Answer:
AB = 12
Step-by-step explanation:
Segment addition postulate,
AC = AB + BC
24 = 2x+6+5x-3
Adding the like terms,
7x+3 = 24
Subtract 3 from both sides,
7x = 24-3
7x = 21
Divide by 7,
x = 21/7
x = 3
AB = 2x+6
AB = 2*3 + 6
AB = 6 + 6
B and C
2/3 = 6/9
and
1/2 = 4/8
y = 2/5 x - 9/5
when x = -1,
the value of y = 2/5(-1) - 9/5
= -2/5 - 9/5 = -11/5
when x = 0
=> y = 2/5(0) -9/5
= 0-9/5 = -9/5
when x=1
=> y = 2/5(1) - 9/5
= 2/5 - 9/5 = 7/5
(-3,0)
2x-3+0=-6
