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Law Incorporation [45]
3 years ago
10

Complete the table below using the Midpoint and Distance Formulas.

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
5 0

Answer:

Coordinates of M = (2, -1)

Length of AB = 10 units

Step-by-step explanation:

Coordinates of the midpoint (M) of the distance between A(2, 4) and B(2, -6)

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Let A(2, 4) = (x_1, y_1)

B(2, -6) = (x_2, y_2)

Thus:

M(\frac{2 + 2}{2}, \frac{4 +(-6)}{2})

M(\frac{4}{2}, \frac{-2}{2})

M(2, -1)

Length of AB:

Distance between A(2, 4) and B(2, -6):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

A(2, 4) = (x_1, y_1)

B(2, -6) = (x_2, y_2)

AB = \sqrt{(2 - 2)^2 + (-6 - 4)^2}

AB = \sqrt{(0)^2 + (-10)^2}

AB = \sqrt{0 + 100} = \sqrt{100}

AB = 10

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