Question

Question #3dac0

Answer 1

`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`

Answer 2

Lets just visualise this on a graph.

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

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