Answer:
c = -1
Step-by-step explanation:
3(c+5)=12
3 × c = 3c
3 × 5 = 15
3c + 15 = 12
<u> - 15 -15</u>
3c = -3
c = -3 ÷ 3 = -1
Check:
3(-1+5)=12
-3 + 15 = 12
Answer:
36 <127
(36,127°)
36 [ cos (127) + i sin (127)]
Step-by-step explanation:
w1 = 2 < 95
w2 = 18 < 32
w1 * w2
We multiply the magnitude and add the angles
w1 * w2 = 2*18 < (95+32)
=36 < 127
36 [ cos (127) + i sin (127)]
Answer:
4(5x-8) (x+5)
Step-by-step explanation:
4(5x^2+17x-40)
4(5x-8) (x+5)
Step-by-step explanation:
1. What the GCF
the GCF is 4
4(x + 8)
2. divide by 4
4(x+8) is the solution
Answer:
If Z is a complex number:
Z = a + b*i
where a and b are real numbers, and i is an imaginary number.
Then "a" is the real part.
"b*i" is the imaginary part.
The conjugate of Z is:
Zc = a - b*i
So the sign of the imaginary part changes.
Then:
Sum:
Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a
and remember that a is a real number, then 2*a is also a real numer.
The correct answer is "A real number".
Difference:
Z - Zc = (a + bi) - (a - bi) = 2b*i
and this is a pure imaginary number, so here the correct answer is: "a pure imaginary number"