Question #3dac0

2 Answers
Jan 16, 2018

#8#

Explanation:

#"calculate the distance using the "color(blue)"distance formula"#

#color(red)(bar(ul(|color(white)(2/2)color(black)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2))color(white)(2/2)|)))#

#"let "(x_1,y_1)=(4,5)" and "(x_2,y_2)=(4,-3)#

#d=sqrt((4-4)^2+(-3-5)^2)#

#color(white)(d)=sqrt(0^2+8^2)=sqrt64=8#

#"note that the x-coordinates of the 2 points are 4"#

#"thus this is a vertical line and the distance between the"#

#"2 points is the difference of the y-coordinates"#

#rArrd=5-(-3)=5+3=8#

Jan 17, 2018

Lets just visualise this on a graph.

Desmos. I plotted the equation myself (i'm proud of me)

Since our x value is the same all the way through, the distance is the difference in the y-values.

#:. "Distance"=5-(-3)#
#=8#