Find the distance between the points ( - 9, - 12) and (18, - 12)

Mathematics

1 answer:

ANTONII [103]3 years ago

4 0

Hello from MrBillDoesMath!

Answer:

Discussion:

By the distance formula (or Pythagorean theorem)

distance = sqrt ( (change in x)^2 + (change in y)^2)

In our case this becomes

distance = sqrt ( (18 - (-9) )^2 + (-12 - ( -12))^2)

= sqrt ( ( 18 + 9) ^2 + ( -12 + 12) ^ 2)

= sqrt ( ( 18 + 9) ^2 + 0^2 )

= sqrt ( 27^2)

= 27

Geometrically, as both y coordinates = -12, the points define a horizontal line segment. The length is then simply the difference of the x coordinates, 18 - (-9) = 18 +9 = 27. Same answer as before

Thank you,

MrB

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