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question 10 of 10 when you move a circle vertically, the number that is…

Question

question 10 of 10 when you move a circle vertically, the number that is part of the x - term changes. a. true b. false

Explanation:

Step1: Recall the standard equation of a circle

The standard equation of a circle is \((x - h)^2+(y - k)^2=r^2\), where \((h,k)\) is the center of the circle and \(r\) is the radius.

Step2: Analyze vertical movement

When a circle is moved vertically, the \(y\) - coordinate of the center changes. That is, the value of \(k\) changes. The \(x\) - term part (\(h\)) remains unchanged. So the statement "When you move a circle vertically, the number that is part of the \(x\) - term changes" is false.

Answer:

B. False