<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 temperature at midnight is -12 degree Celsius
Step-by-step explanation:
Given -
Temperature at 6:00 PM = -20 degree Celsius
Let the temperature at midnight be X degree Celsius
From midnight to 6:00 am, the temperature rose by 8 degree Celsius
X - (-20) = 8
X = 8-20
X = -12 degree Celsius.
The temperature at midnight is -12 degree Celsius.
He has 87 nickels (divide 435 by 5).
6*12=72 thus you can reduce the fraction to-
1/12
Answer:
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Step-by-step explanation:
