Plot the points A(9, 11) and B(–3, –5). Find midpoint M of AB. Then show that AM = MB and AM + MB =AB

The midpoint is (3, 3).

Step-by-step explanation:

We are given the two points A(9, 11) and B(-3, -5).

The midpoint is given by:

So:

The midpoint is (3, 3).

We want to show that AM = MB.

We can use the distance formula:

The distance between A(9, 11) and M(3, 3) will then be:

And the distance between B(-3, -5) and M(3, 3) will be:

So, AM = MB = 10.

Since AM = MB = 10, AM + MB = 10 + 10 = 20.

So, we want to prove that AB = 20.

By the distance formula:

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step-by-step explanation:

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