6:15:21= 2:5:7
<em>(when divided by 3)</em>
1. vertex is -4 because:
x^2-8x-20,
a=1, b=-8 , c=-20
use vertex form! -b/2a = -8/2(1) = -8/2 = -4.
2. axis of symmatry is the x which is also -4. The same steps go for the second one.
3. y intercept, I think the answer is -20. Im not sure for this one.
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Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
Answer:
495 cm3
Step-by-step explanation:
5x9x11
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
tanx = 
Consider the left side
← divide terms on numerator/denominator by cotA
= 
= 
= right side , thus proven