Question

Write an expression using subtraction to find the distance between skydivers A and B.

Show your work and solve for the distance using additive inverses

Answer 1

Would this be y=-2.5 t+ x= .5?

Answer 2

Distance would be -2

Answer 3

distance can't be negative
(you can't walk -2 miles)

Answer 4

you have 2 distances here
one distance is from -2.5 to 0 -- that can be written as |-2.5 + 0|
and the other distance is from 0 to 0.5 -- that can be written as |0.5 + 0|

Answer 5

you are using an absolute value...

Answer 6

I can show why this is so, on a different example:
Imagine you are to find a distance from \(\large\color{black}{ \displaystyle-4}\) to \(\large\color{black}{ \displaystyle 7 }\) .

and you do this on such a numberline

Answer 7

the distance between these two points is:

\(\large\color{black}{ \displaystyle \sqrt{(-4-7)^2+(0-0)^2} }\)

Answer 8

that simplifies to
\(\large\color{black}{ \displaystyle \sqrt{(-4-7)^2} }\)

Answer 9

Thanks . I have to draw a number line to complete the question?

Answer 10

and that is just
\(\large\color{black}{ \displaystyle|-4-7| }\)

Answer 11

or, just |-13|
which is finally, 13.

Answer 12

using the fact that absolute value of A i.e. |A|
is defined as \(\large\color{black}{ \displaystyle \sqrt{(A)^2} }\)

Answer 13

rate this from 0 (not at all) to 10 (perfect) .

Answer 14

yes, you can draw a numberline, or you can just do it off your head...

Answer 15

From A to B

Distance: |A-B|

Answer 16

(assuming we are on same horizontal line)

Answer 17

additive inverse would to 2.5-.5?

Answer 18

that expression would be giving you distance from 0 to 2, OR 0.5 to 2.5 OR -0.5 to -2.5