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.
Answer:
The money he can save by buying them at Big 5 is $76.80.
Step-by-step explanation:
Given:
Footballs sell for $27.99 each at Sporting Goods.
Footballs sell for $21.59 each at Big 5.
The coach buys a dozen footballs.
Now, to find the amount he save by buying them at Big 5.
So, first we find the cost of footballs at Sporting Goods and at Big 5.
1 Dozen = 12 pieces.
Thus, the cost of footballs at Sporting Goods =
And, the cost of footballs at Big 5 =
Now, to get the amount coach can save by buying them at Big 5, we subtract both the cost as the cost of Sporting Goods is more than the Cost of Big 5:
The amount coach can save by buying them at Big 5 =

Therefore, the amount he can save by buying them at Big 5 is $76.80.
Answer:
x > 5
Step-by-step explanation:
Tell me if I'm wrong.
C loser that’s the correct number