Step-by-step explanation:
General equation of the circle with center (h,k) and radius r,
(x-h)²+(y-k)²=r²
Therefore, on comparison
center ( 4, -2)
radius r= 4√2
Answer:
Answers are below
Step-by-step explanation:
Step 1: Graph the function
Step 2: Identify the type of function. This can be done by looking the exponents
Step 3: Since the exponent is 3, the function is not linear, but instead a cubic function.
I graphed this equation below.
If this answer is correct, please make me Brainliest.
Answer as a compound inequality: 
Answer in interval notation: [-4, 2)
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Explanation:
The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.
The lowest point occurs when y = -4. We include this value. So far we have
which is the same as 
The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that 
Combine
and
to get the compound inequality 
This says y is between -4 and 2, including -4 but excluding 2.
To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.
Step-by-step explanation:
Let's make the number we're finding to be
. So, it says that it will be divided by 4 and then added by 12 if we want this in algebraic expression it will be
. It's also telling us that that expression is the same thing as our number divided by 3 and subtracted by 5. If we want an expression out of it it well be
. Since they are the same, we have the equation below.

All we have to do now is to find
.

<h3>Answer:</h3>
Our number must be
. I think
Answer:
The answer to this question is x=3
Step-by-step explanation:
If you create the graph and then plot the points you will get a depiction of the trapazoids. using this you will find that they have reflected over the x=3 line.