Which of the following diagrams includes an orthocenter? in order: a, b, c, d

ANSWER

The correct answer is option  A

EXPLANATION

The orthocenter is the point of intersection of all the altitudes of the triangle.

The altitudes are the vertical height of the triangle.

The altitudes emanate from one vertex of the triangle and meet the opposite side at right angles.

From the given diagrams, option A is the correct answer, because it has all the altitudes intersecting at a common point called the orthocenter.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: