Answer:
2x+6y=-2 x is -3y-1 and 5x-3y=31 x is 3y+31/5
Step-by-step explanation:
5x−3y=31
Add 3y to both sides.
5x=31+3y
The equation is in standard form.
5x=3y+31
Divide both sides by 5.
5
5x
= 5
3y+31
Dividing by 5 undoes the multiplication by 5.
x= 5
3y+31
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
Answer is 80pi
Step by step
To find lateral_area = (2 * π * r) * h
Since it’s in term of pi,
(2 x radius x height) pi
2 x 4 x 6 = 48pi
base_area = 2 * π * r²
Since it’s in terms of pi
(2 x r^2)
(2 x 4^2)
= 32pi
Total surface area in terms of pi = 32+48
= 80pi
Solve for z score:
z(12)=(12-10)/1.5=4/3
then >/ "less than and equal to"
p(x>/12) = p(z>/4/3)=.0912