<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:
A 48
D 0
O 7.5 (fraction form: 7 1/2)
E 21
Next line
E 34
N 36.8 (fraction form: 36 4/5)
L 9
T 8
Step-by-step explanation:
A (a)(c)
A (12)(4)
A 48
D 48 - (a + c)
D 48 - (12 + 4)
D 48 - 48
D 0
O (5a)/8
O 5(12)/8
O 60/8
O 7.5
E (ab)/c
E (12)(7)/(4)
E 84/4
E 21
Next line
E 2b + 5c
E 2(7) + 5(4)
E 14 + 20
E 34
N c(9.2)
N 4(9.2)
N 36.8
L 72/2c
L 72/2(4)
L 72/8
L 9
T (2/3)a
T (2/3)(12)
T 8
Answer: x = 25%
Step-by-step explanation: 45% + 30% = 75%
75% + 25% = 100%
Answer:
m' (-2, 4)
n' (-2, 1)
o' (3, 1)
p' (3, 4)
Step-by-step explanation:
