Answer:
x>4
Step-by-step explanation:
2x+8<5x-4
subtract 8 from both sides
2x<5x-12
subtract 5x from both sides
-3x<-12
divide both sides by -3 to get x by itself
(REMEMBER THAT WHEN YOU DIVIDE BY NEGATIVES IN INEQUALITIES, THAT YOU HAVE TO FLIP THE INEQUALITY SIGN)
x>4
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:
B
C
Step-by-step explanation:
B= one question equals one minute
C= one minute equals one question
The area is 50.24 cm.
The formula is π·r^2.
The radius is 4 cm, and you square it. 16 cm.
Then you multiply 16 by 3.14 (π). And you get 50.24 cm as the area.
