SOLUTION: a plane is at X(5,-2) and it has to travel to either Y(-2,6) or Z(9,8). which point is closer? by how much? round to the nearest tenth

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Question 1010770: a plane is at X(5,-2) and it has to travel to either Y(-2,6) or Z(9,8). which point is closer? by how much? round to the nearest tenth
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
a plane is at X(5,-2) and it has to travel to either Y(-2,6) or Z(9,8)
to find out which point is closer, find the distance XY and XZ

Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%28-2-5%29%5E2+%2B+%286--2%29%5E2%29=+10.6301458127346+


For more on this concept, refer to Distance formula.


Solved by pluggable solver: Distance Formula to determine length on coordinate plane
The distance (d) between two points is given by the following formula:

d=sqrt%28%28x2-x1%29%5E2+%2B+%28y2-y1%29%5E2%29

Thus in our case, the required distance is
d=sqrt%28%289-5%29%5E2+%2B+%288--2%29%5E2%29=+10.770329614269+


For more on this concept, refer to Distance formula.


the distance XY=10.6
and the distance XZ=10.8
shorter is the distance XY=10.6 by 0.2