A cross-section is the shape that would be exposed when cutting straight through a 3-D object. for example, cutting horizontally through a regular cone would expose a circle.
an intersection is where 2 or more shapes (does not matter how many dimensions) overlap. for example, the point at which two lines overlap is the intersection. or the area that two overlapping circles share is the intersection.
Answer:
{-6, -2, 3, 4} is the domain of the following functions
v varies directly with height means
v/h=k were k is a constant
or also h/v=k where k is a constant (this is a different k than previous)
so if h=12 and v=300 then
h/v=12/300=1/25=k
so the relationhip could be h/v=1/25
if you di v/h, then
v/h=300/12=25/1=25=k
so the relationship could be v/h=25
Because you're trying to make them congruent, equal the two expressions to each other.
So, for #10 you would equal them so it would look like this.
2x+2=5x-19
Then you would just go ahead and simplify
2x+2=5x-19
-2x -2x
---------------
2= 3x -19
+19 +19
---------------
21=3x
--- ----
3 3
x=7
This means that x should be 7. You can check this just by plugging it in
2x+2
2(7)+2 = 16
5x-19
5(7)-19= 16
Same with #11.
x+8=3x-14
-x -x
--------------
8=2x-14
+14 +14
--------------
22=2x
--- ----
2 2
x=11
Check.
x+8
11+8= 19
3x-14
3(11) - 14 = 19
