# Math Help - Needing help with these problems

1. ## Needing help with these problems

Hello,

I need help with these problems please.

I did the following, please check to ensure they are correct.

Find the distance between A(-3,3) and B(-6,5) using the distance formula.

d= (-6--3)2+(5-3)2

d= (-6+3) 2+(5-3)2

d= (-3)2+(2)2

d= (9) +(4)

d= 14 == 3.741

Find the distance between A (-4,2) and B (-6,4) using the Pythagorean Theorem. Use graph paper.

Also

Find the coordinates of the midpoint of segment QR having the endpoints:

Q (-.4, 2.5) R (3.5, 1.5)

Thank you,

Siobhan

2. well, your distance equation is right.

and to use the pythag. Theorm, you just draw a right triangle with those two points, and solve for the hypotenuse, because you have the 2 legs.

The line that connects the two points is the hypotenuse. Then just make a right triangle with that.

To find the midpoint, you take the average of the 2 x coordinates and the 2 y coordinates, and combine those 2 averages, to make 1 ordered pair.

So:

$-0.4+3.5=3.1$

$3.1/2=1.55$

So the X coordinate of the midpoint will be 1.55

$2.5+1.5=4$

$4/2=2$

So the Y coordinate of the midpoint will be 2

So the midpoint will be: $(1.55,2)$

3. Thanks, you rawk!