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1 year ago

Quiz 1-2: Distance & Midpoint; Partitioning a Segment

Mathematics

1 answer:

nadya68 [22]1 year ago

3 0

The distances between the given pairs of points are:

(-8, -2) and (6, -1); d = 14.04
(-4, 5) and (4,0); d = 9.85

<h3>How to find the distance between two points?</h3>

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

d = √( (x₁ - x₂)^2 - (y₁ - y₂)^2)

1) The first pair of points is (-8, -2) and (6, -1), using the above formula we can see that the distance is:

d = √( (-8 - 6)^2 - (-2 +1)^2) = 14.04

2) The second pair is (-4, 5) and (4,0), and using the distance formula, we get:

d = √( (-4 - 5)^2 - (4 - 0)^2) = 9.85

If you want to learn more about the distance between points:

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Step-by-step explanation:

Given

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$M = (6,1)$ -- Midpoint

Required

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$M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

Where

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$(6,1) = (\frac{4 + x_2}{2},\frac{8+y_2}{2})$

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