What is the distance between (10,0) and (-4,0)?

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Answer 1 · 2016-03-16T20:20:42

#14#

#(10,0)# and #(-4,0)# are both points on the X-axis.

#(10,0)# is #10# units to the right of the Y-axis, and
#(-4,0)# is #4# units to the left of the Y-axis.

Therefore the points are #14# units apart.

Answer 2 · 2016-03-17T12:35:55

#14#

We can say that these are #14# units apart because, they lie on the #x-ax##is#

(or)

#color(brown)(Dista##color(brown)(nce=sqrt((x_2-x_1)^2+(y_2-y_1)^2)#

Where (in this case)

#color(red)(x_1=10,x_2=-4,y_1=0,y_2=0#

Substitute the values in the formula

#rarrsqrt((-4-10)^2+(0-0)^2)#

#rarrsqrt((-14)^2+(0)^2)#

#color(green)(rArrsqrt(196)=14#