100 POINTS!!! Given f(x) =
class="latex-formula"> + 6x and g(x) = 
+ 13x + 15, find 
(x). Show your work.
2 answers:
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9514 1404 393
Answer:
(a) (-2, 4)
Step-by-step explanation:
The orthocenter is the point of concurrence of the altitudes of the triangle.
A plot of the triangle vertices shows the triangle to be acute. That means the orthocenter is inside. This eliminates choices B, C, D, which are all points outside the triangle.
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Conveniently, side LM is horizontal. This means the orthocenter will have the x-coordinate of the vertical line through N, which is -2. Only one answer choice has an x-coordinate of -2:
a (-2, 4)
