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Recall the Midpoint and the Distance Formulas.
Midpoint: M(-1/2,-2)
AB≈ 10.8 units
Let's find the coordinates of the midpoint and the distance one at a time.
To find the midpoint M, we can use the Midpoint Formula.
M(x_1+x_2/2,y_1+y_2/2)
Substitute ( -5,1) & ( 4,-5)
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The midpoint is located at (-1/2,-2).
To find the distance between the points, we can use the Distance Formula. d=sqrt((x_2-x_1)^2+(y_2-y_1)^2) Let's substitute the given endpoints, A( -5,1) and B( 4,-5), into this formula and simplify.
Substitute ( -5,1) & ( 4,-5)
a-(- b)=a+b
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The distance between A and B is sqrt(117), which is approximately 10.8 units.