Answer:
8x?y
Step-by-step explanation:
Answer:
1mm
Step-by-step explanation:
1 × 1 × 1
<em>good luck, i hope this helps :)</em>
Answer:
gcf, hcf, lcd (308; 420) = 28 = 2^2 × 7: greatest (highest) common factor (divisor), calculated. The numbers have common prime factors.
Step-by-step explanation:
use a calculator to help
Using <span>De Moivre's formula
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if z = a ( cos x + i sin x ) ⇒⇒⇒ ∴ z^n = a^n ( cos nx + i sin nx)
Part (1)
∴ [ 3 (cos 27° + i sin 27°) ]⁵ = (3⁵) ( cos 5*27° + i sin 5*27°)
= 243 ( cos 135° + i sin 135°) ⇒⇒⇒⇒ Polar form
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Part (2)
The angle 135° in the second quadrant ⇒ sin is (+) and cos is (-)
and its reference angle = 180° - 135° = 45°
sin 45° = cos 45°= 1/√2 = (√2)/2
∴ sin 135° = (√2)/2 and cos 135° = -(√2)/2
∴ 243 ( cos 135° + i sin 135°) = 243 [ -(√2)/2 + i (√2)/2 ]
= - 243(√2)/2 + 243 (√2)/2 i ⇒⇒⇒⇒ standard form
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The correct answers are options (1) and (3)
option (1) ⇒⇒⇒ 243 ( cos 135° + i sin 135°) ⇒⇒⇒⇒ Polar form
option (3) ⇒⇒⇒ - 243(√2)/2 + 243 (√2)/2 i ⇒⇒⇒⇒ standard form
Answer:
Step-by-step explanation:
step 1
Find the diameter of the circle
the formula to calculate the distance between two points is equal to
substitute the values
The radius is half the diameter
so
step 2
Find the center of the circle
the center of the circle is the midpoint between the endpoints of the diameter
so
The center is
step 3
Find the equation of the circle
The equation of the circle is
substitute the values
