A(0, 3) B(k, o) and AB = 5 find k ​

Question

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

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Hailey 1 month 2021-10-22T00:35:18+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-22T00:37:04+00:00

    Answer:

    k=4

    Step-by-step

    25=K^2+9

    16= K^2

    K=4

    0
    2021-10-22T00:37:17+00:00

    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  

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