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Find the coordinates of the midpoint M of ST. Then find the distance between points S and T. Round the distance to the nearest
tenth
S(6,-3) and T(7,-2).
The midpoint is M. The distance between S and T is about


Find The Coordinates Of The Midpoint M Of ST Then Find The Distance Between Points S And T Round The Distance To The Nearest Tenth S63 And T72 The Midpoint Is M class=

Sagot :

What is midpoint?

The midpoint between two co-ordinate points is the point between them.

To find the midpoint M between S and T, we use the formula below.

Formula:

  • M = [(x₁+x₂)/2, (y₁+y₂)/2].......... Equation 1

From the question,

Given:

  • x₁ = 6
  • x₂ = 7
  • y₁ = -3
  • y₂ = -2

Substitute these values into equation 1

  • M = [(6+7)/2, (-3-2)/2]
  • M = (13/2, -5/2)

To calculate the distance between S and T, we use the formula below.

Formula:

  • d = √[(x₂-x₁)²+(y₂-y₁)²]............ Equation 2

Substituting into equation 2

  • d = √[(7-6)²+(-2-(-3)]
  • d = √(1+1)
  • d = √2

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