Question

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

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Answer 1

hope, its will help u

Answer 2

Hi, this is already answered by  

Prmkulk1978 :  https://brainly.in/question/1706575

Answer:

the value of a is -3

Step-by-step explanation:

Distance between two points (x1,y1) ( x2,y2) is :

=√(x2-x1)²+(y2-y1)²

here x1= -2

y1= -14

x2=a

y2=-5

Distance between two points is :

=√[(a+3)²+(-5+14)²] =9

squaring on both sides.

(a+3)²+81=81

(a+3)²=0

(a+3)(a+3)=0

a+3=0

a= -3