Question

find value of a if distance
between the point A(-3, -14), B
(a , -5) is 9 units
​

Answer 1

Step-by-step explanation:

AB = 9

$\sqrt{ {(a + 3)}^{2} + {( - 5 + 14)}^{2} } = 9 \\ squaring \: both \: sides \\ {(a + 3)}^{2} + {9}^{2} = {9}^{2} \\ {(a + 3)}^{2} = 0 \\ a = - 3$