47 -14i
You can work this out in the straight-forward way, or you can recognize that (6-i) is a common factor. In the latter case, you have ...
... = (6-i)(5 + 3-i)
... = (6 -i)(8 -i)
This product of binomials is found in the usual way. Each term of one factor is multiplied by each term of the other factor and the results summed. Of course, i = √-1, so i² = -1.
... = 6·8 -6i -8i +i²
... = 48 -14i -1
... =
_____
A suitable graphing calculator will work these complex number problems easily.
X= 11
If you plug in 1 for X in the equation, you will get:
f(x) =3+8
3+8=11
Hope this helps.
Answer:
w = 
Step-by-step explanation:
p = 2l + 2w Subtract 2l from both sides of the equation
p - 2l = 2p Divide both sides by 2
= w
7.
The point-slope form of the equation of a line is
y - y1 = m(x - x1)
where m is the slope, and (x1, y1) is a point on the line.
We are given two points, so we can find the slope.
slope = m = (y2 - y1)/(x2 - x1)
The slope of this line is
m = (-3 - 7)/(5 - (-15)) = -10/20 = -1/2
Since every choice has a 7 and a 15, we now use point (-15, 7) and slope -1/2.
y - y1 = m(x - x1)
y - 7 = -1/2(x - (-15))
y - 7 = -1/2(x + 15)
