Answer: 
Step-by-step explanation:
Given
Complex number is 
Its conjugate is obtained by changing the sign of the original number i.e. 
The product of the two numbers is
![\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29](https://tex.z-dn.net/?f=%5CRightarrow%20%282-i5%29%282%2Bi5%29%3D2%5E2-%285i%29%5E2%5Cquad%20%5Cquad%20%5B%28x%2By%29%28x-y%29%3Dx%5E2-y%5E2%5D%5C%5C%5C%5C%5CRightarrow%20%282-i5%29%282%2Bi5%29%3D4-25i%5E2%5C%5C%5C%5C%5CRightarrow%20%282-i5%29%282%2Bi5%29%3D4%2B25%3D29)
Answer:
$110
Step-by-step explanation:
We are looking for the decrease in money per desk purchased. Because the x-axis is the number of desks purchased, what we have to find is the (opposite) of the slope. The formula to represent slope can be written as:

We can substitute the points given, (2, 480) and (5, 150) and simplify:

We would multiply by -1 because we are asking for the decrease, and negative increase is decrease. -1 * -110, gives us $110
In equation form it would be the following:
2r + 3s = 13.
I believe.
Knowing that there are two logs on both sides of the brackets, they cancel out.
This leaves:
4y-1=2y+7 (solve for y)
4y-2y=7-1
2y=6
y=3
Hope this helped :)
Answer:
x = 3
Step-by-step explanation:
ΔABC is 45 45 90 right triangle
The ratio of leg: hypo = a : a√2
Given: hypo AC = 6√2; so AB = BC = 6
ΔBCD is 30 60 90 right triangle
The ratio of short leg : long leg : hypo = x : x√3 : 2x
Hypo. BC = 6 = 2 (3)
So short leg BD = x = 3