Answer:
Step-by-step explanation:
Given the following complex numbers, we are to expressed them in the form of a+bi where a is the real part and b is the imaginary part of the complex number.
1) (2-6i)+(4+2i)
open the parenthesis
= 2-6i+4+2i
collect like terms
= 2+4-6i+2i
= 6-4i
2) (6+5i)(9-2i)
= 6(9)-6(2i)+9(5i)-5i(2i)
= 54-12i+45i-10i²
= 54+33i-10i²
In complex number i² = -1
= 54+33i-10(-1)
= 54+33i+10
= 54+10+33i
= 64+33i
3) For the complex number 2/(3-9i), we will rationalize by multiplying by the conjugate of the denominator i.e 3+9i
= 2/3-9i*3+9i/3+9i
=2(3+9i)/(3-9i)(3+9i)
= 6+18i/9-27i+27i-81i²
= 6+18i/9-81(-1)
= 6+18i/9+81
= 6+18i/90
= 6/90 + 18i/90
= 1/15+1/5 i
4) For (3 − 5i)(7 − 2i)
open the parenthesis
= 3(7)-3(2i)-7(5i)-5i(-2i)
= 21-6i-35i+10i²
= 21-6i-35i+10(-1)
= 21-41i-10
= 11-41i
Answer:
Area = 140
16 x 8.75 = 140
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Story:
There is a tank that can fill 4 liters of water. The 2/3 of the tank has been filled with water. How much liters have the tank filled with water?
Solution of story:
<u>We know that:</u>
- Tank = 4 liters
- 2/3 x 4 = Water filled in tank
Multiply both the terms to get the answer.
<u>Solution:</u>
- 2/3 x 4 liters
- => 8/3 liters = 2 2/3 liters
Hence, 2 2/3 liters has been filled with water.
Hoped this helped.
Here: m = 6, b = 4.
m is the slope of the line, so slope is 6.
any line parallel to this line will also have the slope of 6.
any line perpendicular to the given line will have the slope of: -1/m1<span>.
hope this helps leave a thanks if it does </span>
