Question

The value of K if the distance between (2, K),
and (1,7) is 5 is​

Answer 1

Answer:

Use distance formula

Step-by-step explanation:

AB = √(X2 -X1)² + (Y2 - Y1)²

Answer 2

$\huge \fbox \red{Answer}$

Given:

Distance between (2,k) and (1,7) is 5.

To Find:

Value of k

Solution:

$5 = \sqrt{ {(1 - 2)}^{2} + {(7 - k)}^{2} }$

$5 = \sqrt{ {( - 1)}^{2} + 49 - 14k + {k}^{2} }$

$5 = \sqrt{1 + 49 - 14k + {k}^{2} }$

$5 = \sqrt{50 - 14k + {k}^{2} }$

${(5)}^{2} = 50 - 14k + {k}^{2}$

${k}^{2} - 14k + 50 - 25 = 0$

${k}^{2} - 14k + 25 = 0$

By using Quadratic Formula, we get

$k = \frac{ - 14 \: ± \: 4 \sqrt{6} }{50}$