Answer:
Domain = (
-∞,∞), {x|x ∈ R}
Range (-∞,2], {y|y ≤ 2}
Vertex (h,k) = (6,2)
Step-by-step explanation:
(Domain / Range) The absolute value expression has a V shape. The range of a negative absolute value expression starts at its vertex and extends to negative infinity.
(Vertex) To find the x coordinate of the vertex, set the inside of the absolute value
x − 6 equal to 0 . In this case, x − 6 = 0 .
x−6=0
Add 6 to both sides of the equation.
x=6
Replace the variable x with 6 in the expression.
y=−1/3⋅|(6)−6|+2
Simplify−1/3⋅|(6)−6|+2.
y=2
The absolute value vertex is ( 6 , 2 ) .
(6,2)
Hope this helps
180-2(55)-x=0
180-110-x=0
70-x=0
-x=-70
x=70°
Answer:
10.9375
Step-by-step explanation:
brainllest
Answer:
The length of one side is 13 feet.
Step-by-step explanation:
To start, a square is 4 sides that are equal in length. This means that when you have a problem like this, you need to set the equations equal to each other like:

In order to solve a problem like this, with the same variables on different sides, start by subtracting the smaller variable from both sides. In this case, you would be subtracting 2x from both sides, which would leave us with:

After that, you solve it like a normal one-step equation. Add 11 to both sides.
Now, divide both sides by 4 and you will know how much
is worth.

Now that we know how much
is worth, we can plug that into either of the equations given to us. It doesn't matter which since they are equal to each other.

That would give us 13.
An expression must contain a variable
The equation y-4=1 has many solution(s).