Question #41652

suppose point j has coordinate of -2 and jk=4 then what is the possible coordinate(s) for k? a)4, b)2 or -4, c)-4, d) 2 or -6

Expert's answer

Answer on Question # 41652– Math - Geometry

Suppose point jj has coordinate of -2 and jk=4jk = 4 then what is the possible coordinate(s) for kk? a) 4, b) 2 or -4, c) -4, d) 2 or -6

Solution:

Since, jk=jkjk = |j - k|, then


2k=4,2+k=42+k=4or2+k=4k=2ork=6.\begin{array}{l} | - 2 - k | = 4, \\ | 2 + k | = 4 \\ 2 + k = 4 \quad \text{or} \quad 2 + k = -4 \\ k = 2 \quad \text{or} \quad k = -6. \end{array}


Answer: d) 2 or -6.

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