Answer:
volume of the solid = 
Step-by-step explanation:
As given , the region : |x| + |y|
1
when y
0 ,
|x| + y = 1
⇒|x| = 1 - y
when y ≤ 0 ,
|x| - y = 1
⇒|x| = 1 + y
The given region is the rectangle with sides (0, 5) , (0, -5), (5, 0), (-5, 0)
As given , the vertical cross section are semicircle
As we know that the area of semi circle = 

Now,
Volume =
+ 
=
- 
=
[1-0] -
[0-1]
= 
⇒volume of the solid = 
Answer:
there were 200 children and 500 adults at the show
Step-by-step explanation:
7x+10y=6400
x+y=700
x=700-y
7(700-y)+10y=6400
4900-7y+10y=6400
-7y+10y=1500
3y=1500
y=500
x=700-y
x=700-500
x=200
The ordered pair that represents a maximum is (5,189)
Hope this helps I got (-1, 7)
Answer:
A and D
Step-by-step explanation:
Moving the line left would be moving it onto the y - axis
Therefore the solution would be any point that starts with 0
So (0, 1), (0, 2), (0, -9), etc.