<span>Orthocenter is at (-3,3)
The orthocenter of a triangle is the intersection of the three heights of the triangle (a line passing through a vertex of the triangle that's perpendicular to the opposite side from the vertex. Those 3 lines should intersect at the same point and that point may be either inside or outside of the triangle. So, let's calculate the 3 lines (we could get by with just 2 of them, but the 3rd line acts as a nice cross check to make certain we didn't do any mistakes.)
Slope XY = (3 - 3)/(-3 - 1) = 0/-4 = 0
Ick. XY is a completely horizontal line and it's perpendicular will be a complete vertical line with a slope of infinity. But that's enough to tell us that the orthocenter will have the same x-coordinate value as vertex Z which is -3.
Slope XZ = (3 - 0)/(-3 - (-3)) = 3/0
Another ick. This slope is completely vertical. So the perpendicular will be complete horizontal with a slope of 0 and will have the same y-coordinate value as vertex Y which is 3.
So the orthocenter is at (-3,3).</span>
Answer:
The second box plot best represents the data
The correlation coefficient of the data given in the table, using a calculator, is of 0.35
<h3>How to find the correlation coefficient of a data-set using a calculator?</h3>
To find the coefficient, we need to insert the points (x,y) in the calculator.
In this problem, we have that:
- The values of x are: 90, 95, 80, 84, 75, 80.
- The values of y are: 80, 90, 90, 95, 75, 85.
Using a calculator, the coefficient is of 0.35.
More can be learned about correlation coefficients at brainly.com/question/25815006
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