Question

PLEASE PLEASE PLEASE HELP! Please explain step by step!! Please please I'll give enough points!

Answer 1

1)
The distance between points A and B is;
$d= \sqrt{(x2-x1)^{2} + (y2-y1)^{2} } \\ d= \sqrt{(1-5)^{2} +(12+8)^{2}}\\ d= \sqrt{(-4)^{2} + (20)^{2}}\\ d=\sqrt{16+400}\\ d=\sqrt{416}\\ d=4\sqrt{26}$, 
and if you wanted to you could measure out the legs of that hypotenuse using the slope between A and B, but I'm going to show you the easier way;
Δx = 4
Δy = -20
So from the midpoint, add 4 to the x-value and subract 20 from the y-value.
{(5+4),(-8-20)}
(9,-28) is the endpoint.

2)
Do the same thing as I did above;
$d= \sqrt{(x2-x1)^{2} + (y2-y1)^{2} } \\ d= \sqrt{(5-(-3))^{2} +(5-(-4))^{2}}\\ d=\sqrt{(5+8)^{2}+(5+4)^{2}}\\ d=\sqrt{(13)^{2}+(9)^{2}}\\ d=\sqrt{169+81}\\ d=\sqrt{250}\\ d=5\sqrt{10}$
So $5\sqrt{10}$ is the distance.

Sorry for the delay, life delayed me a ton ,:D