Line segments jk and jl in the xy-coordinate plane both have a common endpoint j (-4,11) and midpoints an m1 (2,16) and m2 (-3,5) respectively. what is the distance between m1 and m2? round to the nearest tenth

12.1  

Step-by-step explanation:

The dashed line joining M₁ and M₂ is the hypotenuse of a right triangle as shown in red below.

The base of the triangle is

x₂ - x₁ = 2 - (-3) = 2+ 3 = 5

The height of the triangle is

y₂ - y₁ = 16 - 5 = 11

We can now use Pythagoras' theorem to calculate distance between the two midpoints.

x² = 5² + 11² = 25 + 121 = 146

x = √146 = 12.1

The distance between M₁ and M₂ is 12.1.

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step-by-step explanation:

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