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
Answer:
41 miles per gallon
Step-by-step explanation:
41 miles ÷ 1
1 gallons ÷ 1
41 miles
1 gallons
41 miles
gallon
41 miles per gallon
*Every number divided or multiplied
by 1 is the same number (1÷1=1 / 2÷1=2)*
Answer:
x= 12.528
*rounded is 12.53 or 12.5
Step-by-step explanation:
7.3 ^2 + x^2 = 14.5^2
53.29 + x^2 = 210.25
-53.29 -53.29
x^2= 156.96
x= 12.528
4 times will take you to cross