4. Roger was growing plants for his science project. He measured the plants every day.
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The x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.
<h2>We have to determine</h2>
What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?
<h3>According to the question</h3>A line segment at points A(2, -3) and B (-4, 9).
The x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2 is given by;
Where
Substitute all the values in the formula;
Hence, the x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.
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Answer:
4/7
Step-by-step explanation:
Using the hint, we have an original fraction of x/(x+3). The given manipulations and relations can be used to find the value of x, and the original fraction.
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<h3>adding 2 to each term</h3>The new fraction is ...
Apparently, the new value of this fraction is 2/3. We can use this to find the value of x.
The original fraction is ...
4/(4+3) = 4/7
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<em>Alternate solution</em>
In the ratio 2/3, the numerator is twice the difference between the denominator and numerator. 2 = 2(3 -2)
The problem statement tells us the difference between the numerator and denominator is 3. That is not changed by adding the same number to each. This means the fraction equivalent to 2/3 is (2·3)/(3·3) = 6/9. Subtracting 2 from each of the numerator and denominator gives the original fraction:
(6-2)/(9-2) = 4/7