Question

The value of ‘a’, if the distance between the points A(-3, -14) and B(a, -5) is 9 units

Answer 1

Answer:

a= -3

Step-by-step explanation:

9 = √{(a-(-3))^2 + (-5 -(-14))^2}

apply square on both side

9^2 = (√{(a-(-3))^2 + (-5 -(-14))^2})^2

81 = (a+3)^2 + (-5 + 14)^2

81 = (a+3)^2 + 9^2

81 - 81 = ( a+3)^2

0 = ( a+3)^2

apply square root on both side

0 = ( a+3)

a= -3