Answer:
2/5 or 0.4
Step-by-step explanation:
rise over run is 20/50, simplifies to 2/5
You have the correct answer. Nice work. If you need to see the steps, then see below
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First we need to find the midpoint of H and I
The x coordinates of the two points are -4 and 2. They add to -4+2 = -2 and then cut that in half to get -1
Do the same for the y coordinates: 2+4 = 6 which cuts in half to get 3
So the midpoint of H and I is (-1,3). The perpendicular bisector will go through this midpoint
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Now we must find the slope of segment HI
H = (-4,2) = (x1,y1)
I = (2,4) = (x2,y2)
m = (y2 - y1)/(x2 - x1)
m = (4 - 2)/(2 - (-4))
m = (4 - 2)/(2 + 4)
m = 2/6
m = 1/3
Flip the fraction to get 1/3 ---> 3/1 = 3
Then flip the sign: +3 ----> -3
So the slope of the perpendicular bisector is -3
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Use m = -3 which is the slope we found
and (x,y) = (-1,3), which is the midpoint found earlier
to get the following
y = mx+b
3 = -3*(-1)+b
3 = 3+b
3-3 = 3+b-3
0 = b
b = 0
So if m = -3 and b = 0, then y = mx+b turns into y = -3x+0 and it simplifies to y = -3x
So that confirms you have the right answer. I've also used GeoGebra to help confirm the answer (see attached)
Well you would 12 12 because you double the number twice ad you would do 12 in 12 and you get 24
<h3>
The population P(t) at the end of year t is 
</h3>
Step-by-step explanation:
The initial population of town of Madison = 25,000
The rate at which the population is increasing = 1.12 times
So, the increase in population first year :
( the initial population) x
= 1.12 x ( 25,000)
= 28,000
So, the population at the end of first year = 28,000
Similarly, the increase in population second year :
( the initial population) x (1.12)² = ( 25,000) x (1.12)²
= 31,360
So, the population at the end of second year =31,360
Now, to calculate the population in t years from now:
The population P(t) at the end of year t is

Answer:
He won 13 times and lost 1 time
Step-by-step explanation:
divide 67 by 5 so 67÷5 you would get 13.4 you take the whole number 13 and multiply it by 5 and that will get you to 65 so then you only have 2 left over and if you lose you get 2 point so therefore you know that he lost only once
(13•5)+2=67