Question

Which expression could help you find the distance between (10,4) and (-6,4) ?

A. |10| + |-4|
B. |10| = |4|
C. |-6| + |4|
D. |10| + |-6|

Answer 1

Option D. |10| + |-6|

Explanation:

we know that

the formula to calculate the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

we have

(10,4) and (-6,4)

substitute

`d=\sqrt{(4-4)^(2)+(-6-10)^(2)}`

`d=\sqrt{(0)^(2)+(-16)^(2)}`

`d=16\ units`

therefore

The expression that could help to find the distance is

`|10| + |-6|=10+6=16\ units`