For line B to AC: y - 6 = (1/3)(x - 4); y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14
For line A to BC: y - 6 = (-1)(x - 0); y - 6 = -x, so y + x = 6
Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:
(3y - x = 14) + (y + x = 6) => 4y = 20, y = +5; Substitute this into y + x = 6: 5 + x = 6, x = +1
<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>
Answer:
x+115=180 x=65
90+65+y=180 y=25
Step-by-step explanation:
Answer:
0.55 mile / minute
Step-by-step explanation:
The average change of altitude per minute would simply be the ratio of distance descended over time. That is:
average change of altitude = distance / time
average change of altitude = 0.44 mile / 0.8 minutes
average change of altitude = 0.55 mile / minute
Answer:
Area or Volume?
Step-by-step explanation: