Question
Find the missing coordinate k if the taxicab distance between (-7, 10) and (k, 5) is 8.
Hint:
For points A = (a, b) and B = (c, d)
The taxicab distance is given by dtaxi(A, B) = |a − c| + |b − d|.
The correct answer is: The values of k can be – 10 or – 4.
It is given that the taxicab distance between (-7, 10) and (k, 5) is 8.
Using formula: dtaxi = |a − c| + |b − d|
8 = |– 7 − k| + |10 − 5|
8 = |– 7 − k| + 5
|– 7 − k| = 3
Opening the modulus
– 7 − k
– 7 − k = 3 or – 7 − k = – 3
k = – 10 or k = – 4
Final Answer:
The values of k can be – 10 or – 4.
Opening the modulus
Final Answer:
The values of k can be – 10 or – 4.
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