Question

Full explanation please. If answers correct, will mark Brainlist :)

Answer 1

Answer:

$21.47\ units$

Step-by-step explanation:

Step 1:  Determine where the points lie on the graph

Point #1 is seen to be in the second quadrant.  Looking more into where the point lies we can see that it crosses -7 on the x-axis and 6 on the positive y-axis.

Point #2 is seen to be in the fourth quadrant.  After viewing the point a bit more we can see that the x-value is 12 and the y-value has been moved down to -4.

Step 2:  Determine the distance between the points

$Distance\ formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d =\sqrt{((12)-(-7))^2+((-4)-(6))^2}$

$d=\sqrt{(12+7)^2+(-4-6)^2}$

$d=\sqrt{(19)^2+(-10)^2}$

$d=\sqrt{361+100}$

$d=\sqrt{461}$

$d = 21.47$

Answer: $21.47\ units$