Find the intercepts for both planes.
Plane 1, <em>x</em> + <em>y</em> + 2<em>z</em> = 2:
Plane 2, 4<em>x</em> + 4<em>y</em> + <em>z</em> = 8:
Both planes share the same <em>x</em>- and <em>y</em>-intercepts, but the second plane's <em>z</em>-intercept is higher, so Plane 2 acts as the roof of the bounded region.
Meanwhile, in the (<em>x</em>, <em>y</em>)-plane where <em>z</em> = 0, we see the bounded region projects down to the triangle in the first quadrant with legs <em>x</em> = 0, <em>y</em> = 0, and <em>x</em> + <em>y</em> = 2, or <em>y</em> = 2 - <em>x</em>.
So the volume of the region is
Answer:
A. y = -16
Step-by-step explanation:
Hello!
What we do to one side of the equation we have to do to the other.
y + 7 = -9
We have to get y by itself so we have to get rid of the seven by doing the opposite of what it says
The opposite of addition is subtraction so we subtract 7 from both sides
y + 7 - 7 = -9 - 7
Solve
y + 0 = -16
Simplify
y = -16
The answer is A. y = -16
Hope this helps!
Answer:
70%
Step-by-step explanation:
What I did was,I counted by tens on my fingers until I got to 60 and I added 7 to that and I rounded It to the nearest whole percent which was 70 because,It was closest to 67.
3180 because you divide 31800 by 10
1,600 vases must be produced and sold to break even.
x($28-$11)=$27,200
Simplify to 17x=27,200
Divide 17x by 17 so it cancels out.
What you do to one side of the equation you have to do to the other.
27,200/17=1,600
x=1,600