Great question! A midpoint is exactly what it sounds like; the point in the middle of two objects (in this case it's the middle of these two coordinates). Another way to think of the middle of something in math is by using the average. To find the midpoint of two points, we just find the average of the x-values and the average of the y-values:
((x1 + x2)/2 , (y1 + y2)/2)
((5 + -13) / 2 , (-4 + 12) / 2)
( -8 / 2 , 8 / 2)
(-4 , 4)
1.f
2.c
3.b
4.e
5.a
6.d
in order
Answer:
You can determine the root of the equation by multiple methods. However, that answer is correct. The root is -2.
Step-by-step explanation:
A root is where the graph crosses the x-axis. One trick I use to see if it is a root is by taking the numerator and plugging in the number for x. For example, 
, and take the -2 and plug it in for x. The numerator would cancel out because -2 + 2 = 0. That is the way you can determine if it is a root or not.
I hope this helps, if you need any clarification let me know :)
Answer:
Step-by-step explanation:
1) 4 1/4 + 5 1/2
= 9 3/4
2) 10 4/5 - 6 1/5
= 4 3/5
3) 3 1/4 - 1 3/4
= 1 1/2
4) 3 2/5 + 7 7/10
= 11 1/10
5 ) 10 3/13 + 2 10/13
= 13
