please help me with math?

Question

Decide wheather the points are vertices of the right triangle?
1. (0,0),(0,3),(4,0)
2. (1,2),(3,0),(3,3)
3. You and a friend go biking. You bike 12 miles north and 2 miles east.What is the straight-line distance from your starting point?

Find the midpoint between the 2 point.
4. A company had sales of $500,000 in 1996 and sales of $720,000 in 1998.use the midpoint formula to find the companys sales in 1997?

Answer 1

Hi,

1 Yes, because (0,3) is directly above (0,0) and (4,0) is directly to the right of (0,0). Those segments from a right angle.

2 No, because while (3,3) is directly above (3.0), the other point is not directly left or right of either point, so no right angle is formed.

3. Use the Pythagorean theorem, a² + b² = c², Filling in the numbers, the equation becomes:

12² + 2² = c²
144 + 4 = c²
148 = c²
c = √(148) = 12.166 miles

4 The midpoint is found by Xmid = (x1 + x2)/2.
So xmid = 500000 + 720000)/2 = $610,000

I hope that helps!! :-)

Happy 4th!!

Answer 2

1. yes
2. no
3. yes and 12^2 + 2^2 = h^2