Step-by-step explanation:
B(-2,3)
C(1,0)
F(-1,-2)
E(0,-4)
here,
2x-6y= -12
2(x-3y)= -12
x-3y = -6...........eq1
x+2y=14............eq2
we can subtract the above two given equations
we get,

___________

so,
y=4
now to find the value of x we have to substitute the value of y in any of the above two equations, I choose eq2
we get,

<h3>so,</h3><h3> x=6,y=4</h3>
Photic zone: seaweeds and corals live here
aphotic zone: mid-ocean level where no light reaches
deep ocean floor: animals that glow are found here
Hope this helped!
Answer:
The answer is 48 units³
Step-by-step explanation:
If we simply draw out the region on the x-y plane enclosed between these lines we realize that,if we evaluate the integral the limits all in all cannot be constants since one side of the triangular region is slanted whose equation is given by y=x. So the one of the limit of one of the integrals in the double integral we need to evaluate must be a variable. We choose x part of the integral to have a variable limit, we could well have chosen y's limits as non constant, but it wouldn't make any difference. So the double integral we need to evaluate is given by,

Please note that the order of integration is very important here.We cannot evaluate an integral with variable limit last, we have to evaluate it first.after performing the elementary x integral we get,

After performing the elementary y integral we obtain the desired volume as below,
