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Please help if possible, there is a graph, and then an A and B question, please answer both.

Please help if possible, there is a graph, and then an A and B question, please answer-example-1
Please help if possible, there is a graph, and then an A and B question, please answer-example-1
Please help if possible, there is a graph, and then an A and B question, please answer-example-2
User Mikespook
by
8.4k points

1 Answer

4 votes

Part A

we have the equation

(x-13)^2+(y-4)^2=16

Rewrite as

(x-13)^2+(y-4)^2=4^2

so

The center of the circle is the point (13,4)

The radius of the circle is 4 units

using a graphing tool

Part B

Remember that

If an ordered pair lies on the circle, then the ordered pair must satisfy the equation of the circle

so

Verify each ordered pair

Hunter (11,4)

For x=11 and y=4

substitute in the equation of the circle


\begin{gathered} \left(11-13\right)^2+\left(4-4\right)^2=16 \\ -2^2+0^2=16 \\ 4=16 \end{gathered}

Is not true

so

Hunter is not in the spotlight

Joe (8,5)

x=8 and y=5


\begin{gathered} (8-13)^2+(5-4)^2=16 \\ -5^2+1=16 \\ 26=16 \end{gathered}

Is not true

so

Joe is not in the spotlight

Mason (15,5)

x=15 and y=5


\begin{gathered} (15-13)^2+(5-4)^2=16 \\ 2^2+1^2=16 \\ 5=16 \end{gathered}

Is not true

Mason is not in the spotlight

Please help if possible, there is a graph, and then an A and B question, please answer-example-1
User GS Nayma
by
8.2k points

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