Question

Plzz answer will mark brainleist!!(coordinate geometry) If the distance between (-5,6) and (-7,k) is 13 units then the value of -k is

Answer 1

distance between two points is equal to

$\sqrt{ {( - 7 - ( - 5))}^{2} + {(k - 6)}^{2} } = 13 \\ { ( - 2)}^{2} + {(k - 6) }^{2} = 169 \\ {(k - 6)}^{2} = 169 - 4 = 165 \\ k - 6 = \sqrt{165} \\ - k = - 6 - \sqrt{165}$
-k = -6 -(+ or - 12.85)

-k = -18.85 ; k = 18.85
-k = 6.85. ; k = -6.85

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