Maintaining Mathematical Proficiency
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Recall the Midpoint and the Distance Formulas.
Midpoint: M(7/2,-1)
Distance: about 9.2 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 ( -1,-2) & ( 8,0)
Add terms
Calculate quotient
The midpoint is located at ( 72,-1).
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, U(-1,-2) and V(8,0), into this formula and simplify.
Substitute ( -1,-2) & ( 8,0)
a-(- b)=a+b
Calculate power
Add terms
Use a calculator
The distance between U and V is sqrt(85), which is approximately 9.2 units.