You have to multiply the two complex numbers, and simplify the result as one single complex number.
A complex number is composed by two terms: the real part, which is a real number, and an imaginary part, which is a multiple of i, the imaginary unit.
So, for example, the first factor is , which means that the real part is 15, and the imaginary part is -4i.
To multiply two complex numbers, you multiply each terms of the first number with each terms of the second number, just like you would multiply two polynomials like . The only exception is that you have to keep in mind that .
So, if we multiply these two numbers term by term we have
This can be simplified to
Summing like terms and recalling that we have
So, the multiplication of the two factor gives as result the complex number . This means that the real part is 78, and the imaginary part is 69i. If you compare the two forms, you have
Based on the information given, the equation to represent the situation is 5p - 6.
The information given is that there are six fewer seashells than the total number of seashells in p packages, each of which has five seashells.
Therefore, the equation will be:
= (5 × p) - 6
= 5p - 6.
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About $58. that is if they are the same price.
Answer:
160 / 7
Step-by-step explanation:
Given,
m∠DOC = ( x - 2 )
m∠BOC = ( 2x - 1 )
m∠BOA = ( 2x + 24 )
m∠DOE = m∠BOC ( from the diagram )
To find : x = ?
m∠DOE, m∠DOC, m∠BOC and m∠BOA are angles in a straight line.
Sum of angles in a straight line is 180,
m∠DOE + m∠DOC +
m∠BOC + m∠BOA = 180
2x - 1 + x - 2 + 2x - 1 + 2x + 24 = 180
2x + x + 2x + 2x - 1 - 2 - 1 + 24 = 180
7x - 4 + 24 = 180
7x + 20 = 180
7x = 180 - 20
7x = 160
x = 160 / 7
I think it should be 3x+3 equals 15
why?
because if x=4, then 3 times 4 equals 12. plus 3.equals 15
I hoped. it helps :)