Question

Fine k the distance between (-1,3) and (11,k) is 13

Answer 1

Answer:

k=8,-2

Step-by-step explanation:

$\sqrt{(11 + 1 {)}^{2} + {(k - 3)}^{2} } = 13 \\ (1 2 {)}^{2} + {(k - 3)}^{2} = 169 \\ {(k - 3)}^{2} = 169 - 144 \\ {(k - 3)}^{2} = 25 \\ k - 3 = + - 5 \\ k - 3 = 5 \: or \: k - 3 = - 5 \\ k = 5 + 3 \: or \: k = - 5 + 3 \\ k = 8 \: or \: k = - 2$