Question

If the distance between the points (−2, 1) and (m, 4), where m is positive, is units, then what is the value of m?

Answer 1

Answer:

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Step-by-step explanation:

We have,

A(5, - 3) and B(13, m)

By condition,

➡️ [(x2 - x1)^2 + (y2 - y1)^2]^1/2 = 10

Or, [(13 - 5)^2 + (m + 3)^2] = 10^2

Or, (8)^2 + (m + 3)^2 = 100

Or, (m + 3)^2 = 100 - 64 = 36

Or, m + 3 = 6

Or, m = 6 - 3 = 3.

➡️  Hence, the positive value of m is 3.