Answer:
1/x = 1/4 + 1/3
Step-by-step explanation:
In 4 hours Bethany did the whole fraction 1 of the house.
In 1 hour he would do 1/4 of it.
In 3 hours Colin did the whole fraction 1 of the house.
In 1 hour he would do 1/3 of it.
In 1 hour they would both do (1/4 + 1/3)
If it takes both of them x hours to finish 1 whole fraction of the house.
In 1 hour they will both do 1/x
That means that:
1/x = 1/4 + 1/3
That is the equation. x can be solved for.
Answer is (4,3)
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Add up the x coordinates to get 9+(-1) = 8. Divide this over two and we end up with 8/2 = 4
Repeat for the y coordinates: 9+(-3) = 6, which cuts in half to get 6/2 = 3
The midpoint is at (4,3)
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The midpoint formula is
where (x1,y1) and (x2,y2) are the endpoints.
2(5.9) is 11.8
Hopefully i is right I did this in my head.