Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
1.5
i
1.5i
The answer is z = 3 + i
z = a + bi
conj(z) = a - bi
conj(7 + 3i) = 7 - 3i
<span>(conj)z + 2z = 2 + 4i + conj(7 + 3i)
</span>a - bi + 2(a + bi) =<span> 2 + 4i + 7 - 3i
</span>a - bi + 2a + 2bi =<span> 2 + 4i + 7 - 3i
</span>3a + bi = 9 + i
From here:
3a = 9 and bi = i
a = 9/3 b = i/i
a = 3 b = 1
z = a + bi
z = 3 + 1 * i
z = 3 + i
AB = CB Given
D is the midpoint of AC given
AD= CD Definition of midpoint
Angle BAD = Angle BCD base angle theorem
Triangle ABD = Triangle CBD SAS
Be sure to use your symbols for congruent, etc. I couldn't type those in
Ah, looks like a special right triangle to me, just got done learning about these.
Alright, so, since this is a 30-60-90 triangle, 6 is the smallest leg (as across from 30 degree is the smallest leg), labeled as s. Across from the 90 is 12, as that is 2s.
The missing side, across from the sixty, would be 6 square root of 3 (fourth answer).
I believe it would be C. (-1.8, 15)