Answer:
Step-by-step explanation:
The segment addition theorem tells you ...
CD +DE = CE
x^2 +12x = 32 -2x
Subtract the right side to put this in standard form.
x^2 +14x -32 = 0
(x +16)(x -2) = 0
x = -16 or 2
In order for DE to have a positive length, we must have x > 0. So ...
CD = x^2 = 2^2 = 4
DE = 12x = 12(2) = 24
CE = 32 -2x = 32 -2(2) = 28
The answer in binary is 10
Answer:
100 tickets were sold.
Step-by-step explanation:
If she bought 20 tickets and had a 20 percent chance of winning that means there were 100 sold tickets because 20 percent of 100 would be the 20 tickets she purchased.
Answer:
44
Step-by-step explanation:
The absolute value symbols turn any negative inside of them to a positive, so your expression is ...
2 + 4·3 +5·7 +1 -6
= 2 +12 +35 +1 -6
= 44