Answer:
{
}
The number line is attached.
Step-by-step explanation:
By definition Set-builder notation is a mathematical shorthand used to provide specific details about a set.
In this case, you have the following interval:
![(-6,2]](https://tex.z-dn.net/?f=%28-6%2C2%5D)
You can obsseve that the left hand contains a parentheses, which means that -6 it is not included, then:
The right hand contains a bracket, which means that 2 is included:
The inequality is:
Therefore, in Set-builder notation this is:
{}
Observe the number line attached. Since -6 is not included, you must use an unfilled circle. Since 2 is included, you must use a filled circle.
Add your bottoms in a cross pattern
Cone Volume = (PI * radius^2 * height) / 3
3 = (PI * radius^2* x) / 3
radius^2 = 9 / (PI * x)
radius = square root (9 / (PI * x))
Step-by-step explanation:
8y+17°=6x+7° (vertical opposite angle)
6x+7=3x-29. (interior angle on same side)
3x=-36
x=-12°
B=C
-72+7=-36-29
-65=-65
An= mth term.
an=a₁+(n-1)*d
a₁₂=41
a₁₅=140
a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d
a₁+11d=41 (1)
a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d
a₁+14d=140 (2)
With the equiations (1) and (2) build a system of equations
a₁+11d=41
a₁+14d=140
we solve it.
-(a₁+11d=41)
a₁+14d=140
--------------------
3d=99 ⇒d=99/3=33
a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322
an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n
an=-355+33n
To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
