We can find the midpoint of any line segment using the midpoint formula: M=(x1+x2/2,y1+y2/2). Essentially, the midpoint formula finds the average of two points. If we use B and the first point and C as the second, when we plug in our values we would have M=(5-4/2,9-5/2). This can be simplified to M=(1/2,4/2) or M=(1/2,2) which is the final answer.
<span>I hope this helps.</span>
Answer:
(p,r) = (1/3, 2/9)
Step-by-step explanation:
Here, we want to solve a system of equations
We can rewrite the second equation by dividing through by 2
So we have;
4p + 3r = 2
and
5p - 3r = 1
Add both equations:
9p = 3
p = 3/9
p = 1/3
Recall ;
5p - 3r = 1
3r = 5p - 1
Substitute the value or p here
3r = 5(1/3)-1
3r = 5/3 - 1
3r = 2/3
r = 2/9
So we have the solution set as;
(p,r) = (1/3 , 2/9)
Answer:
(x + 8)
Step-by-step explanation:
If you factor x2 + 5x – 24 using the AC method, it equals (x - 3) and (x + 8).
Answer:
x = -16
Step-by-step explanation:
When there are two lines that intersect at one point, the two angles that are directly opposite each other are equal. So in this case, (6x+175) = (3x + 127)
6x + 175 = 3x + 125
6x - 3x = 125 - 175
3x = -50
x = -50 ÷ 3
x = -16
