what expressions represent the distance between -3 and 4 on the number line

Answer:

[tex]\\A. |4+3|\ , E. |-4-3|[/tex]

Step-by-step explanation:

[tex]We\ know\ that,\\Distance\ between\ two\ points\ on\ the\ graph= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Here,\\Point\ 1=(-3,0)\\Point\ 2=(4,0)\\Hence,\\Distance\ between\ Point\ 1\ and\ 2\ =\sqrt{(4-(-3))^2+(0-0)^2}\\ Hence,\\Distance\ between\ Point\ 1\ and\ 2\ =\sqrt{(4-(-3))^2}\\Distance\ between\ Point\ 1\ and\ 2\ =(4-(-3)\\=4+3\\As\ |-4-3|\ and\ |4+3|\ are\ absolute, they\ can\ be\ additively\ equal\ to\ each\ other.\\Hence,\\|-4-3|=|4+3|[/tex]

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