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Find the distance between the points R(0,5) and S(12,3). Round the answer to the nearest tenth.

A10.4
B16
C12.2
D11.8

An airplane at T(80,20) needs to fly to both U(20,60) and V(110,85). What is the shortest possible distance for the trip?

A165 units
B170 units
C97 units
D169 units

Verified Answer :

meerkat18
  1. The distance formula given two points is, 
                                 d = sqrt ((x2 - x1)² + (y2 - y1)²)
    Substituting the given values,
                                d = sqrt ((12 - 0)² + (3 - 5)²) = 12.17 or aproximately 12.2

    2. Calculate the distance between points T and U and from U to V
       ( T to U)           d = sqrt ((20 - 80)² + (60 - 20)²) = 72.11
       (U to V)            d = sqrt ((110 - 20)² + (85 - 60)²) = 93.41

    Adding this distances gives an answer of approximately equal to 165.52. The answer is letter A.

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