Answer:
Option C -
Step-by-step explanation:
To find : Which of the following expressions represents the distances between -4 and 5 on the number line?
Solution :
According to number line,
<-----------|----|------|----|-----|----|---|----|----|----|-----|----|---------------->
-∞ -5 -4 -3 -2 -1 0 1 2 3 4 5 6 +∞
The distance between -4 and 5 is given by,
Solving the expression,
Therefore, The expression represents the distances between -4 and 5 on the number line is
So, Option C is correct.
D is the answer
|-4-5|=|-9|=9
the distance between -4 and 0 is 4 .....and between 0 and 5 is 5
so the distance will be 4+5=9
y = 2(x - 1)² + 4
y = 2(x² - 2x + 1) + 4
y = 2x² - 4x + 2 + 4
y = 2x² - 4x + 6
1000000000000000
It is 18
18 divided by 2 is 9
'Hope this helps:)