4. The directrix of the parabola 12(y + 3) = (x-4)2 has the equation y=-6. Find the coordinates of
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ANSWER
EXPLANATION.
The orthocenter is the point of intersection of any two altitudes of the triangle.
First, you need to determine the slope of each side of the triangle.
△ABC has vertices A(2, 3), B(−4, −3), C(2, −3).
This line has undefined slope, which means it is a vertical line.
The slope of this line is zero, meaning the line is a horizontal line.
This implies that side BC and side AC of the given triangle are perpendicular and will intersect at C since they are the altitudes of triangle ABC.
Hence the orthocentre is
See diagram in attachment.
EXPLANATION.
The orthocenter is the point of intersection of any two altitudes of the triangle.
First, you need to determine the slope of each side of the triangle.
△ABC has vertices A(2, 3), B(−4, −3), C(2, −3).
This line has undefined slope, which means it is a vertical line.
The slope of this line is zero, meaning the line is a horizontal line.
This implies that side BC and side AC of the given triangle are perpendicular and will intersect at C since they are the altitudes of triangle ABC.
Hence the orthocentre is
See diagram in attachment.