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
a/5 + 6 = 10
Subtract 6 from both sides:
a/5 = 4
multiply both sides by 5:
a = 20
Height:shadow
so 3.5:1.06 and is the same as 50.5:x
we treat it as a fraction and get
3.5/1.06 and x/50.5
they should be equal
we know that if we multiply two equal fractions, with one flipped, then we will get 1 exg 1/2=4/8 1/2 times 8/4=8/8=1
so 3.5/1.06=x/50.5 3.5/1.06 times 50.5/x=1
176.75/1.06x=1
multiply both sides by 1.06x
176.75=1.06x
divide both sides by 1.06
166.745=x
round up to hundreds place
166.75m=accutal height
