which of the following expressions represents the distances between -4 and 5 on the number line? A.|-4+5| B.|4-5| C.|-5-(-4)| D.

Question

3 years ago

5

|-4-5|

2 answers:

Bas_tet [7] · Answer 1 · 2022-05-28T22:44:13+03:00

Answer:

Option C - $|5-(-4)|$

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,

$d=|5-(-4)|$

Solving the expression,

$d=|5+4|$

$d=|9|$

$d=9$

Therefore, The expression represents the distances between -4 and 5 on the number line is $d=|5-(-4)|$

So, Option C is correct.

katen-ka-za [31] · Answer 2 · 2022-05-29T00:43:42+03:00

katen-ka-za [31]3 years ago

3 0

Answer:

D is the answer

Step-by-step explanation:

|-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