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dsp73
3 years ago
14

Find the value of k if the distance between (2,k) and (6,7) is 4√2 unit​

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Answer:

k = 3

Step-by-step explanation:

We have the distance formula: d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}. We can plug in 4\sqrt{2} = d, x2 = 6, x1=2, y2 = 7, y1 = k.

Then, we can solve the question using some algebra to find that k = 3.

Edit: Here is a step by step:

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

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

32 = (4)^2 + (7-k)^2

32 = 16 + (7-k)^2

32 - 16 =  (7-k)^2

16 =  (7-k)^2

\sqrt{16} =  (7-k)

4 = 7-k

k = 3

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