Jabari owns 100 shares of Stock A and 45 shares of Stock B. For the past month, his stocks have been fluctuating inversely. Stoc
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Answer:
<h2>The length of the line segment VT is 13 units.</h2>Step-by-step explanation:
We know that SU and VT are chords. If the intersect at point R, we can define the following proportion
Where
Replacing all these expressions, we have
Solving for , we have
Now, notice that chord VT is form by the sum of RT and RV, so
Replacing the value of the variable
Therefore, the length of the line segment VT is 13 units.
The slope of the red line that is perpendicular to the green line is: -5/2.
<h3>What are the Slope Values of Perpendicular Lines?</h3>When one line lies perpendicular to another line, the slope of one must be the negative reciprocal of the other line.
<h3>What is the Negative Reciprocal of a Number?</h3>If given a number, i.e. a/b, the negative reciprocal of a/b would the opposite value of the reciprocal of a/b.
Reciprocal of a/b is b/a. Negative reciprocal of a/b would therefore be: -b/a.
Given that the slope of the green line is: 2/5. And it is perpendicular to the red line. The slope of the red line would be the negative reciprocal of 2/5.
Negative reciprocal of 2/5 is -5/2.
Therefore, the slope of the red line is: -5/2.
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