Answer:
(a) 16-2x
(b)-x-2 or x+6
(c)
Step-by-step explanation:
(a)
|6-x|+|x-10|,
|4-x|=4-x,so x<4
|2-x|=x-2=-(2-x)
2-x<0
2<x
or x>2
2<x<4
so |6-x|=6-x,in 2<x<4
|x-10|=-(x-10),in 2<x<4
|6-x|+|x-10|=6-x-(x-10)=6-x-x+10=16-2x
(b)
2-|2-|x-2||,if x<-2
|x-2|=-(x-2) if x<-2
=2-|2-{-(x-2)}|
=2-|2+x+2|
x<-2
x+2<0
=2-|x+4|
=2-(x+4),if x>-4,or -4<x<-2
=2-x-4
=-x-2
if x<-4
then |x+4|=-(x+4)
2-|x+4|=2-{-(x+4)}
=2+x+4
=x+6
Paralell lines have the same slope
perpendicular lines have slopes that multiply to get -1
neither is niegher
so
y=mx+b
m=slope
x=y+2
minus 2
x-2=y
y=x-2
y=1x-2
slope is 1
y=x+3
y=1x+3
1=1
they are paralell
Y= y1
replace the y1 with the ordinate ( the y-part) of the point you are going thru
example a horizontal line going through the point (7,12) would be y=12
Answer:
S(10)=3*(1-(5/3)^10)/(1-5/3)
Step-by-step explanation:
It is Geometric series with r:
r=5/3=(25/3)/5=5/3
a=3
Sum of G.S. in formula:
S(n)=a(1-r^n)/(1-r)
S(10)=3*(1-(5/3)^10)/(1-5/3)
=246.5725...