<span>weeks C. $20 down with equal payments of $10 for 12 </span>
The orthocenter is the point where the three altitudes meet.
sketch the graph and you will see that AB is a horizontal line, the altitude is a vertical line through the point (1,3), so the equation of this altitude is x=1
next, find another altitude. I'll use the altitude of BC.
the slope of BC is (6-3)/(4-1)=1, so the slope of the altitude, which is perpendicular to BC going through the point A (0,6), is -1, the equation of the altitude of BC is y=-x+6
the system of equation : x=1
y=-x+6
has a solution (1, 5)
the solution is where the two lines meet, the meeting point is the orthocenter.
Double check by find the equation for other altitude:
slope of AC: (3-6)/(1-0)=-3
slope of altitude of AC: 1/3
equation of altitude of AC: y=(1/3)x+b
the altitude of AC goes through point B (4,6), so we can find out b by plug x=4, y=6 in the equation: 6=(1/3)*4+b, b=14/3
y=(1/3)x+14/3
Is (1,5) also a solution to this equation? Plug x=1 in the equation, we get y=5, so yes, (1,5) is a point on the third altitude.
Ya I believe that is the answer. I got the exact same thing.
since we don't know any of your vocabulary, I might not be using the ones you learned
since we have points A and B and points F(A) and F(B), I think they want us to use the word 'translation'
"The function F(x) translates each point to the right without moving them up or down." would be my description
also the 2 lines are paralell
Answer:
⅓
Step-by-step explanation:
8+7+6
total= 21
blue= 7÷21
1/3
