Question

Find the positive value of m for which the distance between the pointsA(5,-3) and B (13,m ) is 10

Answer 1

Answer:

Step-by-step explanation:

A(5, -3) B(13, m)

AB=10

√(13-5) 2+(m+3) 2=10

√(8) 2+m2+9+6m=10

√64+m2+9+6m=10

Squaring on both sides

65+m2+9+6m=100

m2+74+6m=100

m2+6m=26

m2+6m-26=0

a=1 b=6 c=-26

D=b2-4ac

D=(6) 2-4(1) (-26)

D=36+64

D=100

x=-b+-√D/2a

x=-6+-√100/2(1)

x=-6+-10/2

x=-6+10/2

x=4/2

x=2

x=-6-10/2

x=-16/2

x=-8