Question

If the distance between A(4,k) and B(7,6) is 6 units then find the value of k

Answer 1

Answer:

Step-by-step explanation:

Applying distance formula,

$d=\sqrt{(x1^{2}-x2^{2})+(y1^{2}-y2^{2})}$

$d=\sqrt{(4-7)^2+(k-6)^2}=6$

$9+(k-6)^2=36\\(k-6)^2=27\\k^2-12k+36=27\\k^2-12k+9=0\\k=6+3\sqrt{3}\\or\\k=6-3\sqrt{3}$

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Answer 2

Step-by-step explanation:

hope it helps u.........