<h3>
Answer: 5 - 4i (choice A)</h3>
===================================================
Work Shown:
x = the other number
(5+4i)*x = 41
x = 41/(5+4i)
x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below
x = 41*(5-4i)/( 41 )
x = (41/41)*(5-4i)
x = 5 - 4i
As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41
The rule used is (a-bi)(a+bi) = a^2 + b^2
-----------
Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.
Answer:
y = 4/6x - 4
Step-by-step explanation:
y = mx + b, m = slope and b = y intercept
Rise over run
Rise = +4
Run = +6
This means the slope is 4/6.
The y intercept is at -4.
Now, plug in the numbers for y = mx + b
y = 4/6x - 4
It will be D. because you have to add the like terms which is 13 + 5 which will be 18 and so 10p doesn't have no like terms it just stays the same so it will be 10p+18
