Question

A(0, 3) B(k, o) and AB = 5 find k
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Answer 1

Answer:

k=4

Step-by-step

25=K^2+9

16= K^2

K=4

Answer 2

Answer:

±4

Step-by-step explanation:

 Using distance formula :

$\mathrm{ \sqrt{ (x_1 - x_2)^2 + ( y_1 - y_2)^2 }= distance \:between\: (x_1,y_1) \:and\: (x_2,y_2) }$

Hence here,

 $\implies \sqrt{(0-k)^2 + ( 3-0)^2 }= 5\\\\\implies k^2 + 3^2 = 5^2\\\\\implies k^2 = 5^2 - 3^2\\\\\implies k^2 = 25 - 9 \\\\\implies k^2 =16 \\\\\implies k = \pm 4$