HELP PLEASE WITH MATTTHHHHh???

Question

please help cause i know the answer a little but not the work so much

thanx so much

10 POINTS FOR BEST ANSWER

1. show the midpoint of the hypotenuse of a right triangle with verticies (0,0) (5,0) and (0,7) is equidistant from all three vertices.

2. prove that the midpoint of the hypotenuse of a right triangle is the same distance from each three verticies.

3. let A= (1,3) and B= (9,6). find the coordinates of the three points on the line AB that divide the segment AB into four segments.

4. in this exercise, write an expression that gives the distance between the given points in a coordinate plane

(x,0) , (-1, 3)

please and thank you :)

Answer 1

Here's the fourth one.

d = √[(x+1)² + (0-3)²]

d = √[x²+2x+1+9]

d = √(x²+2x+10)

All the other problems involve the distance formula, too.