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Given:
A(16, 4)
B(34, 40)
Line segment AB partition in the ratio 1 : 5.
To find:
The coordinate of a point that partitions AB.
Solution:
Section formula:
Here and m = 1, n = 5
The coordinate of point that partitions the segment AB is (19, 10).
The correct answers for x would be 
.
In order to find this, we must first get the equation to equal 0. In order to do that, subtract 1 from each side to get the following.
11
- 4x - 1 = 0
Knowing this we can now use the quadratic equation using a = 11, b = -4 and c = -1. The quadratic equation is below.
Now we can plug the values into the equation to solve.
Then simplify using the order of operations.
.
In order to find this, we must first get the equation to equal 0. In order to do that, subtract 1 from each side to get the following.
11
Knowing this we can now use the quadratic equation using a = 11, b = -4 and c = -1. The quadratic equation is below.
Now we can plug the values into the equation to solve.
Then simplify using the order of operations.