Answer:
Step-by-step explanation:
The 9 in the hundredth place means 0.01 so this can be 1/10 of the number on its left and 1/100 of the number 2 places to the left and will be 1/1000 3 places to the left and will continue with the number of terms to the left adding 1, 0.
1 place left means 1 more 0; 1/10
2 place left means 2 more 0s; 1/100
3 places left means 3 more 0s; 1/1000
Answer:
Move to the left of the horizontal number line to substract
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:
Finding the average is a very straightforward concept. If you have a set of numbers, the average is found by adding all numbers in the set and dividing their sum by the total number of numbers added in the set.
example;
16, 17, 5, 27, 30, 20, 4, 1, 19, 9
add all 10 of these numbers together
16 + 17+ 5+27+30+4+1+19+9 = 148
divide 128 by 10
148 / 10 = 14.8
14.8 is the average
