Answered

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15. If the endpoints of a diameter of a circle are (2, -1) and (4, 0), what is the y
coordinate of the center of the circle?

Sagot :

varshamittal029

Y = -0.5

The center point of a straight line can be located using the midpoint formula. You may occasionally need to determine the difference between two specific numbers. For that, you find the average of the two numbers. In a similar way, we obtain the halfway number (or point) between two coordinates using the midpoint formula in coordinate geometry

Let the midpoint of (x₁ ,x₂ ) and (y₁ , y₂) is (x ,y)

x,y = ( x₁ + x₂)/2 , (y₁ +y₂)/2

Since radius is half of the diameter, we need to find the findthe midpoint of the diameter

Using midpoint formula,

y  = (y₁ + y₂)/2

   = (0 + (-1))/2

    = -0.5

To learn more about midpoint theorem, refer to https://brainly.com/question/5566419

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